Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface

<!DOCTYPE html> <html lang="en" class="grade-c"> <head> <title>Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface | Nature</title> <link rel="alternate" type="application/rss+xml" href="https://www.nature.com/nature.rss"/> <script id="save-data-connection-testing"> function hasConnection() { return navigator.connection || navigator.mozConnection || navigator.webkitConnection || navigator.msConnection; } function createLink(src) { var preloadLink = document.createElement("link"); preloadLink.rel = "preload"; preloadLink.href = src; preloadLink.as = "font"; preloadLink.type = "font/woff2"; preloadLink.crossOrigin = ""; document.head.insertBefore(preloadLink, document.head.firstChild); } var connectionDetail = { saveDataEnabled: false, slowConnection: false }; var connection = hasConnection(); if (connection) { connectionDetail.saveDataEnabled = connection.saveData; if (/\slow-2g|2g/.test(connection.effectiveType)) { connectionDetail.slowConnection = true; } } if (!(connectionDetail.saveDataEnabled || connectionDetail.slowConnection)) { createLink("/static/fonts/HardingText-Regular-Web-cecd90984f.woff2"); } else { document.documentElement.classList.add('save-data'); } </script> <link rel="preconnect" href="https://cmp.nature.com" crossorigin> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <meta name="applicable-device" content="pc,mobile"> <meta name="viewport" content="width=device-width,initial-scale=1.0,maximum-scale=5,user-scalable=yes"> <meta name="360-site-verification" content="5a2dc4ab3fcb9b0393241ffbbb490480" /> <script data-test="dataLayer"> window.dataLayer = [{"content":{"category":{"contentType":"article","legacy":{"webtrendsPrimaryArticleType":"research","webtrendsSubjectTerms":"superconducting-properties-and-materials;surfaces-interfaces-and-thin-films","webtrendsContentCategory":null,"webtrendsContentCollection":null,"webtrendsContentGroup":"Nature","webtrendsContentGroupType":null,"webtrendsContentSubGroup":"Article","status":null}},"article":{"doi":"10.1038/s41586-024-08118-0"},"attributes":{"cms":null,"deliveryPlatform":"oscar","copyright":{"open":false,"legacy":{"webtrendsLicenceType":null}}},"contentInfo":{"authors":["Hongbin Yang","Yinong Zhou","Guangyao Miao","Ján Rusz","Xingxu Yan","Francisco Guzman","Xiaofeng Xu","Xianghan Xu","Toshihiro Aoki","Paul Zeiger","Xuetao Zhu","Weihua Wang","Jiandong Guo","Ruqian Wu","Xiaoqing Pan"],"publishedAt":1730246400,"publishedAtString":"2024-10-30","title":"Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface","legacy":null,"publishedAtTime":null,"documentType":"aplusplus","subjects":"Superconducting properties and materials,Surfaces, interfaces and thin films"},"journal":{"pcode":"nature","title":"nature","volume":"635","issue":"8038","id":41586,"publishingModel":"Hybrid Access"},"authorization":{"status":false},"features":[{"name":"furtherReadingSection","present":true}],"collection":null},"page":{"category":{"pageType":"article"},"attributes":{"template":"mosaic","featureFlags":[{"name":"nature-onwards-journey","active":false}],"testGroup":null},"search":null},"privacy":{},"version":"1.0.0","product":null,"session":null,"user":null,"backHalfContent":true,"country":"SG","hasBody":true,"uneditedManuscript":false,"twitterId":["o3xnx","o43y9","o3ef7"],"baiduId":"d38bce82bcb44717ccc29a90c4b781ea","japan":false}]; window.dataLayer.push({ ga4MeasurementId: 'G-ERRNTNZ807', ga360TrackingId: 'UA-71668177-1', twitterId: ['3xnx', 'o43y9', 'o3ef7'], baiduId: 'd38bce82bcb44717ccc29a90c4b781ea', ga4ServerUrl: 'https://collect.nature.com', imprint: 'nature' }); </script> <script> (function(w, d) { w.config = w.config || {}; w.config.mustardcut = false; if (w.matchMedia && w.matchMedia('only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)').matches) { w.config.mustardcut = true; d.classList.add('js'); d.classList.remove('grade-c'); d.classList.remove('no-js'); } })(window, document.documentElement); </script> <style>@media only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark) { .c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card--major .c-card__title,.c-card__title,.u-h2,.u-h3,h2,h3{-webkit-font-smoothing:antialiased;font-family:Harding,Palatino,serif;font-weight:700;letter-spacing:-.0117156rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card__title,.u-h3,h3{font-size:1.25rem;line-height:1.4rem}.c-reading-companion__figure-title,.u-h4,h4{-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.4rem}html{text-size-adjust:100%;box-sizing:border-box;font-size:100%;height:100%;line-height:1.15;overflow-y:scroll}body{background:#eee;color:#222;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.125rem;line-height:1.76;margin:0;min-height:100%}details,main{display:block}h1{font-size:2em;margin:.67em 0}a,sup{vertical-align:baseline}a{background-color:transparent;color:#069;overflow-wrap:break-word;text-decoration:underline;text-decoration-skip-ink:auto;word-break:break-word}b{font-weight:bolder}sup{font-size:75%;line-height:0;position:relative;top:-.5em}img{border:0;height:auto;max-width:100%;vertical-align:middle}button,input,select{font-family:inherit;font-size:100%;line-height:1.15;margin:0}button,input{overflow:visible}button,select{text-transform:none}[type=submit],button{-webkit-appearance:button}[type=checkbox]{box-sizing:border-box;padding:0}summary{display:list-item}[hidden]{display:none}button{border-radius:0;cursor:pointer;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}h1{-webkit-font-smoothing:antialiased;font-family:Harding,Palatino,serif;font-size:2rem;font-weight:700;letter-spacing:-.0390625rem;line-height:2.25rem}.c-card--major .c-card__title,.u-h2,.u-h3,h2{font-family:Harding,Palatino,serif;letter-spacing:-.0117156rem}.c-card--major .c-card__title,.u-h2,h2{-webkit-font-smoothing:antialiased;font-size:1.5rem;font-weight:700;line-height:1.6rem}.u-h3{font-size:1.25rem}.c-card__title,.c-reading-companion__figure-title,.u-h3,.u-h4,h4,h5,h6{-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.4rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card__title,h3{font-family:Harding,Palatino,serif;font-size:1.25rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,h3{-webkit-font-smoothing:antialiased;font-weight:700;letter-spacing:-.0117156rem;line-height:1.4rem}.c-reading-companion__figure-title,.u-h4,h4{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.125rem;letter-spacing:-.0117156rem}button:focus{outline:3px solid #fece3e;will-change:transform}input+label{padding-left:.5em}nav ol,nav ul{list-style:none none}p:empty{display:none}.sans-serif{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.article-page{background:#fff}.c-article-header{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;margin-bottom:40px}.c-article-identifiers{color:#6f6f6f;display:flex;flex-wrap:wrap;font-size:1rem;line-height:1.3;list-style:none;margin:0 0 8px;padding:0}.c-article-identifiers__item{border-right:1px solid #6f6f6f;list-style:none;margin-right:8px;padding-right:8px}.c-article-identifiers__item:last-child{border-right:0;margin-right:0;padding-right:0}.c-article-title{font-size:1.5rem;line-height:1.25;margin:0 0 16px}@media only screen and (min-width:768px){.c-article-title{font-size:1.875rem;line-height:1.2}}.c-article-author-list{display:inline;font-size:1rem;list-style:none;margin:0 8px 0 0;padding:0;width:100%}.c-article-author-list__item{display:inline;padding-right:0}.c-article-author-list svg{margin-left:4px}.c-article-author-list__show-more{display:none;margin-right:4px}.c-article-author-list__button,.js .c-article-author-list__item--hide,.js .c-article-author-list__show-more{display:none}.js .c-article-author-list--long .c-article-author-list__show-more,.js .c-article-author-list--long+.c-article-author-list__button{display:inline}@media only screen and (max-width:539px){.js .c-article-author-list__item--hide-small-screen{display:none}.js .c-article-author-list--short .c-article-author-list__show-more,.js .c-article-author-list--short+.c-article-author-list__button{display:inline}}#uptodate-client,.js .c-article-author-list--expanded .c-article-author-list__show-more{display:none!important}.js .c-article-author-list--expanded .c-article-author-list__item--hide-small-screen{display:inline!important}.c-article-author-list__button,.c-button-author-list{background:#ebf1f5;border:4px solid #ebf1f5;border-radius:20px;color:#666;font-size:.875rem;line-height:1.4;padding:2px 11px 2px 8px;text-decoration:none}.c-article-author-list__button svg,.c-button-author-list svg{margin:1px 4px 0 0}.c-article-author-list__button:hover,.c-button-author-list:hover{background:#069;border-color:transparent;color:#fff}.c-article-info-details{font-size:1rem;margin-bottom:8px;margin-top:16px}.c-article-info-details__cite-as{border-left:1px solid #6f6f6f;margin-left:8px;padding-left:8px}.c-article-metrics-bar{display:flex;flex-wrap:wrap;font-size:1rem;line-height:1.3}.c-article-metrics-bar__wrapper{margin:16px 0}.c-article-metrics-bar__item{align-items:baseline;border-right:1px solid #6f6f6f;margin-right:8px}.c-article-metrics-bar__item:last-child{border-right:0}.c-article-metrics-bar__count{font-weight:700;margin:0}.c-article-metrics-bar__label{color:#626262;font-style:normal;font-weight:400;margin:0 10px 0 5px}.c-article-metrics-bar__details{margin:0}.c-article-main-column{font-family:Harding,Palatino,serif;margin-right:8.6%;width:60.2%}@media only screen and (max-width:1023px){.c-article-main-column{margin-right:0;width:100%}}.c-article-extras{float:left;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;width:31.2%}@media only screen and (max-width:1023px){.c-article-extras{display:none}}.c-article-associated-content__container .c-article-associated-content__title,.c-article-section__title{border-bottom:2px solid #d5d5d5;font-size:1.25rem;margin:0;padding-bottom:8px}@media only screen and (min-width:768px){.c-article-associated-content__container .c-article-associated-content__title,.c-article-section__title{font-size:1.5rem;line-height:1.24}}.c-article-associated-content__container .c-article-associated-content__title{margin-bottom:8px}.c-article-body p{margin-bottom:24px;margin-top:0}.c-article-section{clear:both}.c-article-section__content{margin-bottom:40px;padding-top:8px}@media only screen and (max-width:1023px){.c-article-section__content{padding-left:0}}.c-article-authors-search{margin-bottom:24px;margin-top:0}.c-article-authors-search__item,.c-article-authors-search__title{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.c-article-authors-search__title{color:#626262;font-size:1.05rem;font-weight:700;margin:0;padding:0}.c-article-authors-search__item{font-size:1rem}.c-article-authors-search__text{margin:0}.c-article-license__badge,c-card__section{margin-top:8px}.c-code-block{border:1px solid #eee;font-family:monospace;margin:0 0 24px;padding:20px}.c-code-block__heading{font-weight:400;margin-bottom:16px}.c-code-block__line{display:block;overflow-wrap:break-word;white-space:pre-wrap}.c-article-share-box__no-sharelink-info{font-size:.813rem;font-weight:700;margin-bottom:24px;padding-top:4px}.c-article-share-box__only-read-input{border:1px solid #d5d5d5;box-sizing:content-box;display:inline-block;font-size:.875rem;font-weight:700;height:24px;margin-bottom:8px;padding:8px 10px}.c-article-share-box__button--link-like{background-color:transparent;border:0;color:#069;cursor:pointer;font-size:.875rem;margin-bottom:8px;margin-left:10px}.c-article-editorial-summary__container{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem}.c-article-editorial-summary__container .c-article-editorial-summary__content p:last-child{margin-bottom:0}.c-article-editorial-summary__container .c-article-editorial-summary__content--less{max-height:9.5rem;overflow:hidden}.c-article-editorial-summary__container .c-article-editorial-summary__button{background-color:#fff;border:0;color:#069;font-size:.875rem;margin-bottom:16px}.c-article-editorial-summary__container .c-article-editorial-summary__button.active,.c-article-editorial-summary__container .c-article-editorial-summary__button.hover,.c-article-editorial-summary__container .c-article-editorial-summary__button:active,.c-article-editorial-summary__container .c-article-editorial-summary__button:hover{text-decoration:underline;text-decoration-skip-ink:auto}.c-article-associated-content__container .c-article-associated-content__collection-label{font-size:.875rem;line-height:1.4}.c-article-associated-content__container .c-article-associated-content__collection-title{line-height:1.3}.c-context-bar{box-shadow:0 0 10px 0 rgba(51,51,51,.2);position:relative;width:100%}.c-context-bar__title{display:none}.c-reading-companion{clear:both;min-height:389px}.c-reading-companion__sticky{max-width:389px}.c-reading-companion__scroll-pane{margin:0;min-height:200px;overflow:hidden auto}.c-reading-companion__tabs{display:flex;flex-flow:row nowrap;font-size:1rem;list-style:none;margin:0 0 8px;padding:0}.c-reading-companion__tabs>li{flex-grow:1}.c-reading-companion__tab{background-color:#eee;border:1px solid #d5d5d5;border-image:initial;border-left-width:0;color:#069;font-size:1rem;padding:8px 8px 8px 15px;text-align:left;width:100%}.c-reading-companion__tabs li:first-child .c-reading-companion__tab{border-left-width:1px}.c-reading-companion__tab--active{background-color:#fff;border-bottom:1px solid #fff;color:#222;font-weight:700}.c-reading-companion__sections-list{list-style:none;padding:0}.c-reading-companion__figures-list,.c-reading-companion__references-list{list-style:none;min-height:389px;padding:0}.c-reading-companion__references-list--numeric{list-style:decimal inside}.c-reading-companion__sections-list{margin:0 0 8px;min-height:50px}.c-reading-companion__section-item{font-size:1rem;padding:0}.c-reading-companion__section-item a{display:block;line-height:1.5;overflow:hidden;padding:8px 0 8px 16px;text-overflow:ellipsis;white-space:nowrap}.c-reading-companion__figure-item{border-top:1px solid #d5d5d5;font-size:1rem;padding:16px 8px 16px 0}.c-reading-companion__figure-item:first-child{border-top:none;padding-top:8px}.c-reading-companion__reference-item{border-top:1px solid #d5d5d5;font-size:1rem;padding:8px 8px 8px 16px}.c-reading-companion__reference-item:first-child{border-top:none}.c-reading-companion__reference-item a{word-break:break-word}.c-reading-companion__reference-citation{display:inline}.c-reading-companion__reference-links{font-size:.813rem;font-weight:700;list-style:none;margin:8px 0 0;padding:0;text-align:right}.c-reading-companion__reference-links>a{display:inline-block;padding-left:8px}.c-reading-companion__reference-links>a:first-child{display:inline-block;padding-left:0}.c-reading-companion__figure-title{display:block;margin:0 0 8px}.c-reading-companion__figure-links{display:flex;justify-content:space-between;margin:8px 0 0}.c-reading-companion__figure-links>a{align-items:center;display:flex}.c-reading-companion__figure-full-link svg{height:.8em;margin-left:2px}.c-reading-companion__panel{border-top:none;display:none;margin-top:0;padding-top:0}.c-cod,.c-reading-companion__panel--active{display:block}.c-cod{font-size:1rem;width:100%}.c-cod__form{background:#ebf0f3}.c-cod__prompt{font-size:1.125rem;line-height:1.3;margin:0 0 24px}.c-cod__label{display:block;margin:0 0 4px}.c-cod__row{display:flex;margin:0 0 16px}.c-cod__row:last-child{margin:0}.c-cod__input{border:1px solid #d5d5d5;border-radius:2px;flex-basis:75%;flex-shrink:0;margin:0;padding:13px}.c-cod__input--submit{background-color:#069;border:1px solid #069;color:#fff;flex-shrink:1;margin-left:8px;transition:background-color .2s ease-out 0s,color .2s ease-out 0s}.c-cod__input--submit-single{flex-basis:100%;flex-shrink:0;margin:0}.c-cod__input--submit:focus,.c-cod__input--submit:hover{background-color:#fff;color:#069}.c-pdf-download__link .u-icon{padding-top:2px}.c-pdf-download{display:flex;margin-bottom:16px;max-height:48px}@media only screen and (min-width:540px){.c-pdf-download{max-height:none}}@media only screen and (min-width:1024px){.c-pdf-download{max-height:48px}}.c-pdf-download__link{display:flex;flex:1 1 0%}.c-pdf-download__link:hover{text-decoration:none}.c-pdf-download__text{padding-right:4px}@media only screen and (max-width:539px){.c-pdf-download__text{text-transform:capitalize}}@media only screen and (min-width:540px){.c-pdf-download__text{padding-right:8px}}.c-context-bar--sticky .c-pdf-download{display:block;margin-bottom:0;white-space:nowrap}@media only screen and (max-width:539px){.c-pdf-download .u-sticky-visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}}.c-pdf-container{display:flex;justify-content:flex-end}@media only screen and (max-width:539px){.c-pdf-container .c-pdf-download{display:flex;flex-basis:100%}}.c-pdf-container .c-pdf-download+.c-pdf-download{margin-left:16px}.c-article-extras .c-pdf-container .c-pdf-download{width:100%}.c-article-extras .c-pdf-container .c-pdf-download+.c-pdf-download{margin-left:0}@media only screen and (min-width:540px){.c-context-bar--sticky .c-pdf-download__link{align-items:center;flex:1 1 183px}}@media only screen and (max-width:320px){.c-context-bar--sticky .c-pdf-download__link{padding:16px}}.article-page--commercial .c-article-main-column .c-pdf-button__container .c-pdf-download{display:none}@media only screen and (max-width:1023px){.article-page--commercial .c-article-main-column .c-pdf-button__container .c-pdf-download{display:block}}.c-status-message--success{border-bottom:2px solid #00b8b0;justify-content:center;margin-bottom:16px;padding-bottom:8px}.c-recommendations-list__item .c-card{flex-basis:100%}.c-recommendations-list__item .c-card__image{align-items:baseline;flex:1 1 40%;margin:0 0 0 16px;max-width:150px}.c-recommendations-list__item .c-card__image img{border:1px solid #cedbe0;height:auto;min-height:0;position:static}@media only screen and (max-width:1023px){.c-recommendations-list__item .c-card__image{display:none}}.c-card__layout{display:flex;flex:1 1 auto;justify-content:space-between}.c-card__title-recommendation{-webkit-box-orient:vertical;-webkit-line-clamp:4;display:-webkit-box;font-size:1rem;font-weight:700;line-height:1.4;margin:0 0 8px;max-height:5.6em;overflow:hidden!important;text-overflow:ellipsis}.c-card__title-recommendation .c-card__link{color:inherit}.c-card__title-recommendation .c-card__link:hover{text-decoration:underline}.c-card__title-recommendation .MathJax_Display{display:inline!important}.c-card__link:not(.c-card__link--no-block-link):before{z-index:1}.c-article-metrics__heading a,.c-article-metrics__posts .c-card__title a,.c-article-recommendations-card__link{color:inherit}.c-recommendations-column-switch .c-meta{margin-top:auto}.c-article-recommendations-card__meta-type,.c-meta .c-meta__item:first-child{font-weight:700}.c-article-body .c-article-recommendations-card__authors{display:none;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.5;margin:0 0 8px}@media only screen and (max-width:539px){.c-article-body .c-article-recommendations-card__authors{display:block;margin:0}}.c-article-metrics__posts .c-card__title{font-size:1.05rem}.c-article-metrics__posts .c-card__title+span{color:#6f6f6f;font-size:1rem}p{overflow-wrap:break-word;word-break:break-word}.c-ad{text-align:center}@media only screen and (min-width:320px){.c-ad{padding:8px}}.c-ad--728x90{background-color:#ccc;display:none}.c-ad--728x90 .c-ad__inner{min-height:calc(1.5em + 94px)}@media only screen and (min-width:768px){.js .c-ad--728x90{display:none}}.c-ad__label{color:#333;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;font-weight:400;line-height:1.5;margin-bottom:4px}.c-author-list{color:#6f6f6f;font-family:inherit;font-size:1rem;line-height:inherit;list-style:none;margin:0;padding:0}.c-author-list>li,.c-breadcrumbs>li,.c-footer__links>li,.js .c-author-list,.u-list-comma-separated>li,.u-list-inline>li{display:inline}.c-author-list>li:not(:first-child):not(:last-child):before{content:", "}.c-author-list>li:not(:only-child):last-child:before{content:" & "}.c-author-list--compact{font-size:.875rem;line-height:1.4}.c-author-list--truncated>li:not(:only-child):last-child:before{content:" ... "}.js .c-author-list__hide{display:none;visibility:hidden}.js .c-author-list__hide:first-child+*{margin-block-start:0}.c-meta{color:inherit;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.4;list-style:none;margin:0;padding:0}.c-meta--large{font-size:1rem}.c-meta--large .c-meta__item{margin-bottom:8px}.c-meta__item{display:inline-block;margin-bottom:4px}.c-meta__item:not(:last-child){border-right:1px solid #d5d5d5;margin-right:4px;padding-right:4px}@media only screen and (max-width:539px){.c-meta__item--block-sm-max{display:block}.c-meta__item--block-sm-max:not(:last-child){border-right:none;margin-right:0;padding-right:0}}@media only screen and (min-width:1024px){.c-meta__item--block-at-lg{display:block}.c-meta__item--block-at-lg:not(:last-child){border-right:none;margin-right:0;padding-right:0}}.c-meta__type{font-weight:700;text-transform:none}.c-skip-link{background:#069;bottom:auto;color:#fff;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;padding:8px;position:absolute;text-align:center;transform:translateY(-100%);z-index:9999}@media (prefers-reduced-motion:reduce){.c-skip-link{transition:top .3s ease-in-out 0s}}@media print{.c-skip-link{display:none}}.c-skip-link:link{color:#fff}.c-status-message{align-items:center;box-sizing:border-box;display:flex;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;position:relative;width:100%}.c-card__summary>p:last-child,.c-status-message :last-child{margin-bottom:0}.c-status-message--boxed{background-color:#fff;border:1px solid #eee;border-radius:2px;line-height:1.4;padding:16px}.c-status-message__heading{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;font-weight:700}.c-status-message__icon{fill:currentcolor;display:inline-block;flex:0 0 auto;height:1.5em;margin-right:8px;transform:translate(0);vertical-align:text-top;width:1.5em}.c-status-message__icon--top{align-self:flex-start}.c-status-message--info .c-status-message__icon{color:#003f8d}.c-status-message--boxed.c-status-message--info{border-bottom:4px solid #003f8d}.c-status-message--error .c-status-message__icon{color:#c40606}.c-status-message--boxed.c-status-message--error{border-bottom:4px solid #c40606}.c-status-message--success .c-status-message__icon{color:#00b8b0}.c-status-message--boxed.c-status-message--success{border-bottom:4px solid #00b8b0}.c-status-message--warning .c-status-message__icon{color:#edbc53}.c-status-message--boxed.c-status-message--warning{border-bottom:4px solid #edbc53}.c-breadcrumbs{color:#000;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;list-style:none;margin:0;padding:0}.c-breadcrumbs__link{color:#666}svg.c-breadcrumbs__chevron{fill:#888;height:10px;margin:4px 4px 0;width:10px}@media only screen and (max-width:539px){.c-breadcrumbs .c-breadcrumbs__item{display:none}.c-breadcrumbs .c-breadcrumbs__item:last-child,.c-breadcrumbs .c-breadcrumbs__item:nth-last-child(2){display:inline}}.c-card{background-color:transparent;border:0;box-shadow:none;display:flex;flex-direction:column;font-size:14px;min-width:0;overflow:hidden;padding:0;position:relative}.c-card--no-shape{background:0 0;border:0;box-shadow:none}.c-card__image{display:flex;justify-content:center;overflow:hidden;padding-bottom:56.25%;position:relative}@supports (aspect-ratio:1/1){.c-card__image{padding-bottom:0}}.c-card__image img{left:0;min-height:100%;min-width:100%;position:absolute}@supports ((-o-object-fit:cover) or (object-fit:cover)){.c-card__image img{height:100%;object-fit:cover;width:100%}}.c-card__body{flex:1 1 auto;padding:16px}.c-card--no-shape .c-card__body{padding:0}.c-card--no-shape .c-card__body:not(:first-child){padding-top:16px}.c-card__title{letter-spacing:-.01875rem;margin-bottom:8px;margin-top:0}[lang=de] .c-card__title{hyphens:auto}.c-card__summary{line-height:1.4}.c-card__summary>p{margin-bottom:5px}.c-card__summary a{text-decoration:underline}.c-card__link:not(.c-card__link--no-block-link):before{bottom:0;content:"";left:0;position:absolute;right:0;top:0}.c-card--flush .c-card__body{padding:0}.c-card--major{font-size:1rem}.c-card--dark{background-color:#29303c;border-width:0;color:#e3e4e5}.c-card--dark .c-card__title{color:#fff}.c-card--dark .c-card__link,.c-card--dark .c-card__summary a{color:inherit}.c-header{background-color:#fff;border-bottom:5px solid #000;font-size:1rem;line-height:1.4;margin-bottom:16px}.c-header__row{padding:0;position:relative}.c-header__row:not(:last-child){border-bottom:1px solid #eee}.c-header__split{align-items:center;display:flex;justify-content:space-between}.c-header__logo-container{flex:1 1 0px;line-height:0;margin:8px 24px 8px 0}.c-header__logo{transform:translateZ(0)}.c-header__logo img{max-height:32px}.c-header__container{margin:0 auto;max-width:1280px}.c-header__menu{align-items:center;display:flex;flex:0 1 auto;flex-wrap:wrap;font-weight:700;gap:8px 8px;line-height:1.4;list-style:none;margin:0 -8px;padding:0}@media print{.c-header__menu{display:none}}@media only screen and (max-width:1023px){.c-header__menu--hide-lg-max{display:none;visibility:hidden}}.c-header__menu--global{font-weight:400;justify-content:flex-end}.c-header__menu--global svg{display:none;visibility:hidden}.c-header__menu--global svg:first-child+*{margin-block-start:0}@media only screen and (min-width:540px){.c-header__menu--global svg{display:block;visibility:visible}}.c-header__menu--journal{font-size:.875rem;margin:8px 0 8px -8px}@media only screen and (min-width:540px){.c-header__menu--journal{flex-wrap:nowrap;font-size:1rem}}.c-header__item{padding-bottom:0;padding-top:0;position:static}.c-header__item--pipe{border-left:2px solid #eee;padding-left:8px}.c-header__item--padding{padding-bottom:8px;padding-top:8px}@media only screen and (min-width:540px){.c-header__item--dropdown-menu{position:relative}}@media only screen and (min-width:1024px){.c-header__item--hide-lg{display:none;visibility:hidden}}@media only screen and (max-width:767px){.c-header__item--hide-md-max{display:none;visibility:hidden}.c-header__item--hide-md-max:first-child+*{margin-block-start:0}}.c-header__link{align-items:center;color:inherit;display:inline-flex;gap:4px 4px;padding:8px;white-space:nowrap}.c-header__link svg{transition-duration:.2s}.c-header__show-text{display:none;visibility:hidden}.has-tethered .c-header__heading--js-hide:first-child+*{margin-block-start:0}@media only screen and (min-width:540px){.c-header__show-text{display:inline;visibility:visible}}.c-header__dropdown{background-color:#000;border-bottom:1px solid #2f2f2f;color:#eee;font-size:.875rem;line-height:1.2;padding:16px 0}@media print{.c-header__dropdown{display:none}}.c-header__heading{display:inline-block;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.25rem;font-weight:400;line-height:1.4;margin-bottom:8px}.c-header__heading--keyline{border-top:1px solid;border-color:#2f2f2f;margin-top:16px;padding-top:16px;width:100%}.c-header__list{display:flex;flex-wrap:wrap;gap:0 16px;list-style:none;margin:0 -8px}.c-header__flush{margin:0 -8px}.c-header__visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}.c-header__search-form{margin-bottom:8px}.c-header__search-layout{display:flex;flex-wrap:wrap;gap:16px 16px}.c-header__search-layout>:first-child{flex:999 1 auto}.c-header__search-layout>*{flex:1 1 auto}.c-header__search-layout--max-width{max-width:720px}.c-header__search-button{align-items:center;background-color:transparent;background-image:none;border:1px solid #fff;border-radius:2px;color:#fff;cursor:pointer;display:flex;font-family:sans-serif;font-size:1rem;justify-content:center;line-height:1.15;margin:0;padding:8px 16px;position:relative;text-decoration:none;transition:all .25s ease 0s,color .25s ease 0s,border-color .25s ease 0s;width:100%}.u-button svg,.u-button--primary svg{fill:currentcolor}.c-header__input,.c-header__select{border:1px solid;border-radius:3px;box-sizing:border-box;font-size:1rem;padding:8px 16px;width:100%}.c-header__select{-webkit-appearance:none;background-image:url("data:image/svg+xml,%3Csvg height='16' viewBox='0 0 16 16' width='16' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z' fill='%23333' fill-rule='evenodd' transform='matrix(0 1 -1 0 11 3)'/%3E%3C/svg%3E");background-position:right .7em top 50%;background-repeat:no-repeat;background-size:1em;box-shadow:0 1px 0 1px rgba(0,0,0,.04);display:block;margin:0;max-width:100%;min-width:150px}@media only screen and (min-width:540px){.c-header__menu--journal .c-header__item--dropdown-menu:last-child .c-header__dropdown.has-tethered{left:auto;right:0}}@media only screen and (min-width:768px){.c-header__menu--journal .c-header__item--dropdown-menu:last-child .c-header__dropdown.has-tethered{left:0;right:auto}}.c-header__dropdown.has-tethered{border-bottom:0;border-radius:0 0 2px 2px;left:0;position:absolute;top:100%;transform:translateY(5px);width:100%;z-index:1}@media only screen and (min-width:540px){.c-header__dropdown.has-tethered{transform:translateY(8px);width:auto}}@media only screen and (min-width:768px){.c-header__dropdown.has-tethered{min-width:225px}}.c-header__dropdown--full-width.has-tethered{padding:32px 0 24px;transform:none;width:100%}.has-tethered .c-header__heading--js-hide{display:none;visibility:hidden}.has-tethered .c-header__list--js-stack{flex-direction:column}.has-tethered .c-header__item--keyline,.has-tethered .c-header__list~.c-header__list .c-header__item:first-child{border-top:1px solid #d5d5d5;margin-top:8px;padding-top:8px}.c-header__item--snid-account-widget{display:flex}.c-header__container{padding:0 4px}.c-header__list{padding:0 12px}.c-header__menu .c-header__link{font-size:14px}.c-header__item--snid-account-widget .c-header__link{padding:8px}.c-header__menu--journal{margin-left:0}@media only screen and (min-width:540px){.c-header__container{padding:0 16px}.c-header__menu--journal{margin-left:-8px}.c-header__menu .c-header__link{font-size:16px}.c-header__link--search{gap:13px 13px}}.u-button{align-items:center;background-color:transparent;background-image:none;border:1px solid #069;border-radius:2px;color:#069;cursor:pointer;display:inline-flex;font-family:sans-serif;font-size:1rem;justify-content:center;line-height:1.3;margin:0;padding:8px;position:relative;text-decoration:none;transition:all .25s ease 0s,color .25s ease 0s,border-color .25s ease 0s;width:auto}.u-button--primary{background-color:#069;background-image:none;border:1px solid #069;color:#fff}.u-button--full-width{display:flex;width:100%}.u-display-none{display:none}.js .u-js-hide,.u-hide{display:none;visibility:hidden}.u-hide:first-child+*{margin-block-start:0}.u-visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}@media print{.u-hide-print{display:none}}@media only screen and (min-width:1024px){.u-hide-at-lg{display:none;visibility:hidden}.u-hide-at-lg:first-child+*{margin-block-start:0}}.u-clearfix:after,.u-clearfix:before{content:"";display:table}.u-clearfix:after{clear:both}.u-color-open-access{color:#b74616}.u-float-left{float:left}.u-icon{fill:currentcolor;display:inline-block;height:1em;transform:translate(0);vertical-align:text-top;width:1em}.u-full-height{height:100%}.u-list-reset{list-style:none;margin:0;padding:0}.u-sans-serif{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.u-container{margin:0 auto;max-width:1280px;padding:0 16px}.u-justify-content-space-between{justify-content:space-between}.u-mt-32{margin-top:32px}.u-mb-8{margin-bottom:8px}.u-mb-16{margin-bottom:16px}.u-mb-24{margin-bottom:24px}.u-mb-32{margin-bottom:32px}.c-nature-box svg+.c-article__button-text,.u-ml-8{margin-left:8px}.u-pa-16{padding:16px}html *,html :after,html :before{box-sizing:inherit}.c-article-section__title,.c-article-title{font-weight:700}.c-card__title{line-height:1.4em}.c-article__button{background-color:#069;border:1px solid #069;border-radius:2px;color:#fff;display:flex;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.4;margin-bottom:16px;padding:13px;transition:background-color .2s ease-out 0s,color .2s ease-out 0s}.c-article__button,.c-article__button:hover{text-decoration:none}.c-article__button--inverted,.c-article__button:hover{background-color:#fff;color:#069}.c-article__button--inverted:hover{background-color:#069;color:#fff}.c-header__link{text-decoration:inherit}.grade-c-hide{display:block}.u-lazy-ad-wrapper{background-color:#ccc;display:none;min-height:137px}@media only screen and (min-width:768px){.u-lazy-ad-wrapper{display:block}}.c-nature-box{background-color:#fff;border:1px solid #d5d5d5;border-radius:2px;box-shadow:0 0 5px 0 rgba(51,51,51,.1);line-height:1.3;margin-bottom:24px;padding:16px 16px 3px}.c-nature-box__text{font-size:1rem;margin-bottom:16px}.c-nature-box .c-pdf-download{margin-bottom:16px!important}.c-nature-box--version{background-color:#eee}.c-nature-box__wrapper{transform:translateZ(0)}.c-nature-box__wrapper--placeholder{min-height:165px}.c-pdf-download__link{padding:13px 24px} } </style> <link data-test="critical-css-handler" data-inline-css-source="critical-css" rel="stylesheet" href="/static/css/enhanced-article-nature-branded-d54f9178e8.css" media="print" onload="this.media='only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)';this.onload=null"> <noscript> <link rel="stylesheet" type="text/css" href="/static/css/enhanced-article-nature-branded-d54f9178e8.css" media="only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)"> </noscript> <link rel="stylesheet" type="text/css" href="/static/css/article-print-122346e276.css" media="print"> <link rel="apple-touch-icon" sizes="180x180" href=/static/images/favicons/nature/apple-touch-icon-f39cb19454.png> <link rel="icon" type="image/png" sizes="48x48" href=/static/images/favicons/nature/favicon-48x48-b52890008c.png> <link rel="icon" type="image/png" sizes="32x32" href=/static/images/favicons/nature/favicon-32x32-3fe59ece92.png> <link rel="icon" type="image/png" sizes="16x16" href=/static/images/favicons/nature/favicon-16x16-951651ab72.png> <link rel="manifest" href=/static/manifest.json crossorigin="use-credentials"> <link rel="mask-icon" href=/static/images/favicons/nature/safari-pinned-tab-69bff48fe6.svg color="#000000"> <link rel="shortcut icon" href=/static/images/favicons/nature/favicon.ico> <meta name="msapplication-TileColor" content="#000000"> <meta name="msapplication-config" content=/static/browserconfig.xml> <meta name="theme-color" content="#000000"> <meta name="application-name" content="Nature"> <script> (function () { if ( typeof window.CustomEvent === "function" ) return false; function CustomEvent ( event, params ) { params = params || { bubbles: false, cancelable: false, detail: null }; var evt = document.createEvent( 'CustomEvent' ); evt.initCustomEvent( event, params.bubbles, params.cancelable, params.detail ); return evt; } CustomEvent.prototype = window.Event.prototype; window.CustomEvent = CustomEvent; })(); </script>  <script data-test="gtm-head"> window.initGTM = function() { if (window.config.mustardcut) { (function (w, d, s, l, i) { w[l] = w[l] || []; w[l].push({'gtm.start': new Date().getTime(), event: 'gtm.js'}); var f = d.getElementsByTagName(s)[0], j = d.createElement(s), dl = l != 'dataLayer' ? '&l=' + l : ''; j.async = true; j.src = 'https://www.googletagmanager.com/gtm.js?id=' + i + dl; f.parentNode.insertBefore(j, f); })(window, document, 'script', 'dataLayer', 'GTM-MRVXSHQ'); } } </script>  <script> (function(w,d,t) { function cc() { var h = w.location.hostname; if (h.indexOf('preview-www.nature.com') > -1) return; var e = d.createElement(t), s = d.getElementsByTagName(t)[0]; if (h.indexOf('nature.com') > -1) { if (h.indexOf('test-www.nature.com') > -1) { e.src = 'https://cmp.nature.com/production_live/en/consent-bundle-8-74.js'; e.setAttribute('onload', "initGTM(window,document,'script','dataLayer','GTM-MRVXSHQ')"); } else { e.src = 'https://cmp.nature.com/production_live/en/consent-bundle-8-74.js'; e.setAttribute('onload', "initGTM(window,document,'script','dataLayer','GTM-MRVXSHQ')"); } } else { e.src = '/static/js/cookie-consent-es5-bundle-cb57c2c98a.js'; e.setAttribute('data-consent', h); } s.insertAdjacentElement('afterend', e); } cc(); })(window,document,'script'); </script> <script id="js-position0"> (function(w, d) { w.idpVerifyPrefix = 'https://verify.nature.com'; w.ra21Host = 'https://wayf.springernature.com'; var moduleSupport = (function() { return 'noModule' in d.createElement('script'); })(); if (w.config.mustardcut === true) { w.loader = { index: 0, registered: [], scripts: [ {src: '/static/js/global-article-es6-bundle-c8a573ca90.js', test: 'global-article-js', module: true}, {src: '/static/js/global-article-es5-bundle-d17603b9e9.js', test: 'global-article-js', nomodule: true}, {src: '/static/js/shared-es6-bundle-606cb67187.js', test: 'shared-js', module: true}, {src: '/static/js/shared-es5-bundle-e919764a53.js', test: 'shared-js', nomodule: true}, {src: '/static/js/header-150-es6-bundle-5bb959eaa1.js', test: 'header-150-js', module: true}, {src: '/static/js/header-150-es5-bundle-994fde5b1d.js', test: 'header-150-js', nomodule: true} ].filter(function (s) { if (s.src === null) return false; if (moduleSupport && s.nomodule) return false; return !(!moduleSupport && s.module); }), register: function (value) { this.registered.push(value); }, ready: function () { if (this.registered.length === this.scripts.length) { this.registered.forEach(function (fn) { if (typeof fn === 'function') { setTimeout(fn, 0); } }); this.ready = function () {}; } }, insert: function (s) { var t = d.getElementById('js-position' + this.index); if (t && t.insertAdjacentElement) { t.insertAdjacentElement('afterend', s); } else { d.head.appendChild(s); } ++this.index; }, createScript: function (script, beforeLoad) { var s = d.createElement('script'); s.id = 'js-position' + (this.index + 1); s.setAttribute('data-test', script.test); if (beforeLoad) { s.defer = 'defer'; s.onload = function () { if (script.noinit) { loader.register(true); } if (d.readyState === 'interactive' || d.readyState === 'complete') { loader.ready(); } }; } else { s.async = 'async'; } s.src = script.src; return s; }, init: function () { this.scripts.forEach(function (s) { loader.insert(loader.createScript(s, true)); }); d.addEventListener('DOMContentLoaded', function () { loader.ready(); var conditionalScripts; conditionalScripts = [ {match: 'div[data-pan-container]', src: '/static/js/pan-zoom-es6-bundle-464a2af269.js', test: 'pan-zoom-js', module: true }, {match: 'div[data-pan-container]', src: '/static/js/pan-zoom-es5-bundle-98fb9b653b.js', test: 'pan-zoom-js', nomodule: true }, {match: 'math,span.mathjax-tex', src: '/static/js/math-es6-bundle-23597ae350.js', test: 'math-js', module: true}, {match: 'math,span.mathjax-tex', src: '/static/js/math-es5-bundle-6532c6f78b.js', test: 'math-js', nomodule: true} ]; if (conditionalScripts) { conditionalScripts.filter(function (script) { return !!document.querySelector(script.match) && !((moduleSupport && script.nomodule) || (!moduleSupport && script.module)); }).forEach(function (script) { loader.insert(loader.createScript(script)); }); } }, false); } }; loader.init(); } })(window, document); </script> <meta name="robots" content="noarchive"> <meta name="access" content="No"> <link rel="search" href="https://www.nature.com/search"> <link rel="search" href="https://www.nature.com/opensearch/opensearch.xml" type="application/opensearchdescription+xml" title="nature.com"> <link rel="search" href="https://www.nature.com/opensearch/request" type="application/sru+xml" title="nature.com"> <script type="application/ld+json">{"mainEntity":{"headline":"Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface","description":"The remarkable increase in superconducting transition temperature (Tc) observed at the interface of one-unit-cell FeSe films on SrTiO3 substrates (1 uc FeSe/STO)1 has attracted considerable research into the interface effects2–6. Although this high Tc is thought to be associated with electron–phonon coupling (EPC)2, the microscopic coupling mechanism and its role in the superconductivity remain elusive. Here we use momentum-selective high-resolution electron energy loss spectroscopy to atomically resolve the phonons at the FeSe/STO interface. We uncover new optical phonon modes, coupling strongly with electrons, in the energy range of 75–99 meV. These modes are characterized by out-of-plane vibrations of oxygen atoms in the interfacial double-TiOx layer and the apical oxygens in STO. Our results also demonstrate that the EPC strength and superconducting gap of 1 uc FeSe/STO are closely related to the interlayer spacing between FeSe and the TiOx terminated STO. These findings shed light on the microscopic origin of the interfacial EPC and provide insights into achieving large and consistent Tc enhancement in FeSe/STO and potentially other superconducting systems. Phonons at the FeSe/STO interface are imaged at atomic scale, uncovering new optical phonon modes that couple strongly with electrons, shedding light on the microscopic origin of the interfacial EPC and providing insights into achieving superconducting transition temperature enhancement.","datePublished":"2024-10-30T00:00:00Z","dateModified":"2024-10-30T00:00:00Z","pageStart":"332","pageEnd":"336","sameAs":"https://doi.org/10.1038/s41586-024-08118-0","keywords":["Superconducting properties and materials","Surfaces, interfaces and thin films","Science","Humanities and Social Sciences","multidisciplinary"],"image":["https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig1_HTML.png","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig2_HTML.png","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig3_HTML.png","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig4_HTML.png"],"isPartOf":{"name":"Nature","issn":["1476-4687","0028-0836"],"volumeNumber":"635","@type":["Periodical","PublicationVolume"]},"publisher":{"name":"Nature Publishing Group UK","logo":{"url":"https://www.springernature.com/app-sn/public/images/logo-springernature.png","@type":"ImageObject"},"@type":"Organization"},"author":[{"name":"Hongbin Yang","url":"http://orcid.org/0000-0002-0098-6944","affiliation":[{"name":"University of California","address":{"name":"Department of Materials Science and Engineering, University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Yinong Zhou","url":"http://orcid.org/0000-0002-4427-0032","affiliation":[{"name":"University of California","address":{"name":"Department of Physics and Astronomy, University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Guangyao Miao","url":"http://orcid.org/0000-0003-3776-5851","affiliation":[{"name":"Chinese Academy of Sciences","address":{"name":"Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Ján Rusz","url":"http://orcid.org/0000-0002-0074-1349","affiliation":[{"name":"Uppsala University","address":{"name":"Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Xingxu Yan","url":"http://orcid.org/0000-0001-7991-4849","affiliation":[{"name":"University of California","address":{"name":"Department of Materials Science and Engineering, University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Francisco Guzman","affiliation":[{"name":"University of California","address":{"name":"Department of Materials Science and Engineering, University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Xiaofeng Xu","affiliation":[{"name":"Chinese Academy of Sciences","address":{"name":"Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Xianghan Xu","affiliation":[{"name":"Princeton University","address":{"name":"Department of Chemistry, Princeton University, Princeton, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Toshihiro Aoki","url":"http://orcid.org/0000-0001-6620-9390","affiliation":[{"name":"University of California","address":{"name":"Irvine Materials Research Institute (IMRI), University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Paul Zeiger","url":"http://orcid.org/0000-0002-7018-244X","affiliation":[{"name":"Uppsala University","address":{"name":"Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Xuetao Zhu","url":"http://orcid.org/0000-0002-7563-1603","affiliation":[{"name":"Chinese Academy of Sciences","address":{"name":"Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Weihua Wang","url":"http://orcid.org/0000-0002-2269-1952","affiliation":[{"name":"Chinese Academy of Sciences","address":{"name":"Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Jiandong Guo","url":"http://orcid.org/0000-0002-7893-022X","affiliation":[{"name":"Chinese Academy of Sciences","address":{"name":"Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Ruqian Wu","url":"http://orcid.org/0000-0002-6156-7874","affiliation":[{"name":"University of California","address":{"name":"Department of Physics and Astronomy, University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Xiaoqing Pan","url":"http://orcid.org/0000-0002-0965-8568","affiliation":[{"name":"University of California","address":{"name":"Department of Materials Science and Engineering, University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"},{"name":"University of California","address":{"name":"Irvine Materials Research Institute (IMRI), University of California, Irvine, USA","@type":"PostalAddress"},"@type":"Organization"}],"email":"xiaoqinp@uci.edu","@type":"Person"}],"isAccessibleForFree":false,"hasPart":{"isAccessibleForFree":false,"cssSelector":".main-content","@type":"WebPageElement"},"@type":"ScholarlyArticle"},"@context":"https://schema.org","@type":"WebPage"}</script> <link rel="canonical" href="https://www.nature.com/articles/s41586-024-08118-0"> <meta name="journal_id" content="41586"/> <meta name="dc.title" content="Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface"/> <meta name="dc.source" content="Nature 2024 635:8038"/> <meta name="dc.format" content="text/html"/> <meta name="dc.publisher" content="Nature Publishing Group"/> <meta name="dc.date" content="2024-10-30"/> <meta name="dc.type" content="OriginalPaper"/> <meta name="dc.language" content="En"/> <meta name="dc.copyright" content="2024 The Author(s), under exclusive licence to Springer Nature Limited"/> <meta name="dc.rights" content="2024 The Author(s), under exclusive licence to Springer Nature Limited"/> <meta name="dc.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="dc.description" content="The remarkable increase in superconducting transition temperature (Tc) observed at the interface of one-unit-cell FeSe films on SrTiO3 substrates (1 uc FeSe/STO)1 has attracted considerable research into the interface effects2–6. Although this high Tc is thought to be associated with electron–phonon coupling (EPC)2, the microscopic coupling mechanism and its role in the superconductivity remain elusive. Here we use momentum-selective high-resolution electron energy loss spectroscopy to atomically resolve the phonons at the FeSe/STO interface. We uncover new optical phonon modes, coupling strongly with electrons, in the energy range of 75–99 meV. These modes are characterized by out-of-plane vibrations of oxygen atoms in the interfacial double-TiOx layer and the apical oxygens in STO. Our results also demonstrate that the EPC strength and superconducting gap of 1 uc FeSe/STO are closely related to the interlayer spacing between FeSe and the TiOx terminated STO. These findings shed light on the microscopic origin of the interfacial EPC and provide insights into achieving large and consistent Tc enhancement in FeSe/STO and potentially other superconducting systems. Phonons at the FeSe/STO interface are imaged at atomic scale, uncovering new optical phonon modes that couple strongly with electrons, shedding light on the microscopic origin of the interfacial EPC and providing insights into achieving superconducting transition temperature enhancement."/> <meta name="prism.issn" content="1476-4687"/> <meta name="prism.publicationName" content="Nature"/> <meta name="prism.publicationDate" content="2024-10-30"/> <meta name="prism.volume" content="635"/> <meta name="prism.number" content="8038"/> <meta name="prism.section" content="OriginalPaper"/> <meta name="prism.startingPage" content="332"/> <meta name="prism.endingPage" content="336"/> <meta name="prism.copyright" content="2024 The Author(s), under exclusive licence to Springer Nature Limited"/> <meta name="prism.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="prism.url" content="https://www.nature.com/articles/s41586-024-08118-0"/> <meta name="prism.doi" content="doi:10.1038/s41586-024-08118-0"/> <meta name="citation_pdf_url" content="https://www.nature.com/articles/s41586-024-08118-0.pdf"/> <meta name="citation_fulltext_html_url" content="https://www.nature.com/articles/s41586-024-08118-0"/> <meta name="citation_journal_title" content="Nature"/> <meta name="citation_journal_abbrev" content="Nature"/> <meta name="citation_publisher" content="Nature Publishing Group"/> <meta name="citation_issn" content="1476-4687"/> <meta name="citation_title" content="Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface"/> <meta name="citation_volume" content="635"/> <meta name="citation_issue" content="8038"/> <meta name="citation_publication_date" content="2024/11"/> <meta name="citation_online_date" content="2024/10/30"/> <meta name="citation_firstpage" content="332"/> <meta name="citation_lastpage" content="336"/> <meta name="citation_article_type" content="Article"/> <meta name="citation_language" content="en"/> <meta name="dc.identifier" content="doi:10.1038/s41586-024-08118-0"/> <meta name="DOI" content="10.1038/s41586-024-08118-0"/> <meta name="size" content="169109"/> <meta name="citation_doi" content="10.1038/s41586-024-08118-0"/> <meta name="citation_springer_api_url" content="http://api.springer.com/xmldata/jats?q=doi:10.1038/s41586-024-08118-0&api_key="/> <meta name="description" content="The remarkable increase in superconducting transition temperature (Tc) observed at the interface of one-unit-cell FeSe films on SrTiO3 substrates (1 uc FeSe/STO)1 has attracted considerable research into the interface effects2–6. Although this high Tc is thought to be associated with electron–phonon coupling (EPC)2, the microscopic coupling mechanism and its role in the superconductivity remain elusive. Here we use momentum-selective high-resolution electron energy loss spectroscopy to atomically resolve the phonons at the FeSe/STO interface. We uncover new optical phonon modes, coupling strongly with electrons, in the energy range of 75–99 meV. These modes are characterized by out-of-plane vibrations of oxygen atoms in the interfacial double-TiOx layer and the apical oxygens in STO. Our results also demonstrate that the EPC strength and superconducting gap of 1 uc FeSe/STO are closely related to the interlayer spacing between FeSe and the TiOx terminated STO. These findings shed light on the microscopic origin of the interfacial EPC and provide insights into achieving large and consistent Tc enhancement in FeSe/STO and potentially other superconducting systems. Phonons at the FeSe/STO interface are imaged at atomic scale, uncovering new optical phonon modes that couple strongly with electrons, shedding light on the microscopic origin of the interfacial EPC and providing insights into achieving superconducting transition temperature enhancement."/> <meta name="dc.creator" content="Yang, Hongbin"/> <meta name="dc.creator" content="Zhou, Yinong"/> <meta name="dc.creator" content="Miao, Guangyao"/> <meta name="dc.creator" content="Rusz, Ján"/> <meta name="dc.creator" content="Yan, Xingxu"/> <meta name="dc.creator" content="Guzman, Francisco"/> <meta name="dc.creator" content="Xu, Xiaofeng"/> <meta name="dc.creator" content="Xu, Xianghan"/> <meta name="dc.creator" content="Aoki, Toshihiro"/> <meta name="dc.creator" content="Zeiger, Paul"/> <meta name="dc.creator" content="Zhu, Xuetao"/> <meta name="dc.creator" content="Wang, Weihua"/> <meta name="dc.creator" content="Guo, Jiandong"/> <meta name="dc.creator" content="Wu, Ruqian"/> <meta name="dc.creator" content="Pan, Xiaoqing"/> <meta name="dc.subject" content="Superconducting properties and materials"/> <meta name="dc.subject" content="Surfaces, interfaces and thin films"/> <meta name="citation_reference" content="Wang, Q. Y. et al. Interface-induced high-temperature superconductivity in single unit-cell FeSe films on SrTiO3. Chin. Phys. Lett. 29, 037402 (2012)."/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3; citation_author=JJ Lee; citation_volume=515; citation_publication_date=2014; citation_pages=245-248; citation_id=CR2"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Tuning the band structure and superconductivity in single-layer FeSe by interface engineering; citation_author=R Peng; citation_volume=5; citation_publication_date=2014; citation_id=CR3"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Dichotomy of the electronic structure and superconductivity between single-layer and double-layer FeSe/SrTiO3 films; citation_author=X Liu; citation_volume=5; citation_publication_date=2014; citation_id=CR4"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Ubiquitous strong electron-phonon coupling at the interface of FeSe/SrTiO3; citation_author=C Zhang; citation_volume=8; citation_publication_date=2017; citation_id=CR5"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Atomic-scale observation of localized phonons at FeSe/SrTiO3 interface; citation_author=R Shi; citation_volume=15; citation_publication_date=2024; citation_id=CR6"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Electronic origin of high-temperature superconductivity in single-layer FeSe superconductor; citation_author=D Liu; citation_volume=3; citation_publication_date=2012; citation_id=CR7"/> <meta name="citation_reference" content="Zhang, W. et al. Interface charge doping effects on superconductivity of single-unit-cell FeSe films on SrTiO3 substrates. Phys. Rev. B 89, 060506(R) (2014)."/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Origin of charge transfer and enhanced electron-phonon coupling in single unit-cell FeSe films on SrTiO3; citation_author=H Zhang; citation_volume=8; citation_publication_date=2017; citation_id=CR9"/> <meta name="citation_reference" content="citation_journal_title=Nat. Mater.; citation_title=High-temperature superconductivity in potassium-coated multilayer FeSe thin films; citation_author=Y Miyata, K Nakayama, K Sugawara, T Sato, T Takahashi; citation_volume=14; citation_publication_date=2015; citation_pages=775-779; citation_id=CR10"/> <meta name="citation_reference" content="Lei, B. et al. Evolution of high-temperature superconductivity from a low-Tc phase tuned by carrier concentration in FeSe thin flakes. Phys. Rev. Lett. 116, 077002 (2016)."/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Anomalous correlation effects and unique phase diagram of electron-doped FeSe revealed by photoemission spectroscopy; citation_author=CHP Wen; citation_volume=7; citation_publication_date=2016; citation_id=CR12"/> <meta name="citation_reference" content="Zhang, W. H. et al. Direct observation of high-temperature superconductivity in one-unit-cell FeSe films. Chin. Phys. Lett. 31, 017401 (2014)."/> <meta name="citation_reference" content="citation_journal_title=Nat. Mater.; citation_title=Superconductivity above 100 K in single-layer FeSe films on doped SrTiO3; citation_author=JF Ge; citation_volume=14; citation_publication_date=2015; citation_pages=285-289; citation_id=CR14"/> <meta name="citation_reference" content="citation_journal_title=Nat. Mater.; citation_title=Phase diagram and electronic indication of high-temperature superconductivity at 65 K in single-layer FeSe films; citation_author=S He; citation_volume=12; citation_publication_date=2013; citation_pages=605-610; citation_id=CR15"/> <meta name="citation_reference" content="citation_journal_title=Nat. Mater.; citation_title=Interface-induced superconductivity and strain-dependent spin density waves in FeSe/SrTiO3 thin films; citation_author=S Tan; citation_volume=12; citation_publication_date=2013; citation_pages=634-640; citation_id=CR16"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Spectroscopic evidence of superconductivity pairing at 83 K in single-layer FeSe/SrTiO3 films; citation_author=Y Xu; citation_volume=12; citation_publication_date=2021; citation_id=CR17"/> <meta name="citation_reference" content="citation_journal_title=Nat. Phys.; citation_title=Plain s-wave superconductivity in single-layer FeSe on SrTiO3 probed by scanning tunnelling microscopy; citation_author=Q Fan; citation_volume=11; citation_publication_date=2015; citation_pages=946-952; citation_id=CR18"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Evidence of cooperative effect on the enhanced superconducting transition temperature at the FeSe/SrTiO3 interface; citation_author=Q Song; citation_volume=10; citation_publication_date=2019; citation_id=CR19"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=High-order replica bands in monolayer FeSe/SrTiO3 revealed by polarization-dependent photoemission spectroscopy; citation_author=C Liu; citation_volume=12; citation_publication_date=2021; citation_id=CR20"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Interfacial electron-phonon coupling constants extracted from intrinsic replica bands in monolayer FeSe/SrTiO3; citation_author=BD Faeth; citation_volume=127; citation_publication_date=2021; citation_pages=016803; citation_id=CR21"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev.; citation_title=Optical modes of vibration in an ionic crystal slab; citation_author=R Fuchs, KL Kliewer; citation_volume=140; citation_publication_date=1965; citation_pages=A2076; citation_id=CR22"/> <meta name="citation_reference" content="Zhang, S. et al. Role of SrTiO3 phonon penetrating into thin FeSe films in the enhancement of superconductivity. Phys. Rev. B 94, (2016)."/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Enhanced superconducting state in FeSe/SrTiO3 by a dynamic interfacial polaron mechanism; citation_author=S Zhang; citation_volume=122; citation_publication_date=2019; citation_pages=066802; citation_id=CR24"/> <meta name="citation_reference" content="Li, F. et al. Atomically resolved FeSe/SrTiO3(001) interface structure by scanning transmission electron microscopy. 2D Mater. 3, 024002 (2016)."/> <meta name="citation_reference" content="Sims, H. et al. Intrinsic interfacial van der Waals monolayers and their effect on the high-temperature superconductor FeSe/SrTiO3. Phys. Rev. B 100, 144103 (2019)."/> <meta name="citation_reference" content="citation_journal_title=Sci. Adv.; citation_title=Picoscale structural insight into superconductivity of monolayer FeSe/SrTiO3; citation_author=R Peng; citation_volume=6; citation_publication_date=2020; citation_id=CR27"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Vibrational spectroscopy in the electron microscope; citation_author=OL Krivanek; citation_volume=514; citation_publication_date=2014; citation_pages=209-212; citation_id=CR28"/> <meta name="citation_reference" content="citation_journal_title=Nat. Phys.; citation_title=Vibrational spectroscopy at atomic resolution with electron impact scattering; citation_author=K Venkatraman, BDA Levin, K March, P Rez, PA Crozier; citation_volume=15; citation_publication_date=2019; citation_pages=1237-1241; citation_id=CR29"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Single-atom vibrational spectroscopy in the scanning transmission electron microscope; citation_author=FS Hage, G Radtke, DM Kepaptsoglou, M Lazzeri, QM Ramasse; citation_volume=367; citation_publication_date=2020; citation_pages=1124-1127; citation_id=CR30"/> <meta name="citation_reference" content="citation_journal_title=Nat. Mater.; citation_title=Single-atom vibrational spectroscopy with chemical-bonding sensitivity; citation_author=M Xu; citation_volume=22; citation_publication_date=2023; citation_pages=612-618; citation_id=CR31"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Single-defect phonons imaged by electron microscopy; citation_author=X Yan; citation_volume=589; citation_publication_date=2021; citation_pages=65-69; citation_id=CR32"/> <meta name="citation_reference" content="Yan, X. et al. Real-space visualization of frequency-dependent anisotropy of atomic vibrations. Preprint at https://arxiv.org/abs/2312.01694 (2023)."/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=The structure and chemistry of the TiO2-rich surface of SrTiO3 (001); citation_author=N Erdman; citation_volume=419; citation_publication_date=2002; citation_pages=55-58; citation_id=CR34"/> <meta name="citation_reference" content="citation_journal_title=Surf. Sci.; citation_title=Surface structure of SrTiO3(100); citation_author=T Kubo, H Nozoye; citation_volume=542; citation_publication_date=2003; citation_pages=177-191; citation_id=CR35"/> <meta name="citation_reference" content="citation_journal_title=Surf. Sci. Rep.; citation_title=Pauling’s rules for oxide surfaces; citation_author=TK Andersen, DD Fong, LD Marks; citation_volume=73; citation_publication_date=2018; citation_pages=213-232; citation_id=CR36"/> <meta name="citation_reference" content="Zou, K. et al. Role of double TiO2 layers at the interface of FeSe/SrTiO3 superconductors. Phys. Rev. B 93, 180506 (2016)."/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Interfacial superconductivity in FeSe ultrathin films on SrTiO3 probed by in situ independently driven four-point-probe measurements; citation_author=AK Pedersen; citation_volume=124; citation_publication_date=2020; citation_pages=227002; citation_id=CR38"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Phonon spectroscopy at atomic resolution; citation_author=FS Hage, DM Kepaptsoglou, QM Ramasse, LJ Allen; citation_volume=122; citation_publication_date=2019; citation_pages=016103; citation_id=CR39"/> <meta name="citation_reference" content="Yang, H. et al. Inelastic electron scattering at large angles: the phonon polariton contribution. Preprint at https://arxiv.org/abs/2401.04719 (2024)."/> <meta name="citation_reference" content="Nicholls, R. J. et al. Theory of momentum-resolved phonon spectroscopy in the electron microscope. Phys. Rev. B 99, 094105 (2019)."/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Efficient and versatile model for vibrational STEM-EELS; citation_author=PM Zeiger, J Rusz; citation_volume=124; citation_publication_date=2020; citation_pages=025501; citation_id=CR42"/> <meta name="citation_reference" content="Rademaker, L., Wang, Y., Berlijn, T. & Johnston, S. Enhanced superconductivity due to forward scattering in FeSe thin films on SrTiO3 substrates. New J. Phys. 18, 022001 (2016)."/> <meta name="citation_reference" content="Rademaker, L., Alvarez-Suchini, G., Nakatsukasa, K., Wang, Y. & Johnston, S. Enhanced superconductivity in FeSe/SrTiO3 from the combination of forward scattering phonons and spin fluctuations. Phys. Rev. B 103, 144504 (2021)."/> <meta name="citation_reference" content="citation_journal_title=Sci. Adv.; citation_title=Direct imaging of electron transfer and its influence on superconducting pairing at FeSe/SrTiO3 interface; citation_author=W Zhao; citation_volume=4; citation_publication_date=2018; citation_pages=eaao2682; citation_id=CR45"/> <meta name="citation_reference" content="Lee, D. H. What makes the Tc of FeSe/SrTiO3 so high? Chin. Phys. B 24, 117405 (2015)."/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Preformed Cooper pairs in layered FeSe-based superconductors; citation_author=BL Kang; citation_volume=125; citation_publication_date=2020; citation_pages=97003; citation_id=CR47"/> <meta name="citation_reference" content="Faeth, B. D. et al. Incoherent Cooper pairing and pseudogap behavior in single-layer FeSe/SrTiO3. Phys. Rev. X 11, 021054 (2021)."/> <meta name="citation_reference" content="Ide, K., Tanaka, T., Pedersen, A., Ichinokura, S. & Hirahara, T. Temperature dependence of the superconducting gap of single-layer FeSe/SrTiO3: direct comparison between transport and spectroscopic measurements. Phys. Rev. Mater. 6, 124801 (2022)."/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Superconducting transition of FeSe/SrTiO3 induced by adsorption of semiconducting organic molecules; citation_author=J Guan; citation_volume=95; citation_publication_date=2017; citation_pages=205405; citation_id=CR50"/> <meta name="citation_reference" content="citation_journal_title=Nat. Commun.; citation_title=Four-dimensional vibrational spectroscopy for nanoscale mapping of phonon dispersion in BN nanotubes; citation_author=R Qi; citation_volume=12; citation_publication_date=2021; citation_id=CR51"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Emergent interface vibrational structure of oxide superlattices; citation_author=ER Hoglund; citation_volume=601; citation_publication_date=2022; citation_pages=556-561; citation_id=CR52"/> <meta name="citation_reference" content="citation_journal_title=Microsc. Microanal.; citation_title=Interpretation of meV resolution phonon EELS data; citation_author=PE Batson, MJ Lagos; citation_volume=24; citation_publication_date=2018; citation_pages=412-413; citation_id=CR53"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Projector augmented-+rave method; citation_author=PE Blochl; citation_volume=50; citation_publication_date=1994; citation_pages=24; citation_id=CR54"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=From ultrasoft pseudopotentials to the projector augmented-wave method; citation_author=G Kresse, D Joubert; citation_volume=59; citation_publication_date=1999; citation_pages=1758-1775; citation_id=CR55"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Self-interaction correction to density-functional approximations for many-electron systems; citation_author=JP Perdew, A Zunger; citation_volume=23; citation_publication_date=1981; citation_pages=5048-5079; citation_id=CR56"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set; citation_author=G Kresse, J Furthmüller; citation_volume=54; citation_publication_date=1996; citation_pages=11169-11186; citation_id=CR57"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=High-precision sampling for Brillouin-zone integration in metals; citation_author=M Methfessel, AT Paxton; citation_volume=40; citation_publication_date=1989; citation_pages=3616-3621; citation_id=CR58"/> <meta name="citation_reference" content="citation_journal_title=Rev. Mod. Phys.; citation_title=Phonons and related crystal properties from density-functional perturbation theory; citation_author=S Baroni, S Gironcoli, AD Corso, P Giannozzi; citation_volume=73; citation_publication_date=2001; citation_pages=515-562; citation_id=CR59"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=First-principles responses of solids to atomic displacements and homogeneous electric fields: Implementation of a conjugate-gradient algorithm; citation_author=X Gonze; citation_volume=55; citation_publication_date=1997; citation_pages=10337-10354; citation_id=CR60"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory; citation_author=X Gonze, C Lee; citation_volume=55; citation_publication_date=1997; citation_pages=10355-10368; citation_id=CR61"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Band theory and Mott insulators: Hubbard U instead of Stoner I; citation_author=VI Anisimov, J Zaanen, OK Andersen; citation_volume=44; citation_publication_date=1991; citation_pages=943-954; citation_id=CR62"/> <meta name="citation_reference" content="citation_journal_title=J. Phys. Condens. Matter; citation_title=QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials; citation_author=P Giannozzi; citation_volume=21; citation_publication_date=2009; citation_pages=395502; citation_id=CR63"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Generalized gradient approximation made simple; citation_author=JP Perdew, K Burke, M Ernzerhof; citation_volume=77; citation_publication_date=1996; citation_pages=3865-3868; citation_id=CR64"/> <meta name="citation_reference" content="citation_journal_title=Phys. Chem. Miner.; citation_title=Crystal chemistry of perovskite-type compounds in the tausonite-loparite series, (Sr1−2xNaxLax)TiO3; citation_author=RH Mitchell, AR Chakhmouradian, PM Woodward; citation_volume=27; citation_publication_date=2000; citation_pages=583-589; citation_id=CR65"/> <meta name="citation_reference" content="Zeiger, P. M. & Rusz, J. Frequency-resolved frozen phonon multislice method and its application to vibrational electron energy loss spectroscopy using parallel illumination. Phys. Rev. B 104, 104301 (2021)."/> <meta name="citation_reference" content="citation_journal_title=Ultramicroscopy; citation_title=A comparison of molecular dynamics potentials used to account for thermal diffuse scattering in multislice simulations; citation_author=X Chen, DS Kim, JM LeBeau; citation_volume=244; citation_publication_date=2023; citation_pages=113644; citation_id=CR67"/> <meta name="citation_reference" content="citation_journal_title=Ultramicroscopy; citation_title=Dr. Probe: a software for high-resolution STEM image simulation; citation_author=J Barthel; citation_volume=193; citation_publication_date=2018; citation_pages=1-11; citation_id=CR68"/> <meta name="citation_author" content="Yang, Hongbin"/> <meta name="citation_author_institution" content="Department of Materials Science and Engineering, University of California, Irvine, USA"/> <meta name="citation_author" content="Zhou, Yinong"/> <meta name="citation_author_institution" content="Department of Physics and Astronomy, University of California, Irvine, USA"/> <meta name="citation_author" content="Miao, Guangyao"/> <meta name="citation_author_institution" content="Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China"/> <meta name="citation_author" content="Rusz, Ján"/> <meta name="citation_author_institution" content="Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden"/> <meta name="citation_author" content="Yan, Xingxu"/> <meta name="citation_author_institution" content="Department of Materials Science and Engineering, University of California, Irvine, USA"/> <meta name="citation_author" content="Guzman, Francisco"/> <meta name="citation_author_institution" content="Department of Materials Science and Engineering, University of California, Irvine, USA"/> <meta name="citation_author" content="Xu, Xiaofeng"/> <meta name="citation_author_institution" content="Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China"/> <meta name="citation_author" content="Xu, Xianghan"/> <meta name="citation_author_institution" content="Department of Chemistry, Princeton University, Princeton, USA"/> <meta name="citation_author" content="Aoki, Toshihiro"/> <meta name="citation_author_institution" content="Irvine Materials Research Institute (IMRI), University of California, Irvine, USA"/> <meta name="citation_author" content="Zeiger, Paul"/> <meta name="citation_author_institution" content="Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden"/> <meta name="citation_author" content="Zhu, Xuetao"/> <meta name="citation_author_institution" content="Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China"/> <meta name="citation_author" content="Wang, Weihua"/> <meta name="citation_author_institution" content="Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China"/> <meta name="citation_author" content="Guo, Jiandong"/> <meta name="citation_author_institution" content="Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China"/> <meta name="citation_author" content="Wu, Ruqian"/> <meta name="citation_author_institution" content="Department of Physics and Astronomy, University of California, Irvine, USA"/> <meta name="citation_author" content="Pan, Xiaoqing"/> <meta name="citation_author_institution" content="Department of Materials Science and Engineering, University of California, Irvine, USA"/> <meta name="citation_author_institution" content="Irvine Materials Research Institute (IMRI), University of California, Irvine, USA"/> <meta name="access_endpoint" content="https://www.nature.com/platform/readcube-access"/> <meta name="twitter:site" content="@nature"/> <meta name="twitter:card" content="summary_large_image"/> <meta name="twitter:image:alt" content="Content cover image"/> <meta name="twitter:title" content="Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface"/> <meta name="twitter:description" content="Nature - Phonons at the FeSe/STO interface are imaged at atomic scale, uncovering new optical phonon modes that couple strongly with electrons, shedding light on the microscopic origin of the..."/> <meta name="twitter:image" content="https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig1_HTML.png"/> <meta property="og:url" content="https://www.nature.com/articles/s41586-024-08118-0"/> <meta property="og:type" content="article"/> <meta property="og:site_name" content="Nature"/> <meta property="og:title" content="Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface - Nature"/> <meta property="og:description" content="Phonons at the FeSe/STO interface are imaged at atomic scale, uncovering new optical phonon modes that couple strongly with electrons, shedding light on the microscopic origin of the interfacial EPC and providing insights into achieving superconducting transition temperature enhancement."/> <meta property="og:image" content="https://media.springernature.com/m685/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig1_HTML.png"/> <script> window.eligibleForRa21 = 'true'; </script> </head> <body class="article-page"> <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-MRVXSHQ" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript> <div class="position-relative cleared z-index-50 background-white" data-test="top-containers"> <a class="c-skip-link" href="#content">Skip to main content</a> <div class="c-grade-c-banner u-hide"> <div class="c-grade-c-banner__container"> <p>Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.</p> </div> </div> <div class="u-hide u-show-following-ad"></div> <aside class="c-ad c-ad--728x90"> <div class="c-ad__inner" data-container-type="banner-advert"> <p class="c-ad__label">Advertisement</p> <div id="div-gpt-ad-top-1" class="div-gpt-ad advert leaderboard js-ad text-center hide-print grade-c-hide" data-ad-type="top" data-test="top-ad" data-pa11y-ignore data-gpt data-gpt-unitpath="/285/nature.com/article" data-gpt-sizes="728x90" data-gpt-targeting="type=article;pos=top;artid=s41586-024-08118-0;doi=10.1038/s41586-024-08118-0;subjmeta=1003,119,301,544,639,766;kwrd=Superconducting+properties+and+materials,Surfaces%2C+interfaces+and+thin+films"> <noscript> <a href="//pubads.g.doubleclick.net/gampad/jump?iu=/285/nature.com/article&sz=728x90&c=164838367&t=pos%3Dtop%26type%3Darticle%26artid%3Ds41586-024-08118-0%26doi%3D10.1038/s41586-024-08118-0%26subjmeta%3D1003,119,301,544,639,766%26kwrd%3DSuperconducting+properties+and+materials,Surfaces%2C+interfaces+and+thin+films"> <img data-test="gpt-advert-fallback-img" src="//pubads.g.doubleclick.net/gampad/ad?iu=/285/nature.com/article&sz=728x90&c=164838367&t=pos%3Dtop%26type%3Darticle%26artid%3Ds41586-024-08118-0%26doi%3D10.1038/s41586-024-08118-0%26subjmeta%3D1003,119,301,544,639,766%26kwrd%3DSuperconducting+properties+and+materials,Surfaces%2C+interfaces+and+thin+films" alt="Advertisement" width="728" height="90"></a> </noscript> </div> </div> </aside> <header class="c-header" id="header" data-header data-track-component="nature-150-split-header" style="border-color:#000"> <div class="c-header__row"> <div class="c-header__container"> <div class="c-header__split"> <div class="c-header__logo-container"> <a href="/" data-track="click" data-track-action="home" data-track-label="image"> <picture class="c-header__logo"> <source srcset="https://media.springernature.com/full/nature-cms/uploads/product/nature/header-86f1267ea01eccd46b530284be10585e.svg" media="(min-width: 875px)"> <img src="https://media.springernature.com/full/nature-cms/uploads/product/nature/header-86f1267ea01eccd46b530284be10585e.svg" height="32" alt="Nature"> </picture> </a> </div> <ul class="c-header__menu c-header__menu--global"> <li class="c-header__item c-header__item--padding c-header__item--hide-md-max"> <a class="c-header__link" href="https://www.nature.com/siteindex" data-test="siteindex-link" data-track="click" data-track-action="open nature research index" data-track-label="link"> <span>View all journals</span> </a> </li> <li class="c-header__item c-header__item--padding c-header__item--pipe"> <a class="c-header__link c-header__link--search" href="#search-menu" data-header-expander data-test="search-link" data-track="click" data-track-action="open search tray" data-track-label="button"> <svg role="img" aria-hidden="true" focusable="false" height="22" width="22" viewBox="0 0 18 18" xmlns="http://www.w3.org/2000/svg"><path d="M16.48 15.455c.283.282.29.749.007 1.032a.738.738 0 01-1.032-.007l-3.045-3.044a7 7 0 111.026-1.026zM8 14A6 6 0 108 2a6 6 0 000 12z"/></svg><span>Search</span> </a> </li> <li class="c-header__item c-header__item--padding c-header__item--snid-account-widget c-header__item--pipe"> <a class="c-header__link eds-c-header__link" id="identity-account-widget" data-track="click_login" data-track-context="header" href='https://idp.nature.com/auth/personal/springernature?redirect_uri=https://www.nature.com/articles/s41586-024-08118-0?error=cookies_not_supported&code=d3200b92-34b6-4705-8ee1-385740f0c882'><span class="eds-c-header__widget-fragment-title">Log in</span></a> </li> </ul> </div> </div> </div> <div class="c-header__row"> <div class="c-header__container" data-test="navigation-row"> <div class="c-header__split"> <ul class="c-header__menu c-header__menu--journal"> <li class="c-header__item c-header__item--dropdown-menu" data-test="explore-content-button"> <a href="#explore" class="c-header__link" data-header-expander data-test="menu-button--explore" data-track="click" data-track-action="open explore expander" data-track-label="button"> <span><span class="c-header__show-text">Explore</span> content</span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--dropdown-menu"> <a href="#about-the-journal" class="c-header__link" data-header-expander data-test="menu-button--about-the-journal" data-track="click" data-track-action="open about the journal expander" data-track-label="button"> <span>About <span class="c-header__show-text">the journal</span></span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--dropdown-menu" data-test="publish-with-us-button"> <a href="#publish-with-us" class="c-header__link c-header__link--dropdown-menu" data-header-expander data-test="menu-button--publish" data-track="click" data-track-action="open publish with us expander" data-track-label="button"> <span>Publish <span class="c-header__show-text">with us</span></span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--pipe c-header__item--hide-lg-max"> <a class="c-header__link" href="/nature/subscribe" data-track="click" data-track-action="subscribe" data-track-label="link" data-test="menu-button-subscribe"> <span>Subscribe</span> </a> </li> </ul> <ul class="c-header__menu c-header__menu--hide-lg-max"> <li class="c-header__item"> <a class="c-header__link" href="https://idp.nature.com/auth/personal/springernature?redirect_uri=https%3A%2F%2Fwww.nature.com%2Fmy-account%2Falerts%2Fsubscribe-journal%3Flist-id%3D1%26journal-link%3Dhttps%253A%252F%252Fwww.nature.com%252Fnature%252F" rel="nofollow" data-track="click" data-track-action="Sign up for alerts" data-track-label="link (desktop site header)" data-track-external> <span>Sign up for alerts</span><svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill="#222"/></svg> </a> </li> <li class="c-header__item c-header__item--pipe"> <a class="c-header__link" href="https://www.nature.com/nature.rss" data-track="click" data-track-action="rss feed" data-track-label="link"> <span>RSS feed</span> </a> </li> </ul> </div> </div> </div> </header> <nav class="u-mb-16" aria-label="breadcrumbs"> <div class="u-container"> <ol class="c-breadcrumbs" itemscope itemtype="https://schema.org/BreadcrumbList"> <li class="c-breadcrumbs__item" id="breadcrumb0" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:nature"><span itemprop="name">nature</span></a><meta itemprop="position" content="1"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb1" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/nature/articles?type=article" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:articles"><span itemprop="name">articles</span></a><meta itemprop="position" content="2"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb2" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"> <span itemprop="name">article</span><meta itemprop="position" content="3"></li> </ol> </div> </nav> </div> <div class="u-container u-mt-32 u-mb-32 u-clearfix" id="content" data-component="article-container" data-container-type="article"> <main class="c-article-main-column u-float-left js-main-column" data-track-component="article body"> <article lang="en"> <div class="c-article-header"> <header> <ul class="c-article-identifiers" data-test="article-identifier"> <li class="c-article-identifiers__item" data-test="article-category">Article</li> <li class="c-article-identifiers__item">Published: <time datetime="2024-10-30">30 October 2024</time></li> </ul> <h1 class="c-article-title" data-test="article-title" data-article-title="">Phonon modes and electron–phonon coupling at the FeSe/SrTiO<sub>3</sub> interface</h1> <ul class="c-article-author-list c-article-author-list--short" data-test="authors-list" data-component-authors-activator="authors-list"><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Hongbin-Yang-Aff1" data-author-popup="auth-Hongbin-Yang-Aff1" data-author-search="Yang, Hongbin">Hongbin Yang</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-0098-6944"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-0098-6944</a></span><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Yinong-Zhou-Aff2" data-author-popup="auth-Yinong-Zhou-Aff2" data-author-search="Zhou, Yinong">Yinong Zhou</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-4427-0032"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-4427-0032</a></span><sup class="u-js-hide"><a href="#Aff2">2</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Guangyao-Miao-Aff3" data-author-popup="auth-Guangyao-Miao-Aff3" data-author-search="Miao, Guangyao">Guangyao Miao</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0003-3776-5851"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0003-3776-5851</a></span><sup class="u-js-hide"><a href="#Aff3">3</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-J_n-Rusz-Aff4" data-author-popup="auth-J_n-Rusz-Aff4" data-author-search="Rusz, Ján">Ján Rusz</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-0074-1349"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-0074-1349</a></span><sup class="u-js-hide"><a href="#Aff4">4</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Xingxu-Yan-Aff1" data-author-popup="auth-Xingxu-Yan-Aff1" data-author-search="Yan, Xingxu">Xingxu Yan</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0001-7991-4849"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0001-7991-4849</a></span><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Francisco-Guzman-Aff1" data-author-popup="auth-Francisco-Guzman-Aff1" data-author-search="Guzman, Francisco">Francisco Guzman</a><sup class="u-js-hide"><a href="#Aff1">1</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Xiaofeng-Xu-Aff3" data-author-popup="auth-Xiaofeng-Xu-Aff3" data-author-search="Xu, Xiaofeng">Xiaofeng Xu</a><sup class="u-js-hide"><a href="#Aff3">3</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Xianghan-Xu-Aff5" data-author-popup="auth-Xianghan-Xu-Aff5" data-author-search="Xu, Xianghan">Xianghan Xu</a><sup class="u-js-hide"><a href="#Aff5">5</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Toshihiro-Aoki-Aff6" data-author-popup="auth-Toshihiro-Aoki-Aff6" data-author-search="Aoki, Toshihiro">Toshihiro Aoki</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0001-6620-9390"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0001-6620-9390</a></span><sup class="u-js-hide"><a href="#Aff6">6</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Paul-Zeiger-Aff4" data-author-popup="auth-Paul-Zeiger-Aff4" data-author-search="Zeiger, Paul">Paul Zeiger</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-7018-244X"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-7018-244X</a></span><sup class="u-js-hide"><a href="#Aff4">4</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Xuetao-Zhu-Aff3" data-author-popup="auth-Xuetao-Zhu-Aff3" data-author-search="Zhu, Xuetao">Xuetao Zhu</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-7563-1603"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-7563-1603</a></span><sup class="u-js-hide"><a href="#Aff3">3</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Weihua-Wang-Aff3" data-author-popup="auth-Weihua-Wang-Aff3" data-author-search="Wang, Weihua">Weihua Wang</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-2269-1952"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-2269-1952</a></span><sup class="u-js-hide"><a href="#Aff3">3</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Jiandong-Guo-Aff3" data-author-popup="auth-Jiandong-Guo-Aff3" data-author-search="Guo, Jiandong">Jiandong Guo</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-7893-022X"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-7893-022X</a></span><sup class="u-js-hide"><a href="#Aff3">3</a></sup>, </li><li class="c-article-author-list__item c-article-author-list__item--hide-small-screen"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Ruqian-Wu-Aff2" data-author-popup="auth-Ruqian-Wu-Aff2" data-author-search="Wu, Ruqian">Ruqian Wu</a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-6156-7874"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-6156-7874</a></span><sup class="u-js-hide"><a href="#Aff2">2</a></sup> & </li><li class="c-article-author-list__show-more" aria-label="Show all 15 authors for this article" title="Show all 15 authors for this article">…</li><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Xiaoqing-Pan-Aff1-Aff6" data-author-popup="auth-Xiaoqing-Pan-Aff1-Aff6" data-author-search="Pan, Xiaoqing" data-corresp-id="c1">Xiaoqing Pan<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-mail-medium"></use></svg></a><span class="u-js-hide"> <a class="js-orcid" href="http://orcid.org/0000-0002-0965-8568"><span class="u-visually-hidden">ORCID: </span>orcid.org/0000-0002-0965-8568</a></span><sup class="u-js-hide"><a href="#Aff1">1</a>,<a href="#Aff6">6</a></sup> </li></ul><button aria-expanded="false" class="c-article-author-list__button"><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-down-medium"></use></svg><span>Show authors</span></button> <p class="c-article-info-details" data-container-section="info"> <a data-test="journal-link" href="/" data-track="click" data-track-action="journal homepage" data-track-category="article body" data-track-label="link"><i data-test="journal-title">Nature</i></a> <b data-test="journal-volume"><span class="u-visually-hidden">volume</span> 635</b>, <span class="u-visually-hidden">pages </span>332–336 (<span data-test="article-publication-year">2024</span>)<a href="#citeas" class="c-article-info-details__cite-as u-hide-print" data-track="click" data-track-action="cite this article" data-track-label="link">Cite this article</a> </p> <div class="c-article-metrics-bar__wrapper u-clear-both"> <ul class="c-article-metrics-bar u-list-reset"> <li class=" c-article-metrics-bar__item" data-test="access-count"> <p class="c-article-metrics-bar__count">8482 <span class="c-article-metrics-bar__label">Accesses</span></p> </li> <li class="c-article-metrics-bar__item" data-test="altmetric-score"> <p class="c-article-metrics-bar__count">67 <span class="c-article-metrics-bar__label">Altmetric</span></p> </li> <li class="c-article-metrics-bar__item"> <p class="c-article-metrics-bar__details"><a href="/articles/s41586-024-08118-0/metrics" data-track="click" data-track-action="view metrics" data-track-label="link" rel="nofollow">Metrics <span class="u-visually-hidden">details</span></a></p> </li> </ul> </div> </header> <div class="u-js-hide" data-component="article-subject-links"> <h3 class="c-article__sub-heading">Subjects</h3> <ul class="c-article-subject-list"> <li class="c-article-subject-list__subject"><a href="/subjects/superconducting-properties-and-materials" data-track="click" data-track-action="view subject" data-track-label="link">Superconducting properties and materials</a></li><li class="c-article-subject-list__subject"><a href="/subjects/surfaces-interfaces-and-thin-films" data-track="click" data-track-action="view subject" data-track-label="link">Surfaces, interfaces and thin films</a></li> </ul> </div> </div> <div class="c-article-body"> <section aria-labelledby="Abs1" data-title="Abstract" lang="en"><div class="c-article-section" id="Abs1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Abs1">Abstract</h2><div class="c-article-section__content" id="Abs1-content"><p>The remarkable increase in superconducting transition temperature (<i>T</i><sub>c</sub>) observed at the interface of one-unit-cell FeSe films on SrTiO<sub>3</sub> substrates (1 uc FeSe/STO)<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 1" title="Wang, Q. Y. et al. Interface-induced high-temperature superconductivity in single unit-cell FeSe films on SrTiO3. Chin. Phys. Lett. 29, 037402 (2012)." href="/articles/s41586-024-08118-0#ref-CR1" id="ref-link-section-d2010098e572">1</a></sup> has attracted considerable research into the interface effects<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" title="Lee, J. J. et al. Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3. Nature 515, 245–248 (2014)." href="#ref-CR2" id="ref-link-section-d2010098e576">2</a>,<a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" title="Peng, R. et al. Tuning the band structure and superconductivity in single-layer FeSe by interface engineering. Nat. Commun. 5, 5044 (2014)." href="#ref-CR3" id="ref-link-section-d2010098e576_1">3</a>,<a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" title="Liu, X. et al. Dichotomy of the electronic structure and superconductivity between single-layer and double-layer FeSe/SrTiO3 films. Nat. Commun. 5, 5047 (2014)." href="#ref-CR4" id="ref-link-section-d2010098e576_2">4</a>,<a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" title="Zhang, C. et al. Ubiquitous strong electron-phonon coupling at the interface of FeSe/SrTiO3. Nat. Commun. 8, 14468 (2017)." href="#ref-CR5" id="ref-link-section-d2010098e576_3">5</a>,<a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 6" title="Shi, R. et al. Atomic-scale observation of localized phonons at FeSe/SrTiO3 interface. Nat. Commun. 15, 3418 (2024)." href="/articles/s41586-024-08118-0#ref-CR6" id="ref-link-section-d2010098e579">6</a></sup>. Although this high <i>T</i><sub>c</sub> is thought to be associated with electron–phonon coupling (EPC)<sup><a data-track="click" data-track-action="reference anchor" data-track-label="link" data-test="citation-ref" aria-label="Reference 2" title="Lee, J. J. et al. Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3. Nature 515, 245–248 (2014)." href="/articles/s41586-024-08118-0#ref-CR2" id="ref-link-section-d2010098e588">2</a></sup>, the microscopic coupling mechanism and its role in the superconductivity remain elusive. Here we use momentum-selective high-resolution electron energy loss spectroscopy to atomically resolve the phonons at the FeSe/STO interface. We uncover new optical phonon modes, coupling strongly with electrons, in the energy range of 75–99 meV. These modes are characterized by out-of-plane vibrations of oxygen atoms in the interfacial double-TiO<sub><i>x</i></sub> layer and the apical oxygens in STO. Our results also demonstrate that the EPC strength and superconducting gap of 1 uc FeSe/STO are closely related to the interlayer spacing between FeSe and the TiO<sub><i>x</i></sub> terminated STO. These findings shed light on the microscopic origin of the interfacial EPC and provide insights into achieving large and consistent <i>T</i><sub>c</sub> enhancement in FeSe/STO and potentially other superconducting systems.</p></div></div></section> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-buy-button"> <a href="#access-options" class="c-article__button c-article__button--inverted" data-test="ra21"> <span>Buy or subscribe</span> </a> </div> </div> </noscript> <div class="js-context-bar-sticky-point-mobile" data-track-context="article body"> </div> <div class="c-article-access-provider u-mb-32 u-mt-0"> <p class="c-article-access-provider__text u-sans-serif">This is a preview of subscription content, <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" data-track="click_institution_login" data-track-context="article body link" data-track-action="institution access preview subscription" data-track-label="link">access via your institution</a></p> </div> <h2 class="c-article-section__title u-h2 u-mb-24" id="access-options">Access options</h2> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> </div> </noscript> <div class="c-nature-box c-nature-box--side u-display-none u-hide-print" aria-hidden="true" data-component="entitlement-box" id=entitlement-box-main-column-unentitled data-force-hide-buy-button="true" data-unsubscribe-media-query-change="true" > <p class="c-nature-box__text js-text u-display-none" aria-hidden="true"></p> <div class="js-access-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button" aria-hidden="true" data-test="ra21" data-track="click_institution_login" data-track-context="article body button" data-track-action="institution access above buybox" data-track-label="button"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use xlink:href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-change-institution-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="change institution above buybox" data-track-label="button"> <span class="c-article__button-text">Change institution</span> </a> </div> <div class="js-buy-button u-display-none"> <a href="#access-options" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="buy or subscribe" data-track-label="button"> <span>Buy or subscribe</span> </a> </div> </div> <div class="LiveAreaSection"><style type="text/css">/* style specs start */ /* style specs end */</style><section class="BuyBoxSection"><div class="subscribe-buybox-nature-plus"> <div class="box-inner"> <p class="title-buybox"> Access Nature and 54 other Nature Portfolio journals </p> <p class="access-buybox"> Get Nature+, our best-value online-access subscription </p> <div> <p class="price-buybox" id="nature-plus-subscription-price"> <span class="price-value">24,99 €<span class="price-per-period" style="font-size: 0.9rem"> / 30 days</span></span> </p> <p class="issue-buybox">cancel any time</p> </div> <div class="button-container"> <a href="https://shop.nature.com/products/plus" class="Button-505204839" data-track="click" data-track-action="nature+" data-track-label="link" data-track-category="article body" ><span class="ButtonLabel-3869432492">Learn more</span></a > </div> </div> </div><div class="subscribe-buybox"> <div class="box-inner"> <p class="title-buybox">Subscribe to this journal</p> <p class="access-buybox"> Receive 51 print issues and online access </p> <div> <p class="price-buybox" id="subscription-price">185,98 € per year</p> <p class="issue-buybox">only 3,65 € per issue</p> </div> <div class="button-container"> <a href="/nature/subscribe" class="Button-1078489254" data-track="click" data-track-action="subscribe" data-track-label="link" data-track-category="article body" ><span class="ButtonLabel-3296148077">Learn more</span></a > </div> </div> </div><div class="readcube-buybox"> <div class="box-inner"> <p class="title-readcube">Buy this article</p> <ul> <li class="link-usp"><span>Purchase on SpringerLink</span></li> <li class="link-usp"> <span>Instant access to full article PDF</span> </li> </ul> <div class="button-container"> <a href="//link.springer.com/article/10.1038/s41586-024-08118-0?utm_source=nature&utm_medium=referral&utm_campaign=buyArticle" class="btn-secondary Button-2737859108" data-track="click" data-track-action="Go to SL article page" data-track-label="link" data-track-category="article body" rel="noreferrer" ><span class="btn-secondary-label ButtonLabel-1636778223" >Buy now</span ></a > </div> </div> </div><p class="tax-buybox">Prices may be subject to local taxes which are calculated during checkout</p></section><style type="text/css"> /* style specs start */ style { display: none !important; } .LiveAreaSection * { align-content: stretch; align-items: stretch; align-self: auto; animation-delay: 0s; animation-direction: normal; animation-duration: 0s; animation-fill-mode: none; animation-iteration-count: 1; animation-name: none; animation-play-state: running; animation-timing-function: ease; azimuth: center; backface-visibility: visible; background-attachment: scroll; background-blend-mode: normal; background-clip: borderBox; background-color: transparent; background-image: none; background-origin: paddingBox; background-position: 0 0; background-repeat: repeat; background-size: auto auto; block-size: auto; border-block-end-color: currentcolor; border-block-end-style: none; border-block-end-width: medium; border-block-start-color: currentcolor; border-block-start-style: none; border-block-start-width: medium; border-bottom-color: currentcolor; border-bottom-left-radius: 0; border-bottom-right-radius: 0; border-bottom-style: none; border-bottom-width: medium; border-collapse: separate; border-image-outset: 0s; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-inline-end-color: currentcolor; border-inline-end-style: none; border-inline-end-width: medium; border-inline-start-color: currentcolor; border-inline-start-style: none; border-inline-start-width: medium; border-left-color: currentcolor; border-left-style: none; border-left-width: medium; border-right-color: currentcolor; border-right-style: none; border-right-width: medium; border-spacing: 0; border-top-color: currentcolor; border-top-left-radius: 0; border-top-right-radius: 0; border-top-style: none; border-top-width: medium; bottom: auto; box-decoration-break: slice; box-shadow: none; box-sizing: border-box; break-after: auto; break-before: auto; break-inside: auto; caption-side: top; caret-color: auto; clear: none; clip: auto; clip-path: none; color: initial; column-count: auto; column-fill: balance; column-gap: normal; column-rule-color: currentcolor; column-rule-style: none; column-rule-width: medium; column-span: none; column-width: auto; content: normal; counter-increment: none; counter-reset: none; cursor: auto; display: inline; empty-cells: show; filter: none; flex-basis: auto; flex-direction: row; flex-grow: 0; flex-shrink: 1; flex-wrap: nowrap; float: none; font-family: initial; font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-size: medium; font-size-adjust: none; font-stretch: normal; font-style: normal; font-synthesis: weight style; font-variant: normal; font-variant-alternates: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-position: normal; font-weight: 400; grid-auto-columns: auto; grid-auto-flow: row; grid-auto-rows: auto; grid-column-end: auto; grid-column-gap: 0; grid-column-start: auto; grid-row-end: auto; grid-row-gap: 0; grid-row-start: auto; grid-template-areas: none; grid-template-columns: none; grid-template-rows: none; height: auto; hyphens: manual; image-orientation: 0deg; image-rendering: auto; image-resolution: 1dppx; ime-mode: auto; inline-size: auto; isolation: auto; justify-content: flexStart; left: auto; letter-spacing: normal; line-break: auto; line-height: normal; list-style-image: none; list-style-position: outside; list-style-type: disc; margin-block-end: 0; margin-block-start: 0; margin-bottom: 0; margin-inline-end: 0; margin-inline-start: 0; margin-left: 0; margin-right: 0; margin-top: 0; mask-clip: borderBox; mask-composite: add; mask-image: none; mask-mode: matchSource; mask-origin: borderBox; mask-position: 0 0; mask-repeat: repeat; mask-size: auto; mask-type: luminance; max-height: none; max-width: none; min-block-size: 0; min-height: 0; min-inline-size: 0; min-width: 0; mix-blend-mode: normal; object-fit: fill; object-position: 50% 50%; offset-block-end: auto; offset-block-start: auto; offset-inline-end: auto; offset-inline-start: auto; opacity: 1; order: 0; orphans: 2; outline-color: initial; outline-offset: 0; outline-style: none; outline-width: medium; overflow: visible; overflow-wrap: normal; overflow-x: visible; overflow-y: visible; padding-block-end: 0; padding-block-start: 0; padding-bottom: 0; padding-inline-end: 0; padding-inline-start: 0; padding-left: 0; padding-right: 0; padding-top: 0; page-break-after: auto; page-break-before: auto; page-break-inside: auto; perspective: none; perspective-origin: 50% 50%; pointer-events: auto; position: static; quotes: initial; resize: none; right: auto; ruby-align: spaceAround; ruby-merge: separate; ruby-position: over; scroll-behavior: auto; scroll-snap-coordinate: none; scroll-snap-destination: 0 0; scroll-snap-points-x: none; scroll-snap-points-y: none; scroll-snap-type: none; shape-image-threshold: 0; shape-margin: 0; shape-outside: none; tab-size: 8; table-layout: auto; text-align: initial; text-align-last: auto; text-combine-upright: none; text-decoration-color: currentcolor; text-decoration-line: none; text-decoration-style: solid; text-emphasis-color: currentcolor; text-emphasis-position: over right; text-emphasis-style: none; text-indent: 0; text-justify: auto; text-orientation: mixed; text-overflow: clip; text-rendering: auto; text-shadow: none; text-transform: none; text-underline-position: auto; top: auto; touch-action: auto; transform: none; transform-box: borderBox; transform-origin: 50% 50%0; transform-style: flat; transition-delay: 0s; transition-duration: 0s; transition-property: all; transition-timing-function: ease; vertical-align: baseline; visibility: visible; white-space: normal; widows: 2; width: auto; will-change: auto; word-break: normal; word-spacing: normal; word-wrap: normal; writing-mode: horizontalTb; z-index: auto; -webkit-appearance: none; -moz-appearance: none; -ms-appearance: none; appearance: none; margin: 0; } .LiveAreaSection { width: 100%; } .LiveAreaSection .login-option-buybox { display: block; width: 100%; font-size: 17px; line-height: 30px; color: #222; padding-top: 30px; font-family: Harding, Palatino, serif; } .LiveAreaSection .additional-access-options { display: block; font-weight: 700; font-size: 17px; line-height: 30px; color: #222; font-family: Harding, Palatino, serif; } .LiveAreaSection .additional-login > li:not(:first-child)::before { transform: translateY(-50%); content: ""; height: 1rem; position: absolute; top: 50%; left: 0; border-left: 2px solid #999; } .LiveAreaSection .additional-login > li:not(:first-child) { padding-left: 10px; } .LiveAreaSection .additional-login > li { display: inline-block; position: relative; vertical-align: middle; padding-right: 10px; } .BuyBoxSection { display: flex; flex-wrap: wrap; flex: 1; flex-direction: row-reverse; margin: -30px -15px 0; } .BuyBoxSection .box-inner { width: 100%; height: 100%; padding: 30px 5px; display: flex; flex-direction: column; justify-content: space-between; } .BuyBoxSection p { margin: 0; } .BuyBoxSection .readcube-buybox { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 1; flex-basis: 255px; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .subscribe-buybox { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 4; flex-basis: 300px; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .subscribe-buybox-nature-plus { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 4; flex-basis: 100%; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .title-readcube, .BuyBoxSection .title-buybox { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 24px; line-height: 32px; color: #222; text-align: center; font-family: Harding, Palatino, serif; } .BuyBoxSection .title-asia-buybox { display: block; margin: 0; margin-right: 5%; margin-left: 5%; font-size: 24px; line-height: 32px; color: #222; text-align: center; font-family: Harding, Palatino, serif; } .BuyBoxSection .asia-link, .Link-328123652, .Link-2926870917, .Link-2291679238, .Link-595459207 { color: #069; cursor: pointer; text-decoration: none; font-size: 1.05em; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 1.05em6; } .BuyBoxSection .access-readcube { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 14px; color: #222; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection ul { margin: 0; } .BuyBoxSection .link-usp { display: list-item; margin: 0; margin-left: 20px; padding-top: 6px; list-style-position: inside; } .BuyBoxSection .link-usp span { font-size: 14px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .access-asia-buybox { display: block; margin: 0; margin-right: 5%; margin-left: 5%; font-size: 14px; color: #222; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .access-buybox { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 14px; color: #222; opacity: 0.8px; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .price-buybox { display: block; font-size: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; padding-top: 30px; text-align: center; } .BuyBoxSection .price-buybox-to { display: block; font-size: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; text-align: center; } .BuyBoxSection .price-info-text { font-size: 16px; padding-right: 10px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-value { font-size: 30px; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-per-period { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-from { font-size: 14px; padding-right: 10px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .issue-buybox { display: block; font-size: 13px; text-align: center; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 19px; } .BuyBoxSection .no-price-buybox { display: block; font-size: 13px; line-height: 18px; text-align: center; padding-right: 10%; padding-left: 10%; padding-bottom: 20px; padding-top: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .vat-buybox { display: block; margin-top: 5px; margin-right: 20%; margin-left: 20%; font-size: 11px; color: #222; padding-top: 10px; padding-bottom: 15px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 17px; } .BuyBoxSection .tax-buybox { display: block; width: 100%; color: #222; padding: 20px 16px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: NaNpx; } .BuyBoxSection .button-container { display: flex; padding-right: 20px; padding-left: 20px; justify-content: center; } .BuyBoxSection .button-container > * { flex: 1px; } .BuyBoxSection .button-container > a:hover, .Button-505204839:hover, .Button-1078489254:hover, .Button-2737859108:hover { text-decoration: none; } .BuyBoxSection .btn-secondary { background: #fff; } .BuyBoxSection .button-asia { background: #069; border: 1px solid #069; border-radius: 0; cursor: pointer; display: block; padding: 9px; outline: 0; text-align: center; text-decoration: none; min-width: 80px; margin-top: 75px; } .BuyBoxSection .button-label-asia, .ButtonLabel-3869432492, .ButtonLabel-3296148077, .ButtonLabel-1636778223 { display: block; color: #fff; font-size: 17px; line-height: 20px; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; text-align: center; text-decoration: none; cursor: pointer; } .Button-505204839, .Button-1078489254, .Button-2737859108 { background: #069; border: 1px solid #069; border-radius: 0; cursor: pointer; display: block; padding: 9px; outline: 0; text-align: center; text-decoration: none; min-width: 80px; max-width: 320px; margin-top: 20px; } .Button-505204839 .btn-secondary-label, .Button-1078489254 .btn-secondary-label, .Button-2737859108 .btn-secondary-label { color: #069; } .uList-2102244549 { list-style: none; padding: 0; margin: 0; } /* style specs end */</style><div></div></div> <nav class="c-access-options"> <h3 class="c-access-options__heading">Additional access options:</h3> <ul class="c-access-options__list"> <li> <a href="https://idp.nature.com/authorize/natureuser?client_id=grover&redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" data-track="click" data-track-action="login" data-track-category="article body" data-track-label="link">Log in</a> </li> <li> <a href="https://www.springernature.com/gp/librarians/licensing/license-options" data-track="click" data-track-action="learn-subscription" data-track-category="article body" data-track-label="link">Learn about institutional subscriptions</a> </li> <li> <a href="https://support.nature.com/en/support/home" data-track="click" data-track-action="read our faqs" data-track-category="article body" data-track-label="link">Read our FAQs</a> </li> <li> <a href="https://www.springernature.com/gp/contact" data-track="click" data-track-action="contact customer support" data-track-category="article body" data-track-label="link">Contact customer support</a> </li> </ul> </nav> <div class="u-display-none"> <div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-1"><figure><figcaption><b id="Fig1" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 1: Interface structure and vibrational spectra of superconducting 1 uc FeSe/STO.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig1_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig1_HTML.png" alt="" loading="lazy" width="312" height="153"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-2"><figure><figcaption><b id="Fig2" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 2: Atomically resolved phonon spectroscopy and imaging.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig2_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig2_HTML.png" alt="" loading="lazy" width="312" height="190"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-3"><figure><figcaption><b id="Fig3" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 3: EPC from DFT.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig3_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig3_HTML.png" alt="" loading="lazy" width="242" height="312"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-4"><figure><figcaption><b id="Fig4" class="c-article-section__figure-caption" data-test="figure-caption-text">Fig. 4: Influence of interlayer spacing on phonons and superconductivity.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig4_HTML.png?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig4_HTML.png" alt="" loading="lazy" width="312" height="84"></picture></div></div></figure></div> </div> <section aria-labelledby="inline-recommendations" data-title="Inline Recommendations" class="c-article-recommendations" data-track-component="inline-recommendations"> <h3 class="c-article-recommendations-title" id="inline-recommendations">Similar content being viewed by others</h3> <div class="c-article-recommendations-list"> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41467-024-47688-5/MediaObjects/41467_2024_47688_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41467-024-47688-5?fromPaywallRec=true" data-track="select_recommendations_1" data-track-context="inline recommendations" data-track-action="click recommendations inline - 1" data-track-label="10.1038/s41467-024-47688-5">Atomic-scale observation of localized phonons at FeSe/SrTiO<sub>3</sub> interface </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__access-type">Open access</span> <span class="c-article-meta-recommendations__date">23 April 2024</span> </div> </div> </article> </div> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41467-021-23106-y/MediaObjects/41467_2021_23106_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41467-021-23106-y?fromPaywallRec=true" data-track="select_recommendations_2" data-track-context="inline recommendations" data-track-action="click recommendations inline - 2" data-track-label="10.1038/s41467-021-23106-y">Spectroscopic evidence of superconductivity pairing at 83 K in single-layer FeSe/SrTiO<sub>3</sub> films </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__access-type">Open access</span> <span class="c-article-meta-recommendations__date">14 May 2021</span> </div> </div> </article> </div> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41467-024-47350-0/MediaObjects/41467_2024_47350_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41467-024-47350-0?fromPaywallRec=true" data-track="select_recommendations_3" data-track-context="inline recommendations" data-track-action="click recommendations inline - 3" data-track-label="10.1038/s41467-024-47350-0">Electronic inhomogeneity and phase fluctuation in one-unit-cell FeSe films </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__access-type">Open access</span> <span class="c-article-meta-recommendations__date">20 April 2024</span> </div> </div> </article> </div> </div> </section> <script> window.dataLayer = window.dataLayer || []; window.dataLayer.push({ recommendations: { recommender: 'semantic', model: 'specter', policy_id: 'NA', timestamp: 1739894658, embedded_user: 'null' } }); </script> <div class="u-mt-32"> <section data-title="Data availability"><div class="c-article-section" id="data-availability-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="data-availability">Data availability</h2><div class="c-article-section__content" id="data-availability-content"> <p>Raw data for key experimental results are presented in Extended Data Figs. <a data-track="click" data-track-label="link" data-track-action="figure anchor" href="/articles/s41586-024-08118-0#Fig7">3</a> and <a data-track="click" data-track-label="link" data-track-action="figure anchor" href="/articles/s41586-024-08118-0#Fig12">8</a>. Further data can be requested from the corresponding author.</p> </div></div></section><div id="MagazineFulltextArticleBodySuffix"><section aria-labelledby="Bib1" data-title="References"><div class="c-article-section" id="Bib1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Bib1">References</h2><div class="c-article-section__content" id="Bib1-content"><div data-container-section="references"><ol class="c-article-references" data-track-component="outbound reference" data-track-context="references section"><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="1."><p class="c-article-references__text" id="ref-CR1">Wang, Q. Y. et al. Interface-induced high-temperature superconductivity in single unit-cell FeSe films on SrTiO<sub>3</sub>. <i>Chin. Phys. Lett.</i> <b>29</b>, 037402 (2012).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="2."><p class="c-article-references__text" id="ref-CR2">Lee, J. J. et al. Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO<sub>3</sub>. <i>Nature</i> <b>515</b>, 245–248 (2014).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2014Natur.515..245L" aria-label="ADS reference 2">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2cXitVyku7zM" aria-label="CAS reference 2">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=25391962" aria-label="PubMed reference 2">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 2" href="http://scholar.google.com/scholar_lookup?&title=Interfacial%20mode%20coupling%20as%20the%20origin%20of%20the%20enhancement%20of%20Tc%20in%20FeSe%20films%20on%20SrTiO3&journal=Nature&volume=515&pages=245-248&publication_year=2014&author=Lee%2CJJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="3."><p class="c-article-references__text" id="ref-CR3">Peng, R. et al. Tuning the band structure and superconductivity in single-layer FeSe by interface engineering. <i>Nat. Commun.</i> <b>5</b>, 5044 (2014).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2014NatCo...5.5044P" aria-label="ADS reference 3">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2cXitVWgtrvF" aria-label="CAS reference 3">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=25256736" aria-label="PubMed reference 3">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 3" href="http://scholar.google.com/scholar_lookup?&title=Tuning%20the%20band%20structure%20and%20superconductivity%20in%20single-layer%20FeSe%20by%20interface%20engineering&journal=Nat.%20Commun.&volume=5&publication_year=2014&author=Peng%2CR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="4."><p class="c-article-references__text" id="ref-CR4">Liu, X. et al. Dichotomy of the electronic structure and superconductivity between single-layer and double-layer FeSe/SrTiO<sub>3</sub> films. <i>Nat. Commun.</i> <b>5</b>, 5047 (2014).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2014NatCo...5.5047L" aria-label="ADS reference 4">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2cXitVShsLvJ" aria-label="CAS reference 4">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=25248072" aria-label="PubMed reference 4">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 4" href="http://scholar.google.com/scholar_lookup?&title=Dichotomy%20of%20the%20electronic%20structure%20and%20superconductivity%20between%20single-layer%20and%20double-layer%20FeSe%2FSrTiO3%20films&journal=Nat.%20Commun.&volume=5&publication_year=2014&author=Liu%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="5."><p class="c-article-references__text" id="ref-CR5">Zhang, C. et al. Ubiquitous strong electron-phonon coupling at the interface of FeSe/SrTiO<sub>3</sub>. <i>Nat. Commun.</i> <b>8</b>, 14468 (2017).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2017NatCo...814468Z" aria-label="ADS reference 5">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2sXisF2hsrc%3D" aria-label="CAS reference 5">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=28186084" aria-label="PubMed reference 5">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5311057" aria-label="PubMed Central reference 5">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 5" href="http://scholar.google.com/scholar_lookup?&title=Ubiquitous%20strong%20electron-phonon%20coupling%20at%20the%20interface%20of%20FeSe%2FSrTiO3&journal=Nat.%20Commun.&volume=8&publication_year=2017&author=Zhang%2CC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="6."><p class="c-article-references__text" id="ref-CR6">Shi, R. et al. Atomic-scale observation of localized phonons at FeSe/SrTiO<sub>3</sub> interface. <i>Nat. Commun.</i> <b>15</b>, 3418 (2024).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2024NatCo..15.3418S" aria-label="ADS reference 6">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB2cXptlSmtrg%3D" aria-label="CAS reference 6">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=38653990" aria-label="PubMed reference 6">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11039677" aria-label="PubMed Central reference 6">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 6" href="http://scholar.google.com/scholar_lookup?&title=Atomic-scale%20observation%20of%20localized%20phonons%20at%20FeSe%2FSrTiO3%20interface&journal=Nat.%20Commun.&volume=15&publication_year=2024&author=Shi%2CR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="7."><p class="c-article-references__text" id="ref-CR7">Liu, D. et al. Electronic origin of high-temperature superconductivity in single-layer FeSe superconductor. <i>Nat. Commun.</i> <b>3</b>, 931 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2012NatCo...3..931L" aria-label="ADS reference 7">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=22760630" aria-label="PubMed reference 7">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 7" href="http://scholar.google.com/scholar_lookup?&title=Electronic%20origin%20of%20high-temperature%20superconductivity%20in%20single-layer%20FeSe%20superconductor&journal=Nat.%20Commun.&volume=3&publication_year=2012&author=Liu%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="8."><p class="c-article-references__text" id="ref-CR8">Zhang, W. et al. Interface charge doping effects on superconductivity of single-unit-cell FeSe films on SrTiO<sub>3</sub> substrates. <i>Phys. Rev. B</i> <b>89</b>, 060506(R) (2014).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="9."><p class="c-article-references__text" id="ref-CR9">Zhang, H. et al. Origin of charge transfer and enhanced electron-phonon coupling in single unit-cell FeSe films on SrTiO<sub>3</sub>. <i>Nat. Commun.</i> <b>8</b>, 214 (2017).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2017NatCo...8..214Z" aria-label="ADS reference 9">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=28790304" aria-label="PubMed reference 9">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5548863" aria-label="PubMed Central reference 9">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 9" href="http://scholar.google.com/scholar_lookup?&title=Origin%20of%20charge%20transfer%20and%20enhanced%20electron-phonon%20coupling%20in%20single%20unit-cell%20FeSe%20films%20on%20SrTiO3&journal=Nat.%20Commun.&volume=8&publication_year=2017&author=Zhang%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="10."><p class="c-article-references__text" id="ref-CR10">Miyata, Y., Nakayama, K., Sugawara, K., Sato, T. & Takahashi, T. High-temperature superconductivity in potassium-coated multilayer FeSe thin films. <i>Nat. Mater.</i> <b>14</b>, 775–779 (2015).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2015NatMa..14..775M" aria-label="ADS reference 10">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2MXhtFeju7jN" aria-label="CAS reference 10">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=26030306" aria-label="PubMed reference 10">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 10" href="http://scholar.google.com/scholar_lookup?&title=High-temperature%20superconductivity%20in%20potassium-coated%20multilayer%20FeSe%20thin%20films&journal=Nat.%20Mater.&volume=14&pages=775-779&publication_year=2015&author=Miyata%2CY&author=Nakayama%2CK&author=Sugawara%2CK&author=Sato%2CT&author=Takahashi%2CT"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="11."><p class="c-article-references__text" id="ref-CR11">Lei, B. et al. Evolution of high-temperature superconductivity from a low-Tc phase tuned by carrier concentration in FeSe thin flakes. <i>Phys. Rev. Lett.</i> <b>116</b>, 077002 (2016).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="12."><p class="c-article-references__text" id="ref-CR12">Wen, C. H. P. et al. Anomalous correlation effects and unique phase diagram of electron-doped FeSe revealed by photoemission spectroscopy. <i>Nat. Commun.</i> <b>7</b>, 10840 (2016).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2016NatCo...710840W" aria-label="ADS reference 12">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC28XjslGrtbc%3D" aria-label="CAS reference 12">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=26952215" aria-label="PubMed reference 12">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4786746" aria-label="PubMed Central reference 12">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 12" href="http://scholar.google.com/scholar_lookup?&title=Anomalous%20correlation%20effects%20and%20unique%20phase%20diagram%20of%20electron-doped%20FeSe%20revealed%20by%20photoemission%20spectroscopy&journal=Nat.%20Commun.&volume=7&publication_year=2016&author=Wen%2CCHP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="13."><p class="c-article-references__text" id="ref-CR13">Zhang, W. H. et al. Direct observation of high-temperature superconductivity in one-unit-cell FeSe films. <i>Chin. Phys. Lett.</i> <b>31</b>, 017401 (2014).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="14."><p class="c-article-references__text" id="ref-CR14">Ge, J. F. et al. Superconductivity above 100 K in single-layer FeSe films on doped SrTiO<sub>3</sub>. <i>Nat. Mater.</i> <b>14</b>, 285–289 (2015).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2015NatMa..14..285G" aria-label="ADS reference 14">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2cXhvFKlsrbK" aria-label="CAS reference 14">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=25419814" aria-label="PubMed reference 14">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 14" href="http://scholar.google.com/scholar_lookup?&title=Superconductivity%20above%20100%20K%20in%20single-layer%20FeSe%20films%20on%20doped%20SrTiO3&journal=Nat.%20Mater.&volume=14&pages=285-289&publication_year=2015&author=Ge%2CJF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="15."><p class="c-article-references__text" id="ref-CR15">He, S. et al. Phase diagram and electronic indication of high-temperature superconductivity at 65 K in single-layer FeSe films. <i>Nat. Mater.</i> <b>12</b>, 605–610 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2013NatMa..12..605H" aria-label="ADS reference 15">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXot1Cntrw%3D" aria-label="CAS reference 15">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=23708329" aria-label="PubMed reference 15">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 15" href="http://scholar.google.com/scholar_lookup?&title=Phase%20diagram%20and%20electronic%20indication%20of%20high-temperature%20superconductivity%20at%2065%E2%80%89K%20in%20single-layer%20FeSe%20films&journal=Nat.%20Mater.&volume=12&pages=605-610&publication_year=2013&author=He%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="16."><p class="c-article-references__text" id="ref-CR16">Tan, S. et al. Interface-induced superconductivity and strain-dependent spin density waves in FeSe/SrTiO<sub>3</sub> thin films. <i>Nat. Mater.</i> <b>12</b>, 634–640 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2013NatMa..12..634T" aria-label="ADS reference 16">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXot1Cmur8%3D" aria-label="CAS reference 16">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=23708327" aria-label="PubMed reference 16">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 16" href="http://scholar.google.com/scholar_lookup?&title=Interface-induced%20superconductivity%20and%20strain-dependent%20spin%20density%20waves%20in%20FeSe%2FSrTiO3%20thin%20films&journal=Nat.%20Mater.&volume=12&pages=634-640&publication_year=2013&author=Tan%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="17."><p class="c-article-references__text" id="ref-CR17">Xu, Y. et al. Spectroscopic evidence of superconductivity pairing at 83 K in single-layer FeSe/SrTiO<sub>3</sub> films. <i>Nat. Commun.</i> <b>12</b>, 2840 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021NatCo..12.2840X" aria-label="ADS reference 17">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXhtFWntb7K" aria-label="CAS reference 17">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=33990574" aria-label="PubMed reference 17">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8121788" aria-label="PubMed Central reference 17">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 17" href="http://scholar.google.com/scholar_lookup?&title=Spectroscopic%20evidence%20of%20superconductivity%20pairing%20at%2083%20K%20in%20single-layer%20FeSe%2FSrTiO3%20films&journal=Nat.%20Commun.&volume=12&publication_year=2021&author=Xu%2CY"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="18."><p class="c-article-references__text" id="ref-CR18">Fan, Q. et al. Plain s-wave superconductivity in single-layer FeSe on SrTiO<sub>3</sub> probed by scanning tunnelling microscopy. <i>Nat. Phys.</i> <b>11</b>, 946–952 (2015).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2MXhsVahtbjI" aria-label="CAS reference 18">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 18" href="http://scholar.google.com/scholar_lookup?&title=Plain%20s-wave%20superconductivity%20in%20single-layer%20FeSe%20on%20SrTiO3%20probed%20by%20scanning%20tunnelling%20microscopy&journal=Nat.%20Phys.&volume=11&pages=946-952&publication_year=2015&author=Fan%2CQ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="19."><p class="c-article-references__text" id="ref-CR19">Song, Q. et al. Evidence of cooperative effect on the enhanced superconducting transition temperature at the FeSe/SrTiO<sub>3</sub> interface. <i>Nat. Commun.</i> <b>10</b>, 758 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019NatCo..10..758S" aria-label="ADS reference 19">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXns1Ght7Y%3D" aria-label="CAS reference 19">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=30770805" aria-label="PubMed reference 19">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6377624" aria-label="PubMed Central reference 19">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 19" href="http://scholar.google.com/scholar_lookup?&title=Evidence%20of%20cooperative%20effect%20on%20the%20enhanced%20superconducting%20transition%20temperature%20at%20the%20FeSe%2FSrTiO3%20interface&journal=Nat.%20Commun.&volume=10&publication_year=2019&author=Song%2CQ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="20."><p class="c-article-references__text" id="ref-CR20">Liu, C. et al. High-order replica bands in monolayer FeSe/SrTiO<sub>3</sub> revealed by polarization-dependent photoemission spectroscopy. <i>Nat. Commun.</i> <b>12</b>, 4573 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021NatCo..12.4573L" aria-label="ADS reference 20">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXhslylu7bI" aria-label="CAS reference 20">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=34321473" aria-label="PubMed reference 20">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8319137" aria-label="PubMed Central reference 20">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 20" href="http://scholar.google.com/scholar_lookup?&title=High-order%20replica%20bands%20in%20monolayer%20FeSe%2FSrTiO3%20revealed%20by%20polarization-dependent%20photoemission%20spectroscopy&journal=Nat.%20Commun.&volume=12&publication_year=2021&author=Liu%2CC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="21."><p class="c-article-references__text" id="ref-CR21">Faeth, B. D. et al. Interfacial electron-phonon coupling constants extracted from intrinsic replica bands in monolayer FeSe/SrTiO<sub>3</sub>. <i>Phys. Rev. Lett.</i> <b>127</b>, 016803 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021PhRvL.127a6803F" aria-label="ADS reference 21">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXhs1Wis7zE" aria-label="CAS reference 21">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=34270322" aria-label="PubMed reference 21">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 21" href="http://scholar.google.com/scholar_lookup?&title=Interfacial%20electron-phonon%20coupling%20constants%20extracted%20from%20intrinsic%20replica%20bands%20in%20monolayer%20FeSe%2FSrTiO3&journal=Phys.%20Rev.%20Lett.&volume=127&publication_year=2021&author=Faeth%2CBD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="22."><p class="c-article-references__text" id="ref-CR22">Fuchs, R. & Kliewer, K. L. Optical modes of vibration in an ionic crystal slab. <i>Phys. Rev.</i> <b>140</b>, A2076 (1965).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1965PhRv..140.2076F" aria-label="ADS reference 22">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 22" href="http://scholar.google.com/scholar_lookup?&title=Optical%20modes%20of%20vibration%20in%20an%20ionic%20crystal%20slab&journal=Phys.%20Rev.&volume=140&publication_year=1965&author=Fuchs%2CR&author=Kliewer%2CKL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="23."><p class="c-article-references__text" id="ref-CR23">Zhang, S. et al. Role of SrTiO<sub>3</sub> phonon penetrating into thin FeSe films in the enhancement of superconductivity. <i>Phys. Rev. B</i> <b>94</b>, (2016).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="24."><p class="c-article-references__text" id="ref-CR24">Zhang, S. et al. Enhanced superconducting state in FeSe/SrTiO<sub>3</sub> by a dynamic interfacial polaron mechanism. <i>Phys. Rev. Lett.</i> <b>122</b>, 066802 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019PhRvL.122f6802Z" aria-label="ADS reference 24">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXnsFKjtLo%3D" aria-label="CAS reference 24">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=30822064" aria-label="PubMed reference 24">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 24" href="http://scholar.google.com/scholar_lookup?&title=Enhanced%20superconducting%20state%20in%20FeSe%2FSrTiO3%20by%20a%20dynamic%20interfacial%20polaron%20mechanism&journal=Phys.%20Rev.%20Lett.&volume=122&publication_year=2019&author=Zhang%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="25."><p class="c-article-references__text" id="ref-CR25">Li, F. et al. Atomically resolved FeSe/SrTiO<sub>3</sub>(001) interface structure by scanning transmission electron microscopy. <i>2D Mater.</i> <b>3</b>, 024002 (2016).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="26."><p class="c-article-references__text" id="ref-CR26">Sims, H. et al. Intrinsic interfacial van der Waals monolayers and their effect on the high-temperature superconductor FeSe/SrTiO<sub>3</sub>. <i>Phys. Rev. B</i> <b>100</b>, 144103 (2019).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="27."><p class="c-article-references__text" id="ref-CR27">Peng, R. et al. Picoscale structural insight into superconductivity of monolayer FeSe/SrTiO<sub>3</sub>. <i>Sci. Adv.</i> <b>6</b>, eaay4517 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2020SciA....6.4517P" aria-label="ADS reference 27">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXitFGmsbnL" aria-label="CAS reference 27">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=32284994" aria-label="PubMed reference 27">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7141823" aria-label="PubMed Central reference 27">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 27" href="http://scholar.google.com/scholar_lookup?&title=Picoscale%20structural%20insight%20into%20superconductivity%20of%20monolayer%20FeSe%2FSrTiO3&journal=Sci.%20Adv.&volume=6&publication_year=2020&author=Peng%2CR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="28."><p class="c-article-references__text" id="ref-CR28">Krivanek, O. L. et al. Vibrational spectroscopy in the electron microscope. <i>Nature</i> <b>514</b>, 209–212 (2014).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2014Natur.514..209K" aria-label="ADS reference 28">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC2cXhslaqs7vF" aria-label="CAS reference 28">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=25297434" aria-label="PubMed reference 28">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 28" href="http://scholar.google.com/scholar_lookup?&title=Vibrational%20spectroscopy%20in%20the%20electron%20microscope&journal=Nature&volume=514&pages=209-212&publication_year=2014&author=Krivanek%2COL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="29."><p class="c-article-references__text" id="ref-CR29">Venkatraman, K., Levin, B. D. A., March, K., Rez, P. & Crozier, P. A. Vibrational spectroscopy at atomic resolution with electron impact scattering. <i>Nat. Phys.</i> <b>15</b>, 1237–1241 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXhvFWqurrL" aria-label="CAS reference 29">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 29" href="http://scholar.google.com/scholar_lookup?&title=Vibrational%20spectroscopy%20at%20atomic%20resolution%20with%20electron%20impact%20scattering&journal=Nat.%20Phys.&volume=15&pages=1237-1241&publication_year=2019&author=Venkatraman%2CK&author=Levin%2CBDA&author=March%2CK&author=Rez%2CP&author=Crozier%2CPA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="30."><p class="c-article-references__text" id="ref-CR30">Hage, F. S., Radtke, G., Kepaptsoglou, D. M., Lazzeri, M. & Ramasse, Q. M. Single-atom vibrational spectroscopy in the scanning transmission electron microscope. <i>Science</i> <b>367</b>, 1124–1127 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2020Sci...367.1124H" aria-label="ADS reference 30">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXktlOisb4%3D" aria-label="CAS reference 30">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=32139541" aria-label="PubMed reference 30">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 30" href="http://scholar.google.com/scholar_lookup?&title=Single-atom%20vibrational%20spectroscopy%20in%20the%20scanning%20transmission%20electron%20microscope&journal=Science&volume=367&pages=1124-1127&publication_year=2020&author=Hage%2CFS&author=Radtke%2CG&author=Kepaptsoglou%2CDM&author=Lazzeri%2CM&author=Ramasse%2CQM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="31."><p class="c-article-references__text" id="ref-CR31">Xu, M. et al. Single-atom vibrational spectroscopy with chemical-bonding sensitivity. <i>Nat. Mater.</i> <b>22</b>, 612–618 (2023).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2023NatMa..22..612X" aria-label="ADS reference 31">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3sXlsVWksrY%3D" aria-label="CAS reference 31">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=36928385" aria-label="PubMed reference 31">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 31" href="http://scholar.google.com/scholar_lookup?&title=Single-atom%20vibrational%20spectroscopy%20with%20chemical-bonding%20sensitivity&journal=Nat.%20Mater.&volume=22&pages=612-618&publication_year=2023&author=Xu%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="32."><p class="c-article-references__text" id="ref-CR32">Yan, X. et al. Single-defect phonons imaged by electron microscopy. <i>Nature</i> <b>589</b>, 65–69 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021Natur.589...65Y" aria-label="ADS reference 32">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXnsFalsw%3D%3D" aria-label="CAS reference 32">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=33408374" aria-label="PubMed reference 32">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 32" href="http://scholar.google.com/scholar_lookup?&title=Single-defect%20phonons%20imaged%20by%20electron%20microscopy&journal=Nature&volume=589&pages=65-69&publication_year=2021&author=Yan%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="33."><p class="c-article-references__text" id="ref-CR33">Yan, X. et al. Real-space visualization of frequency-dependent anisotropy of atomic vibrations. Preprint at <a href="https://arxiv.org/abs/2312.01694" data-track="click_references" data-track-action="external reference" data-track-value="external reference" data-track-label="https://arxiv.org/abs/2312.01694">https://arxiv.org/abs/2312.01694</a> (2023).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="34."><p class="c-article-references__text" id="ref-CR34">Erdman, N. et al. The structure and chemistry of the TiO<sub>2</sub>-rich surface of SrTiO<sub>3</sub> (001). <i>Nature</i> <b>419</b>, 55–58 (2002).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2002Natur.419...55E" aria-label="ADS reference 34">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD38Xmslahurk%3D" aria-label="CAS reference 34">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=12214229" aria-label="PubMed reference 34">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 34" href="http://scholar.google.com/scholar_lookup?&title=The%20structure%20and%20chemistry%20of%20the%20TiO2-rich%20surface%20of%20SrTiO3%20%28001%29&journal=Nature&volume=419&pages=55-58&publication_year=2002&author=Erdman%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="35."><p class="c-article-references__text" id="ref-CR35">Kubo, T. & Nozoye, H. Surface structure of SrTiO<sub>3</sub>(100). <i>Surf. Sci.</i> <b>542</b>, 177–191 (2003).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2003SurSc.542..177K" aria-label="ADS reference 35">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3sXntVKjtbY%3D" aria-label="CAS reference 35">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 35" href="http://scholar.google.com/scholar_lookup?&title=Surface%20structure%20of%20SrTiO3%28100%29&journal=Surf.%20Sci.&volume=542&pages=177-191&publication_year=2003&author=Kubo%2CT&author=Nozoye%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="36."><p class="c-article-references__text" id="ref-CR36">Andersen, T. K., Fong, D. D. & Marks, L. D. Pauling’s rules for oxide surfaces. <i>Surf. Sci. Rep.</i> <b>73</b>, 213–232 (2018).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2018SurSR..73..213A" aria-label="ADS reference 36">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1cXhvVChurjN" aria-label="CAS reference 36">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 36" href="http://scholar.google.com/scholar_lookup?&title=Pauling%E2%80%99s%20rules%20for%20oxide%20surfaces&journal=Surf.%20Sci.%20Rep.&volume=73&pages=213-232&publication_year=2018&author=Andersen%2CTK&author=Fong%2CDD&author=Marks%2CLD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="37."><p class="c-article-references__text" id="ref-CR37">Zou, K. et al. Role of double TiO<sub>2</sub> layers at the interface of FeSe/SrTiO<sub>3</sub> superconductors. <i>Phys. Rev. B</i> <b>93</b>, 180506 (2016).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="38."><p class="c-article-references__text" id="ref-CR38">Pedersen, A. K. et al. Interfacial superconductivity in FeSe ultrathin films on SrTiO<sub>3</sub> probed by in situ independently driven four-point-probe measurements. <i>Phys. Rev. Lett.</i> <b>124</b>, 227002 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2020PhRvL.124v7002P" aria-label="ADS reference 38">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXhsFCntrjE" aria-label="CAS reference 38">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=32567930" aria-label="PubMed reference 38">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 38" href="http://scholar.google.com/scholar_lookup?&title=Interfacial%20superconductivity%20in%20FeSe%20ultrathin%20films%20on%20SrTiO3%20probed%20by%20in%20situ%20independently%20driven%20four-point-probe%20measurements&journal=Phys.%20Rev.%20Lett.&volume=124&publication_year=2020&author=Pedersen%2CAK"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="39."><p class="c-article-references__text" id="ref-CR39">Hage, F. S., Kepaptsoglou, D. M., Ramasse, Q. M. & Allen, L. J. Phonon spectroscopy at atomic resolution. <i>Phys. Rev. Lett.</i> <b>122</b>, 016103 (2019).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2019PhRvL.122a6103H" aria-label="ADS reference 39">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1MXnvFSns7g%3D" aria-label="CAS reference 39">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=31012678" aria-label="PubMed reference 39">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 39" href="http://scholar.google.com/scholar_lookup?&title=Phonon%20spectroscopy%20at%20atomic%20resolution&journal=Phys.%20Rev.%20Lett.&volume=122&publication_year=2019&author=Hage%2CFS&author=Kepaptsoglou%2CDM&author=Ramasse%2CQM&author=Allen%2CLJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="40."><p class="c-article-references__text" id="ref-CR40">Yang, H. et al. Inelastic electron scattering at large angles: the phonon polariton contribution. Preprint at <a href="https://arxiv.org/abs/2401.04719" data-track="click_references" data-track-action="external reference" data-track-value="external reference" data-track-label="https://arxiv.org/abs/2401.04719">https://arxiv.org/abs/2401.04719</a> (2024).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="41."><p class="c-article-references__text" id="ref-CR41">Nicholls, R. J. et al. Theory of momentum-resolved phonon spectroscopy in the electron microscope. <i>Phys. Rev. B</i> <b>99</b>, 094105 (2019).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="42."><p class="c-article-references__text" id="ref-CR42">Zeiger, P. M. & Rusz, J. Efficient and versatile model for vibrational STEM-EELS. <i>Phys. Rev. Lett.</i> <b>124</b>, 025501 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2020PhRvL.124b5501Z" aria-label="ADS reference 42">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXmslyiu7Y%3D" aria-label="CAS reference 42">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=32004041" aria-label="PubMed reference 42">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 42" href="http://scholar.google.com/scholar_lookup?&title=Efficient%20and%20versatile%20model%20for%20vibrational%20STEM-EELS&journal=Phys.%20Rev.%20Lett.&volume=124&publication_year=2020&author=Zeiger%2CPM&author=Rusz%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="43."><p class="c-article-references__text" id="ref-CR43">Rademaker, L., Wang, Y., Berlijn, T. & Johnston, S. Enhanced superconductivity due to forward scattering in FeSe thin films on SrTiO<sub>3</sub> substrates. <i>New J. Phys.</i> <b>18</b>, 022001 (2016).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="44."><p class="c-article-references__text" id="ref-CR44">Rademaker, L., Alvarez-Suchini, G., Nakatsukasa, K., Wang, Y. & Johnston, S. Enhanced superconductivity in FeSe/SrTiO<sub>3</sub> from the combination of forward scattering phonons and spin fluctuations. <i>Phys. Rev. B</i> <b>103</b>, 144504 (2021).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="45."><p class="c-article-references__text" id="ref-CR45">Zhao, W. et al. Direct imaging of electron transfer and its influence on superconducting pairing at FeSe/SrTiO<sub>3</sub> interface. <i>Sci. Adv.</i> <b>4</b>, eaao2682 (2018).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2018SciA....4.2682Z" aria-label="ADS reference 45">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=29556528" aria-label="PubMed reference 45">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5856486" aria-label="PubMed Central reference 45">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 45" href="http://scholar.google.com/scholar_lookup?&title=Direct%20imaging%20of%20electron%20transfer%20and%20its%20influence%20on%20superconducting%20pairing%20at%20FeSe%2FSrTiO3%20interface&journal=Sci.%20Adv.&volume=4&publication_year=2018&author=Zhao%2CW"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="46."><p class="c-article-references__text" id="ref-CR46">Lee, D. H. What makes the Tc of FeSe/SrTiO<sub>3</sub> so high? <i>Chin. Phys. B</i> <b>24</b>, 117405 (2015).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="47."><p class="c-article-references__text" id="ref-CR47">Kang, B. L. et al. Preformed Cooper pairs in layered FeSe-based superconductors. <i>Phys. Rev. Lett.</i> <b>125</b>, 97003 (2020).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2020PhRvL.125i7003K" aria-label="ADS reference 47">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3cXhvVGlt7nJ" aria-label="CAS reference 47">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 47" href="http://scholar.google.com/scholar_lookup?&title=Preformed%20Cooper%20pairs%20in%20layered%20FeSe-based%20superconductors&journal=Phys.%20Rev.%20Lett.&volume=125&publication_year=2020&author=Kang%2CBL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="48."><p class="c-article-references__text" id="ref-CR48">Faeth, B. D. et al. Incoherent Cooper pairing and pseudogap behavior in single-layer FeSe/SrTiO<sub>3</sub>. <i>Phys. Rev. X</i> <b>11</b>, 021054 (2021).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="49."><p class="c-article-references__text" id="ref-CR49">Ide, K., Tanaka, T., Pedersen, A., Ichinokura, S. & Hirahara, T. Temperature dependence of the superconducting gap of single-layer FeSe/SrTiO<sub>3</sub>: direct comparison between transport and spectroscopic measurements. <i>Phys. Rev. Mater.</i> <b>6</b>, 124801 (2022).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="50."><p class="c-article-references__text" id="ref-CR50">Guan, J. et al. Superconducting transition of FeSe/SrTiO<sub>3</sub> induced by adsorption of semiconducting organic molecules. <i>Phys. Rev. B</i> <b>95</b>, 205405 (2017).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2017PhRvB..95t5405G" aria-label="ADS reference 50">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 50" href="http://scholar.google.com/scholar_lookup?&title=Superconducting%20transition%20of%20FeSe%2FSrTiO3%20induced%20by%20adsorption%20of%20semiconducting%20organic%20molecules&journal=Phys.%20Rev.%20B&volume=95&publication_year=2017&author=Guan%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="51."><p class="c-article-references__text" id="ref-CR51">Qi, R. et al. Four-dimensional vibrational spectroscopy for nanoscale mapping of phonon dispersion in BN nanotubes. <i>Nat. Commun.</i> <b>12</b>, 1179 (2021).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2021NatCo..12.1179Q" aria-label="ADS reference 51">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB3MXltFKqt70%3D" aria-label="CAS reference 51">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=33608559" aria-label="PubMed reference 51">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7896073" aria-label="PubMed Central reference 51">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 51" href="http://scholar.google.com/scholar_lookup?&title=Four-dimensional%20vibrational%20spectroscopy%20for%20nanoscale%20mapping%20of%20phonon%20dispersion%20in%20BN%20nanotubes&journal=Nat.%20Commun.&volume=12&publication_year=2021&author=Qi%2CR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="52."><p class="c-article-references__text" id="ref-CR52">Hoglund, E. R. et al. Emergent interface vibrational structure of oxide superlattices. <i>Nature</i> <b>601</b>, 556–561 (2022).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2022Natur.601..556H" aria-label="ADS reference 52">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB38XitFGlu7o%3D" aria-label="CAS reference 52">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=35082421" aria-label="PubMed reference 52">PubMed</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed central reference" data-track-action="pubmed central reference" href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8791828" aria-label="PubMed Central reference 52">PubMed Central</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 52" href="http://scholar.google.com/scholar_lookup?&title=Emergent%20interface%20vibrational%20structure%20of%20oxide%20superlattices&journal=Nature&volume=601&pages=556-561&publication_year=2022&author=Hoglund%2CER"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="53."><p class="c-article-references__text" id="ref-CR53">Batson, P. E. & Lagos, M. J. Interpretation of meV resolution phonon EELS data. <i>Microsc. Microanal.</i> <b>24</b>, 412–413 (2018).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2018MiMic..24S.412B" aria-label="ADS reference 53">ADS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 53" href="http://scholar.google.com/scholar_lookup?&title=Interpretation%20of%20meV%20resolution%20phonon%20EELS%20data&journal=Microsc.%20Microanal.&volume=24&pages=412-413&publication_year=2018&author=Batson%2CPE&author=Lagos%2CMJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="54."><p class="c-article-references__text" id="ref-CR54">Blochl, P. E. Projector augmented-+rave method. <i>Phys. Rev. B</i> <b>50</b>, 24 (1994).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 54" href="http://scholar.google.com/scholar_lookup?&title=Projector%20augmented-%2Brave%20method&journal=Phys.%20Rev.%20B&volume=50&publication_year=1994&author=Blochl%2CPE"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="55."><p class="c-article-references__text" id="ref-CR55">Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. <i>Phys. Rev. B</i> <b>59</b>, 1758–1775 (1999).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1999PhRvB..59.1758K" aria-label="ADS reference 55">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK1MXkt12nug%3D%3D" aria-label="CAS reference 55">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 55" href="http://scholar.google.com/scholar_lookup?&title=From%20ultrasoft%20pseudopotentials%20to%20the%20projector%20augmented-wave%20method&journal=Phys.%20Rev.%20B&volume=59&pages=1758-1775&publication_year=1999&author=Kresse%2CG&author=Joubert%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="56."><p class="c-article-references__text" id="ref-CR56">Perdew, J. P. & Zunger, A. Self-interaction correction to density-functional approximations for many-electron systems. <i>Phys. Rev. B</i> <b>23</b>, 5048–5079 (1981).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1981PhRvB..23.5048P" aria-label="ADS reference 56">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaL3MXktFejurk%3D" aria-label="CAS reference 56">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 56" href="http://scholar.google.com/scholar_lookup?&title=Self-interaction%20correction%20to%20density-functional%20approximations%20for%20many-electron%20systems&journal=Phys.%20Rev.%20B&volume=23&pages=5048-5079&publication_year=1981&author=Perdew%2CJP&author=Zunger%2CA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="57."><p class="c-article-references__text" id="ref-CR57">Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. <i>Phys. Rev. B</i> <b>54</b>, 11169–11186 (1996).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1996PhRvB..5411169K" aria-label="ADS reference 57">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK28Xms1Whu7Y%3D" aria-label="CAS reference 57">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 57" href="http://scholar.google.com/scholar_lookup?&title=Efficient%20iterative%20schemes%20for%20ab%20initio%20total-energy%20calculations%20using%20a%20plane-wave%20basis%20set&journal=Phys.%20Rev.%20B&volume=54&pages=11169-11186&publication_year=1996&author=Kresse%2CG&author=Furthm%C3%BCller%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="58."><p class="c-article-references__text" id="ref-CR58">Methfessel, M. & Paxton, A. T. High-precision sampling for Brillouin-zone integration in metals. <i>Phys. Rev. B</i> <b>40</b>, 3616–3621 (1989).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1989PhRvB..40.3616M" aria-label="ADS reference 58">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaL1MXls1Slsr0%3D" aria-label="CAS reference 58">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 58" href="http://scholar.google.com/scholar_lookup?&title=High-precision%20sampling%20for%20Brillouin-zone%20integration%20in%20metals&journal=Phys.%20Rev.%20B&volume=40&pages=3616-3621&publication_year=1989&author=Methfessel%2CM&author=Paxton%2CAT"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="59."><p class="c-article-references__text" id="ref-CR59">Baroni, S., De Gironcoli, S., Corso, A. D. & Giannozzi, P. Phonons and related crystal properties from density-functional perturbation theory. <i>Rev. Mod. Phys.</i> <b>73</b>, 515–562 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2001RvMP...73..515B" aria-label="ADS reference 59">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3MXlvFKrtLc%3D" aria-label="CAS reference 59">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 59" href="http://scholar.google.com/scholar_lookup?&title=Phonons%20and%20related%20crystal%20properties%20from%20density-functional%20perturbation%20theory&journal=Rev.%20Mod.%20Phys.&volume=73&pages=515-562&publication_year=2001&author=Baroni%2CS&author=Gironcoli%2CS&author=Corso%2CAD&author=Giannozzi%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="60."><p class="c-article-references__text" id="ref-CR60">Gonze, X. First-principles responses of solids to atomic displacements and homogeneous electric fields: Implementation of a conjugate-gradient algorithm. <i>Phys. Rev. B</i> <b>55</b>, 10337–10354 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1997PhRvB..5510337G" aria-label="ADS reference 60">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXivFOlsbo%3D" aria-label="CAS reference 60">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 60" href="http://scholar.google.com/scholar_lookup?&title=First-principles%20responses%20of%20solids%20to%20atomic%20displacements%20and%20homogeneous%20electric%20fields%3A%20Implementation%20of%20a%20conjugate-gradient%20algorithm&journal=Phys.%20Rev.%20B&volume=55&pages=10337-10354&publication_year=1997&author=Gonze%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="61."><p class="c-article-references__text" id="ref-CR61">Gonze, X. & Lee, C. Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory. <i>Phys. Rev. B</i> <b>55</b>, 10355–10368 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1997PhRvB..5510355G" aria-label="ADS reference 61">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXivFOlsbs%3D" aria-label="CAS reference 61">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 61" href="http://scholar.google.com/scholar_lookup?&title=Dynamical%20matrices%2C%20Born%20effective%20charges%2C%20dielectric%20permittivity%20tensors%2C%20and%20interatomic%20force%20constants%20from%20density-functional%20perturbation%20theory&journal=Phys.%20Rev.%20B&volume=55&pages=10355-10368&publication_year=1997&author=Gonze%2CX&author=Lee%2CC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="62."><p class="c-article-references__text" id="ref-CR62">Anisimov, V. I., Zaanen, J. & Andersen, O. K. Band theory and Mott insulators: Hubbard U instead of Stoner I. <i>Phys. Rev. B</i> <b>44</b>, 943–954 (1991).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1991PhRvB..44..943A" aria-label="ADS reference 62">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK3MXkvVaqsLs%3D" aria-label="CAS reference 62">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 62" href="http://scholar.google.com/scholar_lookup?&title=Band%20theory%20and%20Mott%20insulators%3A%20Hubbard%20U%20instead%20of%20Stoner%20I&journal=Phys.%20Rev.%20B&volume=44&pages=943-954&publication_year=1991&author=Anisimov%2CVI&author=Zaanen%2CJ&author=Andersen%2COK"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="63."><p class="c-article-references__text" id="ref-CR63">Giannozzi, P. et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. <i>J. Phys. Condens. Matter</i> <b>21</b>, 395502 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=21832390" aria-label="PubMed reference 63">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 63" href="http://scholar.google.com/scholar_lookup?&title=QUANTUM%20ESPRESSO%3A%20a%20modular%20and%20open-source%20software%20project%20for%20quantum%20simulations%20of%20materials&journal=J.%20Phys.%20Condens.%20Matter&volume=21&publication_year=2009&author=Giannozzi%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="64."><p class="c-article-references__text" id="ref-CR64">Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. <i>Phys. Rev. Lett.</i> <b>77</b>, 3865–3868 (1996).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=1996PhRvL..77.3865P" aria-label="ADS reference 64">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK28XmsVCgsbs%3D" aria-label="CAS reference 64">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=10062328" aria-label="PubMed reference 64">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 64" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20gradient%20approximation%20made%20simple&journal=Phys.%20Rev.%20Lett.&volume=77&pages=3865-3868&publication_year=1996&author=Perdew%2CJP&author=Burke%2CK&author=Ernzerhof%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="65."><p class="c-article-references__text" id="ref-CR65">Mitchell, R. H., Chakhmouradian, A. R. & Woodward, P. M. Crystal chemistry of perovskite-type compounds in the tausonite-loparite series, (Sr<sub>1−2x</sub>Na<sub>x</sub>La<sub>x</sub>)TiO<sub>3</sub>. <i>Phys. Chem. Miner.</i> <b>27</b>, 583–589 (2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="ads reference" data-track-action="ads reference" href="http://adsabs.harvard.edu/cgi-bin/nph-data_query?link_type=ABSTRACT&bibcode=2000PCM....27..583M" aria-label="ADS reference 65">ADS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3cXmtVKlt7w%3D" aria-label="CAS reference 65">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 65" href="http://scholar.google.com/scholar_lookup?&title=Crystal%20chemistry%20of%20perovskite-type%20compounds%20in%20the%20tausonite-loparite%20series%2C%20%28Sr1%E2%88%922xNaxLax%29TiO3&journal=Phys.%20Chem.%20Miner.&volume=27&pages=583-589&publication_year=2000&author=Mitchell%2CRH&author=Chakhmouradian%2CAR&author=Woodward%2CPM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="66."><p class="c-article-references__text" id="ref-CR66">Zeiger, P. M. & Rusz, J. Frequency-resolved frozen phonon multislice method and its application to vibrational electron energy loss spectroscopy using parallel illumination. <i>Phys. Rev. B</i> <b>104</b>, 104301 (2021).</p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="67."><p class="c-article-references__text" id="ref-CR67">Chen, X., Kim, D. S. & LeBeau, J. M. A comparison of molecular dynamics potentials used to account for thermal diffuse scattering in multislice simulations. <i>Ultramicroscopy</i> <b>244</b>, 113644 (2023).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BB38XivFaqs73P" aria-label="CAS reference 67">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=36410085" aria-label="PubMed reference 67">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 67" href="http://scholar.google.com/scholar_lookup?&title=A%20comparison%20of%20molecular%20dynamics%20potentials%20used%20to%20account%20for%20thermal%20diffuse%20scattering%20in%20multislice%20simulations&journal=Ultramicroscopy&volume=244&publication_year=2023&author=Chen%2CX&author=Kim%2CDS&author=LeBeau%2CJM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="68."><p class="c-article-references__text" id="ref-CR68">Barthel, J. Dr. Probe: a software for high-resolution STEM image simulation. <i>Ultramicroscopy</i> <b>193</b>, 1–11 (2018).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC1cXhtFeitLbP" aria-label="CAS reference 68">CAS</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="pubmed reference" data-track-action="pubmed reference" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&dopt=Abstract&list_uids=29906518" aria-label="PubMed reference 68">PubMed</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 68" href="http://scholar.google.com/scholar_lookup?&title=Dr.%20Probe%3A%20a%20software%20for%20high-resolution%20STEM%20image%20simulation&journal=Ultramicroscopy&volume=193&pages=1-11&publication_year=2018&author=Barthel%2CJ"> Google Scholar</a> </p></li></ol><p class="c-article-references__download u-hide-print"><a data-track="click" data-track-action="download citation references" data-track-label="link" rel="nofollow" href="https://citation-needed.springer.com/v2/references/10.1038/s41586-024-08118-0?format=refman&flavour=references">Download references<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-download-medium"></use></svg></a></p></div></div></div></section></div><section data-title="Acknowledgements"><div class="c-article-section" id="Ack1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Ack1">Acknowledgements</h2><div class="c-article-section__content" id="Ack1-content"><p>This work was primarily supported by the US Department of Energy (DOE), Office of Basic Energy Sciences, Division of Materials Sciences and Engineering, under Award No. DE-SC0014430 (H.Y. and X.P.). Further support was provided by the DOE’s National Nuclear Security Administration under grant no. GRANT13583770 (F.G. and X.P.) and the National Science Foundation through the Materials Research Science and Engineering Center programme under grant award no. DMR-2011967 (X.Y. and X.P.). Y.Z. and R.W. were supported by the US DOE, Office of Science (grant no. DE-FG02-05ER46237). P.Z. and J.R. acknowledge the support of the Swedish Research Council (grant no. 2021-03848), Olle Engkvist’s foundation (grant no. 214-0331), STINT (grant no. CH2019-8211) and Knut and Alice Wallenbergs’ foundation (grant no. 2022.0079). The electron microscopy studies were performed at the UC Irvine Materials Research Institute (IMRI) supported in part by the National Science Foundation through the Materials Research Science and Engineering Center programme (grant no. DMR-2011967). The simulations were enabled by resources provided by the National Academic Infrastructure for Supercomputing in Sweden (NAISS) at NSC Centre partially funded by the Swedish Research Council through grant agreement no. 2022-06725. H.Y. acknowledges L.D. Marks for valuable discussions on the surface structure of SrTiO<sub>3</sub>. H.Y. also thanks M. Xu for assistance with low-dose STEM imaging, as well as W. Wang and H. Wu for helping with TEM specimen preparation.</p></div></div></section><section aria-labelledby="author-information" data-title="Author information"><div class="c-article-section" id="author-information-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="author-information">Author information</h2><div class="c-article-section__content" id="author-information-content"><h3 class="c-article__sub-heading" id="affiliations">Authors and Affiliations</h3><ol class="c-article-author-affiliation__list"><li id="Aff1"><p class="c-article-author-affiliation__address">Department of Materials Science and Engineering, University of California, Irvine, CA, USA</p><p class="c-article-author-affiliation__authors-list">Hongbin Yang, Xingxu Yan, Francisco Guzman & Xiaoqing Pan</p></li><li id="Aff2"><p class="c-article-author-affiliation__address">Department of Physics and Astronomy, University of California, Irvine, CA, USA</p><p class="c-article-author-affiliation__authors-list">Yinong Zhou & Ruqian Wu</p></li><li id="Aff3"><p class="c-article-author-affiliation__address">Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing, China</p><p class="c-article-author-affiliation__authors-list">Guangyao Miao, Xiaofeng Xu, Xuetao Zhu, Weihua Wang & Jiandong Guo</p></li><li id="Aff4"><p class="c-article-author-affiliation__address">Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden</p><p class="c-article-author-affiliation__authors-list">Ján Rusz & Paul Zeiger</p></li><li id="Aff5"><p class="c-article-author-affiliation__address">Department of Chemistry, Princeton University, Princeton, NJ, USA</p><p class="c-article-author-affiliation__authors-list">Xianghan Xu</p></li><li id="Aff6"><p class="c-article-author-affiliation__address">Irvine Materials Research Institute (IMRI), University of California, Irvine, CA, USA</p><p class="c-article-author-affiliation__authors-list">Toshihiro Aoki & Xiaoqing Pan</p></li></ol><div class="u-js-hide u-hide-print" data-test="author-info"><span class="c-article__sub-heading">Authors</span><ol class="c-article-authors-search u-list-reset"><li id="auth-Hongbin-Yang-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">Hongbin Yang</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Hongbin%20Yang" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Hongbin%20Yang" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Hongbin%20Yang%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Yinong-Zhou-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">Yinong Zhou</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Yinong%20Zhou" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Yinong%20Zhou" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Yinong%20Zhou%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Guangyao-Miao-Aff3"><span class="c-article-authors-search__title u-h3 js-search-name">Guangyao Miao</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Guangyao%20Miao" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Guangyao%20Miao" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Guangyao%20Miao%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-J_n-Rusz-Aff4"><span class="c-article-authors-search__title u-h3 js-search-name">Ján Rusz</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=J%C3%A1n%20Rusz" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=J%C3%A1n%20Rusz" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22J%C3%A1n%20Rusz%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Xingxu-Yan-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">Xingxu Yan</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Xingxu%20Yan" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Xingxu%20Yan" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Xingxu%20Yan%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Francisco-Guzman-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">Francisco Guzman</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Francisco%20Guzman" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Francisco%20Guzman" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Francisco%20Guzman%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Xiaofeng-Xu-Aff3"><span class="c-article-authors-search__title u-h3 js-search-name">Xiaofeng Xu</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Xiaofeng%20Xu" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Xiaofeng%20Xu" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Xiaofeng%20Xu%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Xianghan-Xu-Aff5"><span class="c-article-authors-search__title u-h3 js-search-name">Xianghan Xu</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Xianghan%20Xu" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Xianghan%20Xu" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Xianghan%20Xu%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Toshihiro-Aoki-Aff6"><span class="c-article-authors-search__title u-h3 js-search-name">Toshihiro Aoki</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Toshihiro%20Aoki" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Toshihiro%20Aoki" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Toshihiro%20Aoki%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Paul-Zeiger-Aff4"><span class="c-article-authors-search__title u-h3 js-search-name">Paul Zeiger</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Paul%20Zeiger" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Paul%20Zeiger" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Paul%20Zeiger%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Xuetao-Zhu-Aff3"><span class="c-article-authors-search__title u-h3 js-search-name">Xuetao Zhu</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Xuetao%20Zhu" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Xuetao%20Zhu" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Xuetao%20Zhu%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Weihua-Wang-Aff3"><span class="c-article-authors-search__title u-h3 js-search-name">Weihua Wang</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Weihua%20Wang" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Weihua%20Wang" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Weihua%20Wang%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Jiandong-Guo-Aff3"><span class="c-article-authors-search__title u-h3 js-search-name">Jiandong Guo</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Jiandong%20Guo" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Jiandong%20Guo" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Jiandong%20Guo%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Ruqian-Wu-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">Ruqian Wu</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Ruqian%20Wu" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Ruqian%20Wu" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Ruqian%20Wu%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Xiaoqing-Pan-Aff1-Aff6"><span class="c-article-authors-search__title u-h3 js-search-name">Xiaoqing Pan</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Xiaoqing%20Pan" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Xiaoqing%20Pan" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Xiaoqing%20Pan%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li></ol></div><h3 class="c-article__sub-heading" id="contributions">Contributions</h3><p>X.P. conceived and directed this project. H.Y. proposed and designed the research with input from J.G., R.W. and X.P. H.Y. carried out TEM specimen preparation, STEM–EELS experiments and data analysis. Y.Z. and R.W. designed and performed DFT simulations. G.M. and Xiaofeng Xu grew FeSe/STO samples with supervision from X.Z. and J.G. G.M. performed STM–STS experiments with supervision from W.W. and J.G. J.R. did FRFPMS simulations with input from P.Z. and Y.Z. F.G. and H.Y. performed STEM image simulations. Xianghan Xu grew the FeSe bulk single crystal. X.Y. and T.A. helped with STEM–EELS experiments. The manuscript was prepared by H.Y., Y.Z., R.W. and X.P., with contributions from all other co-authors.</p><h3 class="c-article__sub-heading" id="corresponding-author">Corresponding author</h3><p id="corresponding-author-list">Correspondence to <a id="corresp-c1" href="mailto:xiaoqinp@uci.edu">Xiaoqing Pan</a>.</p></div></div></section><section data-title="Ethics declarations"><div class="c-article-section" id="ethics-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="ethics">Ethics declarations</h2><div class="c-article-section__content" id="ethics-content"> <h3 class="c-article__sub-heading" id="FPar2">Competing interests</h3> <p>The authors declare no completing interests.</p> </div></div></section><section data-title="Peer review"><div class="c-article-section" id="peer-review-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="peer-review">Peer review</h2><div class="c-article-section__content" id="peer-review-content"> <h3 class="c-article__sub-heading" id="FPar1">Peer review information</h3> <p><i>Nature</i> thanks Louk Rademaker and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. <a data-track="click" data-track-label="link" data-track-action="supplementary material anchor" href="/articles/s41586-024-08118-0#MOESM2">Peer reviewer reports</a> are available.</p> </div></div></section><section data-title="Additional information"><div class="c-article-section" id="additional-information-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="additional-information">Additional information</h2><div class="c-article-section__content" id="additional-information-content"><p><b>Publisher’s note</b> Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p></div></div></section><section data-title="Extended data figures and tables"><div class="c-article-section" id="Sec11-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Sec11">Extended data figures and tables</h2><div class="c-article-section__content" id="Sec11-content"><div data-test="supplementary-info"><div id="figshareContainer" class="c-article-figshare-container" data-test="figshare-container"></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig5"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 1 stm and stem images of the 1u" href="/articles/s41586-024-08118-0/figures/5" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig5_ESM.jpg">Extended Data Fig. 1 STM and STEM images of the 1uc FeSe/STO samples.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a) A large-scale STM image of the 1uc FeSe film on STO before post-annealing and Te capping, with some brighter islands due to 2uc FeSe at the edges of the STO surface steps. (b) and (c) zoom-in STM image after post-annealing. (d) Low-magnification cross-section HAADF image of the same sample after Te capping, showing a typical 1uc FeSe region. (e) HAADF image of a 2uc FeSe region from the same 1uc FeSe/STO sample.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig6"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 2 schematic of the momentum-sel" href="/articles/s41586-024-08118-0/figures/6" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig6_ESM.jpg">Extended Data Fig. 2 Schematic of the momentum-selective dark-field EELS experiment.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a) Scattering geometry (b) A diffraction pattern under defocused condition showing a shadow image of the TEM specimen of amorphous carbon/Te/FeSe/STO and the interface direction. (c) A diffraction pattern with intensity shown in log scale. The electron beam focused on the STO region. The EELS entrance aperture locations for OP and IP acquisitions are shown in (b).</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig7"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 3 raw columns resolved dark-fie" href="/articles/s41586-024-08118-0/figures/7" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig7_ESM.jpg">Extended Data Fig. 3 Raw columns resolved dark-field EELS.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a) EELS of O and Sr columns in the Sr-O layer 1. The 14 meV peak corresponds to the Sr phonons, 65 and 100 meV phonon peaks are stronger on the O column. (b) O columns in the Ti-O layer 1 (blue curve) compared with equatorial O columns in STO (orange curve). New vibrational loss peaks near 76 and 85 meV are indicated by the blue arrows, which are associated with the Ti-O bonding between Ti-O layer 1 and 0. (c) O columns in the Ti-O layer 0 (blue curve) compared with the average of both apical and equatorial O columns in STO (orange curve). All EEL spectra in (d, e, f) are from OP measurements. The EELS acquisition locations are shown with color-matching rectangles in the inserted HAADF image (dimension 1 × 2 nm). Differences between each pair of EEL spectra in (a, b, c) are plotted in (d, e, f). The spectra are multiplied with E to better visualized the EELS intensity differences as a function of energy.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig8"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 4 additional phonon spectral im" href="/articles/s41586-024-08118-0/figures/8" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig8_ESM.jpg">Extended Data Fig. 4 Additional phonon spectral images.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a, b) Medium energy Ti+O phonon maps from OP and IP acquisition, respectively. The bright atomic columns in the STO region correspond to the Ti + O atom columns. The images show elongation in either horizontal (41 meV and 50 meV, OP) or vertical (33 meV and 45 meV, IP) direction. This is due to the vibration of different O columns near the Ti + O columns, as illustrated with the TiO<sub>6</sub> octahedrons in the 50 meV OP and 45 meV IP images. The oxygen vibration directions are indicated with double headed arrows. The 60 meV and 65 meV images involve all O columns surrounding the Ti + O columns, therefore show less elongations. (c, d) OP and IP interface phonons. The OP interface phonons were found between 76 and 84 meV, whereas the IP interface vibrations were observed near 50 meV and 77 meV. The vibration of the “O” columns in Ti-O layer 0 is stronger at 76 meV than at 84 meV in the OP maps, as indicated by the solid and open arrows. The two IP interface phonon maps differ from each other by their vibrational intensity of O in Ti-O layer 1. The stronger oxygen column vibrations were observed in the 77 meV map, as indicated by the arrows as well. (e, f) FRFPMS simulation of the interface phonons correspond to (c, d), which agree qualitatively with EELS data.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig9"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 5 electron-phonon coupling of 1" href="/articles/s41586-024-08118-0/figures/9" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig9_ESM.jpg">Extended Data Fig. 5 Electron-phonon coupling of 1uc STO models.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a) The phonon dispersions for the structure FeSe/STO (1uc, without additional TiO<sub>x</sub> layer) with phonon linewidth <i>γ</i><sub><b><i>q</i></b><i>ν</i></sub> denoted by red circles. The right panel shows the Eliashberg spectral function <i>α</i><sup>2</sup>F(<i>ω</i>) (black line) and cumulative frequency-dependent <i>λ</i>(<i>ω</i>) (red line). (b) The atomic displacements for the 88 meV strong-coupling modes in (a) at <b>q</b> = 0. (c) The atomic displacements for the HE and LE modes at 78.0 and 65.7 meV, calculated for the FeSe/Ti<sub>2</sub>O<sub>2</sub>/STO (1uc) model in Fig. <a data-track="click" data-track-label="link" data-track-action="figure anchor" href="/articles/s41586-024-08118-0#Fig3">3</a>. The additional Ti<sub>2</sub>O<sub>2</sub> interfacial layer introduces new out-of-plane vibration modes of O atoms in Ti-O layer 1.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig10"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 6 electronic structure of fese/" href="/articles/s41586-024-08118-0/figures/10" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig10_ESM.jpg">Extended Data Fig. 6 Electronic structure of FeSe/Ti<sub>2</sub>O<sub>2</sub>/STO.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a) The band structures and projected orbital contributions. The blue, yellow, and red dots represent the total orbital contributions of Ti, Fe, and O, respectively. The red shaded area in [−0.05, 0.05] eV corresponds to the energy range for the charge density plot in (b). (b) The charge density (yellow) with electronic states around the Fermi level with the isosurface values of 0.0005 e/bohr<sup>3</sup>.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig11"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 7 haadf-stem images of fese/sto" href="/articles/s41586-024-08118-0/figures/11" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig11_ESM.jpg">Extended Data Fig. 7 HAADF-STEM images of FeSe/STO interfaces with different <i>d</i><sub>Fe-Ti</sub>.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>(a) An as-grown 10uc FeSe/STO sample with large <i>d</i><sub>Fe-Ti</sub> interface. (b) A 2uc FeSe region in the 500 °C annealed sample with large <i>d</i><sub>Fe-Ti</sub>. (c) A different region from the same specimen in (b) but with small <i>d</i><sub>Fe-Ti</sub>. (d) A region in the 500 °C annealed sample featuring gradual interface structure transition from large <i>d</i><sub>Fe-Ti</sub> (left) to small <i>d</i><sub>Fe-Ti</sub> (right). (e) A region in the 460 °C annealed sample featuring sharp interface structure transition from large <i>d</i><sub>Fe-Ti</sub> to small <i>d</i><sub>Fe-Ti</sub>. The transition region has disorders in the FeSe film. The vertical positions of the Fe layer in the 1uc FeSe and the Ti-O layer 0 of STO surface, as well as the corresponding <i>d</i><sub>Fe-Ti</sub> are horizontal lines and double headed arrows.</p></div></div><div class="c-article-supplementary__item js-c-reading-companion-figures-item" data-test="supp-item" id="Fig12"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="extended data fig. 8 data acquisition and statisti" href="/articles/s41586-024-08118-0/figures/12" data-supp-info-image="//media.springernature.com/lw685/springer-static/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_Fig12_ESM.jpg">Extended Data Fig. 8 Data acquisition and statistical improvement for momentum-selective dark-field EELS mapping.</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>From left to right: asymmetric annular dark-field (aADF) image acquired simultaneously with EELS mapping, and energy filtered dark-field EELS maps at 15 meV, 40–70, meV 99 meV, 74–86 meV. From top to bottom: sets of images with increasing number of averaged datasets, with (a), (b), (c), and (d) averaging 2, 4, 8, and 15 datasets, respectively.</p></div></div></div></div></div></section><section data-title="Supplementary information"><div class="c-article-section" id="Sec12-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Sec12">Supplementary information</h2><div class="c-article-section__content" id="Sec12-content"><div data-test="supplementary-info"><div class="c-article-supplementary__item" data-test="supp-item" id="MOESM1"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="supplementary information" href="https://static-content.springer.com/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_MOESM1_ESM.pdf" data-supp-info-image="">Supplementary Information</a></h3><div class="c-article-supplementary__description" data-component="thumbnail-container"><p>This Supplementary Information file contains Discussion (1. Interface structure analysis; 2. Additional vibrational EELS analysis; 3. First-principles calculations), including Figs 1–9 and extra references.</p></div></div><div class="c-article-supplementary__item" data-test="supp-item" id="MOESM2"><h3 class="c-article-supplementary__title u-h3"><a class="print-link" data-track="click" data-track-action="view supplementary info" data-test="supp-info-link" data-track-label="peer review file" href="https://static-content.springer.com/esm/art%3A10.1038%2Fs41586-024-08118-0/MediaObjects/41586_2024_8118_MOESM2_ESM.pdf" data-supp-info-image="">Peer Review File</a></h3></div></div></div></div></section><section data-title="Rights and permissions"><div class="c-article-section" id="rightslink-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="rightslink">Rights and permissions</h2><div class="c-article-section__content" id="rightslink-content"><p>Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</p><p class="c-article-rights"><a data-track="click" data-track-action="view rights and permissions" data-track-label="link" href="https://s100.copyright.com/AppDispatchServlet?title=Phonon%20modes%20and%20electron%E2%80%93phonon%20coupling%20at%20the%20FeSe%2FSrTiO3%20interface&author=Hongbin%20Yang%20et%20al&contentID=10.1038%2Fs41586-024-08118-0&copyright=The%20Author%28s%29%2C%20under%20exclusive%20licence%20to%20Springer%20Nature%20Limited&publication=0028-0836&publicationDate=2024-10-30&publisherName=SpringerNature&orderBeanReset=true">Reprints and permissions</a></p></div></div></section><section aria-labelledby="article-info" data-title="About this article"><div class="c-article-section" id="article-info-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="article-info">About this article</h2><div class="c-article-section__content" id="article-info-content"><div class="c-bibliographic-information"><div class="u-hide-print c-bibliographic-information__column c-bibliographic-information__column--border"><a data-crossmark="10.1038/s41586-024-08118-0" target="_blank" rel="noopener" href="https://crossmark.crossref.org/dialog/?doi=10.1038/s41586-024-08118-0" data-track="click" data-track-action="Click Crossmark" data-track-label="link" data-test="crossmark"><img loading="lazy" width="57" height="81" alt="Check for updates. Verify currency and authenticity via CrossMark" src="data:image/svg+xml;base64,<svg height="81" width="57" xmlns="http://www.w3.org/2000/svg"><g fill="none" fill-rule="evenodd"><path d="m17.35 35.45 21.3-14.2v-17.03h-21.3" fill="#989898"/><path d="m38.65 35.45-21.3-14.2v-17.03h21.3" fill="#747474"/><path d="m28 .5c-12.98 0-23.5 10.52-23.5 23.5s10.52 23.5 23.5 23.5 23.5-10.52 23.5-23.5c0-6.23-2.48-12.21-6.88-16.62-4.41-4.4-10.39-6.88-16.62-6.88zm0 41.25c-9.8 0-17.75-7.95-17.75-17.75s7.95-17.75 17.75-17.75 17.75 7.95 17.75 17.75c0 4.71-1.87 9.22-5.2 12.55s-7.84 5.2-12.55 5.2z" fill="#535353"/><path d="m41 36c-5.81 6.23-15.23 7.45-22.43 2.9-7.21-4.55-10.16-13.57-7.03-21.5l-4.92-3.11c-4.95 10.7-1.19 23.42 8.78 29.71 9.97 6.3 23.07 4.22 30.6-4.86z" fill="#9c9c9c"/><path d="m.2 58.45c0-.75.11-1.42.33-2.01s.52-1.09.91-1.5c.38-.41.83-.73 1.34-.94.51-.22 1.06-.32 1.65-.32.56 0 1.06.11 1.51.35.44.23.81.5 1.1.81l-.91 1.01c-.24-.24-.49-.42-.75-.56-.27-.13-.58-.2-.93-.2-.39 0-.73.08-1.05.23-.31.16-.58.37-.81.66-.23.28-.41.63-.53 1.04-.13.41-.19.88-.19 1.39 0 1.04.23 1.86.68 2.46.45.59 1.06.88 1.84.88.41 0 .77-.07 1.07-.23s.59-.39.85-.68l.91 1c-.38.43-.8.76-1.28.99-.47.22-1 .34-1.58.34-.59 0-1.13-.1-1.64-.31-.5-.2-.94-.51-1.31-.91-.38-.4-.67-.9-.88-1.48-.22-.59-.33-1.26-.33-2.02zm8.4-5.33h1.61v2.54l-.05 1.33c.29-.27.61-.51.96-.72s.76-.31 1.24-.31c.73 0 1.27.23 1.61.71.33.47.5 1.14.5 2.02v4.31h-1.61v-4.1c0-.57-.08-.97-.25-1.21-.17-.23-.45-.35-.83-.35-.3 0-.56.08-.79.22-.23.15-.49.36-.78.64v4.8h-1.61zm7.37 6.45c0-.56.09-1.06.26-1.51.18-.45.42-.83.71-1.14.29-.3.63-.54 1.01-.71.39-.17.78-.25 1.18-.25.47 0 .88.08 1.23.24.36.16.65.38.89.67s.42.63.54 1.03c.12.41.18.84.18 1.32 0 .32-.02.57-.07.76h-4.36c.07.62.29 1.1.65 1.44.36.33.82.5 1.38.5.29 0 .57-.04.83-.13s.51-.21.76-.37l.55 1.01c-.33.21-.69.39-1.09.53-.41.14-.83.21-1.26.21-.48 0-.92-.08-1.34-.25-.41-.16-.76-.4-1.07-.7-.31-.31-.55-.69-.72-1.13-.18-.44-.26-.95-.26-1.52zm4.6-.62c0-.55-.11-.98-.34-1.28-.23-.31-.58-.47-1.06-.47-.41 0-.77.15-1.07.45-.31.29-.5.73-.58 1.3zm2.5.62c0-.57.09-1.08.28-1.53.18-.44.43-.82.75-1.13s.69-.54 1.1-.71c.42-.16.85-.24 1.31-.24.45 0 .84.08 1.17.23s.61.34.85.57l-.77 1.02c-.19-.16-.38-.28-.56-.37-.19-.09-.39-.14-.61-.14-.56 0-1.01.21-1.35.63-.35.41-.52.97-.52 1.67 0 .69.17 1.24.51 1.66.34.41.78.62 1.32.62.28 0 .54-.06.78-.17.24-.12.45-.26.64-.42l.67 1.03c-.33.29-.69.51-1.08.65-.39.15-.78.23-1.18.23-.46 0-.9-.08-1.31-.24-.4-.16-.75-.39-1.05-.7s-.53-.69-.7-1.13c-.17-.45-.25-.96-.25-1.53zm6.91-6.45h1.58v6.17h.05l2.54-3.16h1.77l-2.35 2.8 2.59 4.07h-1.75l-1.77-2.98-1.08 1.23v1.75h-1.58zm13.69 1.27c-.25-.11-.5-.17-.75-.17-.58 0-.87.39-.87 1.16v.75h1.34v1.27h-1.34v5.6h-1.61v-5.6h-.92v-1.2l.92-.07v-.72c0-.35.04-.68.13-.98.08-.31.21-.57.4-.79s.42-.39.71-.51c.28-.12.63-.18 1.04-.18.24 0 .48.02.69.07.22.05.41.1.57.17zm.48 5.18c0-.57.09-1.08.27-1.53.17-.44.41-.82.72-1.13.3-.31.65-.54 1.04-.71.39-.16.8-.24 1.23-.24s.84.08 1.24.24c.4.17.74.4 1.04.71s.54.69.72 1.13c.19.45.28.96.28 1.53s-.09 1.08-.28 1.53c-.18.44-.42.82-.72 1.13s-.64.54-1.04.7-.81.24-1.24.24-.84-.08-1.23-.24-.74-.39-1.04-.7c-.31-.31-.55-.69-.72-1.13-.18-.45-.27-.96-.27-1.53zm1.65 0c0 .69.14 1.24.43 1.66.28.41.68.62 1.18.62.51 0 .9-.21 1.19-.62.29-.42.44-.97.44-1.66 0-.7-.15-1.26-.44-1.67-.29-.42-.68-.63-1.19-.63-.5 0-.9.21-1.18.63-.29.41-.43.97-.43 1.67zm6.48-3.44h1.33l.12 1.21h.05c.24-.44.54-.79.88-1.02.35-.24.7-.36 1.07-.36.32 0 .59.05.78.14l-.28 1.4-.33-.09c-.11-.01-.23-.02-.38-.02-.27 0-.56.1-.86.31s-.55.58-.77 1.1v4.2h-1.61zm-47.87 15h1.61v4.1c0 .57.08.97.25 1.2.17.24.44.35.81.35.3 0 .57-.07.8-.22.22-.15.47-.39.73-.73v-4.7h1.61v6.87h-1.32l-.12-1.01h-.04c-.3.36-.63.64-.98.86-.35.21-.76.32-1.24.32-.73 0-1.27-.24-1.61-.71-.33-.47-.5-1.14-.5-2.02zm9.46 7.43v2.16h-1.61v-9.59h1.33l.12.72h.05c.29-.24.61-.45.97-.63.35-.17.72-.26 1.1-.26.43 0 .81.08 1.15.24.33.17.61.4.84.71.24.31.41.68.53 1.11.13.42.19.91.19 1.44 0 .59-.09 1.11-.25 1.57-.16.47-.38.85-.65 1.16-.27.32-.58.56-.94.73-.35.16-.72.25-1.1.25-.3 0-.6-.07-.9-.2s-.59-.31-.87-.56zm0-2.3c.26.22.5.37.73.45.24.09.46.13.66.13.46 0 .84-.2 1.15-.6.31-.39.46-.98.46-1.77 0-.69-.12-1.22-.35-1.61-.23-.38-.61-.57-1.13-.57-.49 0-.99.26-1.52.77zm5.87-1.69c0-.56.08-1.06.25-1.51.16-.45.37-.83.65-1.14.27-.3.58-.54.93-.71s.71-.25 1.08-.25c.39 0 .73.07 1 .2.27.14.54.32.81.55l-.06-1.1v-2.49h1.61v9.88h-1.33l-.11-.74h-.06c-.25.25-.54.46-.88.64-.33.18-.69.27-1.06.27-.87 0-1.56-.32-2.07-.95s-.76-1.51-.76-2.65zm1.67-.01c0 .74.13 1.31.4 1.7.26.38.65.58 1.15.58.51 0 .99-.26 1.44-.77v-3.21c-.24-.21-.48-.36-.7-.45-.23-.08-.46-.12-.7-.12-.45 0-.82.19-1.13.59-.31.39-.46.95-.46 1.68zm6.35 1.59c0-.73.32-1.3.97-1.71.64-.4 1.67-.68 3.08-.84 0-.17-.02-.34-.07-.51-.05-.16-.12-.3-.22-.43s-.22-.22-.38-.3c-.15-.06-.34-.1-.58-.1-.34 0-.68.07-1 .2s-.63.29-.93.47l-.59-1.08c.39-.24.81-.45 1.28-.63.47-.17.99-.26 1.54-.26.86 0 1.51.25 1.93.76s.63 1.25.63 2.21v4.07h-1.32l-.12-.76h-.05c-.3.27-.63.48-.98.66s-.73.27-1.14.27c-.61 0-1.1-.19-1.48-.56-.38-.36-.57-.85-.57-1.46zm1.57-.12c0 .3.09.53.27.67.19.14.42.21.71.21.28 0 .54-.07.77-.2s.48-.31.73-.56v-1.54c-.47.06-.86.13-1.18.23-.31.09-.57.19-.76.31s-.33.25-.41.4c-.09.15-.13.31-.13.48zm6.29-3.63h-.98v-1.2l1.06-.07.2-1.88h1.34v1.88h1.75v1.27h-1.75v3.28c0 .8.32 1.2.97 1.2.12 0 .24-.01.37-.04.12-.03.24-.07.34-.11l.28 1.19c-.19.06-.4.12-.64.17-.23.05-.49.08-.76.08-.4 0-.74-.06-1.02-.18-.27-.13-.49-.3-.67-.52-.17-.21-.3-.48-.37-.78-.08-.3-.12-.64-.12-1.01zm4.36 2.17c0-.56.09-1.06.27-1.51s.41-.83.71-1.14c.29-.3.63-.54 1.01-.71.39-.17.78-.25 1.18-.25.47 0 .88.08 1.23.24.36.16.65.38.89.67s.42.63.54 1.03c.12.41.18.84.18 1.32 0 .32-.02.57-.07.76h-4.37c.08.62.29 1.1.65 1.44.36.33.82.5 1.38.5.3 0 .58-.04.84-.13.25-.09.51-.21.76-.37l.54 1.01c-.32.21-.69.39-1.09.53s-.82.21-1.26.21c-.47 0-.92-.08-1.33-.25-.41-.16-.77-.4-1.08-.7-.3-.31-.54-.69-.72-1.13-.17-.44-.26-.95-.26-1.52zm4.61-.62c0-.55-.11-.98-.34-1.28-.23-.31-.58-.47-1.06-.47-.41 0-.77.15-1.08.45-.31.29-.5.73-.57 1.3zm3.01 2.23c.31.24.61.43.92.57.3.13.63.2.98.2.38 0 .65-.08.83-.23s.27-.35.27-.6c0-.14-.05-.26-.13-.37-.08-.1-.2-.2-.34-.28-.14-.09-.29-.16-.47-.23l-.53-.22c-.23-.09-.46-.18-.69-.3-.23-.11-.44-.24-.62-.4s-.33-.35-.45-.55c-.12-.21-.18-.46-.18-.75 0-.61.23-1.1.68-1.49.44-.38 1.06-.57 1.83-.57.48 0 .91.08 1.29.25s.71.36.99.57l-.74.98c-.24-.17-.49-.32-.73-.42-.25-.11-.51-.16-.78-.16-.35 0-.6.07-.76.21-.17.15-.25.33-.25.54 0 .14.04.26.12.36s.18.18.31.26c.14.07.29.14.46.21l.54.19c.23.09.47.18.7.29s.44.24.64.4c.19.16.34.35.46.58.11.23.17.5.17.82 0 .3-.06.58-.17.83-.12.26-.29.48-.51.68-.23.19-.51.34-.84.45-.34.11-.72.17-1.15.17-.48 0-.95-.09-1.41-.27-.46-.19-.86-.41-1.2-.68z" fill="#535353"/></g></svg>"></a></div><div class="c-bibliographic-information__column"><h3 class="c-article__sub-heading" id="citeas">Cite this article</h3><p class="c-bibliographic-information__citation">Yang, H., Zhou, Y., Miao, G. <i>et al.</i> Phonon modes and electron–phonon coupling at the FeSe/SrTiO<sub>3</sub> interface. <i>Nature</i> <b>635</b>, 332–336 (2024). https://doi.org/10.1038/s41586-024-08118-0</p><p class="c-bibliographic-information__download-citation u-hide-print"><a data-test="citation-link" data-track="click" data-track-action="download article citation" data-track-label="link" data-track-external="" rel="nofollow" href="https://citation-needed.springer.com/v2/references/10.1038/s41586-024-08118-0?format=refman&flavour=citation">Download citation<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-download-medium"></use></svg></a></p><ul class="c-bibliographic-information__list" data-test="publication-history"><li class="c-bibliographic-information__list-item"><p>Received<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2024-01-18">18 January 2024</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Accepted<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2024-09-25">25 September 2024</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Published<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2024-10-30">30 October 2024</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Issue Date<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2024-11-14">14 November 2024</time></span></p></li><li class="c-bibliographic-information__list-item c-bibliographic-information__list-item--full-width"><p><abbr title="Digital Object Identifier">DOI</abbr><span class="u-hide">: </span><span class="c-bibliographic-information__value">https://doi.org/10.1038/s41586-024-08118-0</span></p></li></ul><div data-component="share-box"><div class="c-article-share-box u-display-none" hidden=""><h3 class="c-article__sub-heading">Share this article</h3><p class="c-article-share-box__description">Anyone you share the following link with will be able to read this content:</p><button class="js-get-share-url c-article-share-box__button" type="button" id="get-share-url" data-track="click" data-track-label="button" data-track-external="" data-track-action="get shareable link">Get shareable link</button><div class="js-no-share-url-container u-display-none" hidden=""><p class="js-c-article-share-box__no-sharelink-info c-article-share-box__no-sharelink-info">Sorry, a shareable link is not currently available for this article.</p></div><div class="js-share-url-container u-display-none" hidden=""><p class="js-share-url c-article-share-box__only-read-input" id="share-url" data-track="click" data-track-label="button" data-track-action="select share url"></p><button class="js-copy-share-url c-article-share-box__button--link-like" type="button" id="copy-share-url" data-track="click" data-track-label="button" data-track-action="copy share url" data-track-external="">Copy to clipboard</button></div><p class="js-c-article-share-box__additional-info c-article-share-box__additional-info"> Provided by the Springer Nature SharedIt content-sharing initiative </p></div></div><div data-component="article-info-list"></div></div></div></div></div></section> </div> </div> </article> </main> <aside class="c-article-extras u-hide-print" aria-label="Article navigation" data-component-reading-companion data-container-type="reading-companion" data-track-component="reading companion"> <div class="js-context-bar-sticky-point-desktop" data-track-context="reading companion"> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-buy-button"> <a href="#access-options" class="c-article__button c-article__button--inverted" data-test="ra21"> <span>Buy or subscribe</span> </a> </div> </div> </noscript> <div class="c-nature-box__wrapper c-nature-box__wrapper--placeholder"> <div class="c-nature-box c-nature-box--side u-display-none u-hide-print" aria-hidden="true" data-component="entitlement-box" id=entitlement-box-right-column > <p class="c-nature-box__text js-text u-display-none" aria-hidden="true"></p> <div class="js-access-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button" aria-hidden="true" data-test="ra21" data-track="click_institution_login" data-track-context="reading companion" data-track-action="institution access" data-track-label="button"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use xlink:href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-change-institution-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-024-08118-0" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="change institution" data-track-label="button"> <span class="c-article__button-text">Change institution</span> </a> </div> <div class="js-buy-button u-display-none"> <a href="#access-options" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="buy or subscribe" data-track-label="button"> <span>Buy or subscribe</span> </a> </div> </div> </div> </div> <div class="c-reading-companion"> <div class="c-reading-companion__sticky" data-component="reading-companion-sticky" data-test="reading-companion-sticky"> <div class="c-reading-companion__panel c-reading-companion__sections c-reading-companion__panel--active" id="tabpanel-sections"> <div class="u-lazy-ad-wrapper u-mt-16 u-hide" data-component-mpu> <div class="c-ad c-ad--300x250"> <div class="c-ad__inner"> <p class="c-ad__label">Advertisement</p> <div id="div-gpt-ad-right-2" class="div-gpt-ad advert medium-rectangle js-ad text-center hide-print grade-c-hide" data-ad-type="right" data-test="right-ad" data-pa11y-ignore data-gpt data-gpt-unitpath="/285/nature.com/article" data-gpt-sizes="300x250" data-gpt-targeting="type=article;pos=right;artid=s41586-024-08118-0;doi=10.1038/s41586-024-08118-0;subjmeta=1003,119,301,544,639,766;kwrd=Superconducting+properties+and+materials,Surfaces%2C+interfaces+and+thin+films"> <noscript> <a href="//pubads.g.doubleclick.net/gampad/jump?iu=/285/nature.com/article&sz=300x250&c=684745763&t=pos%3Dright%26type%3Darticle%26artid%3Ds41586-024-08118-0%26doi%3D10.1038/s41586-024-08118-0%26subjmeta%3D1003,119,301,544,639,766%26kwrd%3DSuperconducting+properties+and+materials,Surfaces%2C+interfaces+and+thin+films"> <img data-test="gpt-advert-fallback-img" src="//pubads.g.doubleclick.net/gampad/ad?iu=/285/nature.com/article&sz=300x250&c=684745763&t=pos%3Dright%26type%3Darticle%26artid%3Ds41586-024-08118-0%26doi%3D10.1038/s41586-024-08118-0%26subjmeta%3D1003,119,301,544,639,766%26kwrd%3DSuperconducting+properties+and+materials,Surfaces%2C+interfaces+and+thin+films" alt="Advertisement" width="300" height="250"></a> </noscript> </div> </div> </div> </div> </div> <div class="c-reading-companion__panel c-reading-companion__figures c-reading-companion__panel--full-width" id="tabpanel-figures"></div> <div class="c-reading-companion__panel c-reading-companion__references c-reading-companion__panel--full-width" id="tabpanel-references"></div> </div> </div> </aside> </div> <nav class="c-header__dropdown" aria-labelledby="Explore-content" data-test="Explore-content" id="explore" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="Explore-content" class="c-header__heading c-header__heading--js-hide">Explore content</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nature/research-articles" data-track="click" data-track-action="research articles" data-track-label="link" data-test="explore-nav-item"> Research articles </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/news" data-track="click" data-track-action="news" data-track-label="link" data-test="explore-nav-item"> News </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/opinion" data-track="click" data-track-action="opinion" data-track-label="link" data-test="explore-nav-item"> Opinion </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/research-analysis" data-track="click" data-track-action="research analysis" data-track-label="link" data-test="explore-nav-item"> Research Analysis </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/careers" data-track="click" data-track-action="careers" data-track-label="link" data-test="explore-nav-item"> Careers </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/books-culture" data-track="click" data-track-action="books & culture" data-track-label="link" data-test="explore-nav-item"> Books & Culture </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/podcasts" data-track="click" data-track-action="podcasts" data-track-label="link" data-test="explore-nav-item"> Podcasts </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/videos" data-track="click" data-track-action="videos" data-track-label="link" data-test="explore-nav-item"> Videos </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/current-issue" data-track="click" data-track-action="current issue" data-track-label="link" data-test="explore-nav-item"> Current issue </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/browse-issues" data-track="click" data-track-action="browse issues" data-track-label="link" data-test="explore-nav-item"> Browse issues </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/collections" data-track="click" data-track-action="collections" data-track-label="link" data-test="explore-nav-item"> Collections </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/browse-subjects" data-track="click" data-track-action="subjects" data-track-label="link" data-test="explore-nav-item"> Subjects </a> </li> </ul> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="https://www.facebook.com/Nature" data-track="click" data-track-action="facebook" data-track-label="link">Follow us on Facebook </a> </li> <li class="c-header__item"> <a class="c-header__link" href="https://twitter.com/nature" data-track="click" data-track-action="twitter" data-track-label="link">Follow us on Twitter </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a data-test="subscribe-button" class="c-header__link" href="https://www.nature.com/nature/subscribe" data-track="click" data-track-action="subscribe" data-track-label="link"> <span>Subscribe</span> </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a class="c-header__link" href="https://www.nature.com/my-account/alerts/subscribe-journal?list-id=1" rel="nofollow" data-track="click" data-track-action="Sign up for alerts" data-track-external data-track-label="link (mobile dropdown)">Sign up for alerts<svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill="#fff"/></svg> </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a class="c-header__link" href="https://www.nature.com/nature.rss" data-track="click" data-track-action="rss feed" data-track-label="link"> <span>RSS feed</span> </a> </li> </ul> </div> </nav> <nav class="c-header__dropdown" aria-labelledby="About-the-journal" id="about-the-journal" data-test="about-the-journal" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="About-the-journal" class="c-header__heading c-header__heading--js-hide">About the journal</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nature/journal-staff" data-track="click" data-track-action="journal staff" data-track-label="link"> Journal Staff </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/editors" data-track="click" data-track-action="about the editors" data-track-label="link"> About the Editors </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/journal-information" data-track="click" data-track-action="journal information" data-track-label="link"> Journal Information </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/our-publishing-models" data-track="click" data-track-action="our publishing models" data-track-label="link"> Our publishing models </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/editorial-values-statement" data-track="click" data-track-action="editorial values statement" data-track-label="link"> Editorial Values Statement </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/journal-impact" data-track="click" data-track-action="journal metrics" data-track-label="link"> Journal Metrics </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/awards" data-track="click" data-track-action="awards" data-track-label="link"> Awards </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/contact" data-track="click" data-track-action="contact" data-track-label="link"> Contact </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/editorial-policies" data-track="click" data-track-action="editorial policies" data-track-label="link"> Editorial policies </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/history-of-nature" data-track="click" data-track-action="history of nature" data-track-label="link"> History of Nature </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/send-a-news-tip" data-track="click" data-track-action="send a news tip" data-track-label="link"> Send a news tip </a> </li> </ul> </div> </nav> <nav class="c-header__dropdown" aria-labelledby="Publish-with-us-label" id="publish-with-us" data-test="publish-with-us" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="Publish-with-us-label" class="c-header__heading c-header__heading--js-hide">Publish with us</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nature/for-authors" data-track="click" data-track-action="for authors" data-track-label="link"> For Authors </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nature/for-referees" data-track="click" data-track-action="for referees" data-track-label="link"> For Referees </a> </li> <li class="c-header__item"> <a class="c-header__link" data-test="nature-author-services" data-track="nav_language_services" data-track-context="header publish with us dropdown menu" data-track-action="manuscript author services" data-track-label="link manuscript author services" href="https://authorservices.springernature.com/go/sn/?utm_source=For+Authors&utm_medium=Website_Nature&utm_campaign=Platform+Experimentation+2022&utm_id=PE2022"> Language editing services </a> </li> <li class="c-header__item c-header__item--keyline"> <a class="c-header__link" href="https://mts-nature.nature.com/" data-track="click_submit_manuscript" data-track-context="submit link in Nature header dropdown menu" data-track-action="submit manuscript" data-track-label="link (publish with us dropdown menu)" data-track-external data-gtm-criteo="submit-manuscript">Submit manuscript<svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m15 0c1.1045695 0 2 .8954305 2 2v5.5c0 .27614237-.2238576.5-.5.5s-.5-.22385763-.5-.5v-5.5c0-.51283584-.3860402-.93550716-.8833789-.99327227l-.1166211-.00672773h-9v3c0 1.1045695-.8954305 2-2 2h-3v10c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h7.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-7.5c-1.1045695 0-2-.8954305-2-2v-10.17157288c0-.53043297.21071368-1.0391408.58578644-1.41421356l3.82842712-3.82842712c.37507276-.37507276.88378059-.58578644 1.41421356-.58578644zm-.5442863 8.18867991 3.3545404 3.35454039c.2508994.2508994.2538696.6596433.0035959.909917-.2429543.2429542-.6561449.2462671-.9065387-.0089489l-2.2609825-2.3045251.0010427 7.2231989c0 .3569916-.2898381.6371378-.6473715.6371378-.3470771 0-.6473715-.2852563-.6473715-.6371378l-.0010428-7.2231995-2.2611222 2.3046654c-.2531661.2580415-.6562868.2592444-.9065605.0089707-.24295423-.2429542-.24865597-.6576651.0036132-.9099343l3.3546673-3.35466731c.2509089-.25090888.6612706-.25227691.9135302-.00001728zm-.9557137-3.18867991c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm-8.5-3.587-3.587 3.587h2.587c.55228475 0 1-.44771525 1-1zm8.5 1.587c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill="#fff"/></svg> </a> </li> </ul> </div> </nav> <div id="search-menu" class="c-header__dropdown c-header__dropdown--full-width" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 class="c-header__visually-hidden">Search</h2> <form class="c-header__search-form" action="/search" method="get" role="search" autocomplete="off" data-test="inline-search"> <label class="c-header__heading" for="keywords">Search articles by subject, keyword or author</label> <div class="c-header__search-layout c-header__search-layout--max-width"> <div> <input type="text" required="" class="c-header__input" id="keywords" name="q" value=""> </div> <div class="c-header__search-layout"> <div> <label for="results-from" class="c-header__visually-hidden">Show results from</label> <select id="results-from" name="journal" class="c-header__select"> <option value="" selected>All journals</option> <option value="nature">This journal</option> </select> </div> <div> <button type="submit" class="c-header__search-button">Search</button> </div> </div> </div> </form> <div class="c-header__flush"> <a class="c-header__link" href="/search/advanced" data-track="click" data-track-action="advanced search" data-track-label="link"> Advanced search </a> </div> <h3 class="c-header__heading c-header__heading--keyline">Quick links</h3> <ul class="c-header__list"> <li><a class="c-header__link" href="/subjects" data-track="click" data-track-action="explore articles by subject" data-track-label="link">Explore articles by subject</a></li> <li><a class="c-header__link" href="/naturecareers" data-track="click" data-track-action="find a job" data-track-label="link">Find a job</a></li> <li><a class="c-header__link" href="/authors/index.html" data-track="click" data-track-action="guide to authors" data-track-label="link">Guide to authors</a></li> <li><a class="c-header__link" href="/authors/editorial_policies/" data-track="click" data-track-action="editorial policies" data-track-label="link">Editorial policies</a></li> </ul> </div> </div> <footer class="composite-layer" itemscope itemtype="http://schema.org/Periodical"> <meta itemprop="publisher" content="Springer Nature"> <div class="u-mt-16 u-mb-16"> <div class="u-container"> <div class="u-display-flex u-flex-wrap u-justify-content-space-between"> <p class="c-meta u-ma-0 u-flex-shrink"> <span class="c-meta__item"> Nature (<i>Nature</i>) </span> <span class="c-meta__item"> <abbr title="International Standard Serial Number">ISSN</abbr> <span itemprop="onlineIssn">1476-4687</span> (online) </span> <span class="c-meta__item"> <abbr title="International Standard Serial Number">ISSN</abbr> <span itemprop="printIssn">0028-0836</span> (print) </span> </p> </div> </div> </div> <div class="c-footer"> <div class="u-hide-print" data-track-component="footer"> <h2 class="u-visually-hidden">nature.com sitemap</h2> <div class="c-footer__container"> <div class="c-footer__grid c-footer__group--separator"> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">About Nature Portfolio</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/npg_/company_info/index.html" data-track="click" data-track-action="about us" data-track-label="link">About us</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/npg_/press_room/press_releases.html" data-track="click" data-track-action="press releases" data-track-label="link">Press releases</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://press.nature.com/" data-track="click" data-track-action="press office" data-track-label="link">Press office</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://support.nature.com/support/home" data-track="click" data-track-action="contact us" data-track-label="link">Contact us</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Discover content</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/siteindex" data-track="click" data-track-action="journals a-z" data-track-label="link">Journals A-Z</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/subjects" data-track="click" data-track-action="article by subject" data-track-label="link">Articles by subject</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.protocols.io/" data-track="click" data-track-action="protocols.io" data-track-label="link">protocols.io</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.natureindex.com/" data-track="click" data-track-action="nature index" data-track-label="link">Nature Index</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Publishing policies</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/authors/editorial_policies" data-track="click" data-track-action="Nature portfolio policies" data-track-label="link">Nature portfolio policies</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nature-research/open-access" data-track="click" data-track-action="open access" data-track-label="link">Open access</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Author & Researcher services</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/reprints" data-track="click" data-track-action="reprints and permissions" data-track-label="link">Reprints & permissions</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/authors/research-data" data-track="click" data-track-action="data research service" data-track-label="link">Research data</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://authorservices.springernature.com/language-editing/" data-track="click" data-track-action="language editing" data-track-label="link">Language editing</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://authorservices.springernature.com/scientific-editing/" data-track="click" data-track-action="scientific editing" data-track-label="link">Scientific editing</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://masterclasses.nature.com/" data-track="click" data-track-action="nature masterclasses" data-track-label="link">Nature Masterclasses</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://solutions.springernature.com/" data-track="click" data-track-action="research solutions" data-track-label="link">Research Solutions</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Libraries & institutions</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/tools-services" data-track="click" data-track-action="librarian service and tools" data-track-label="link">Librarian service & tools</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/manage-your-account/librarianportal" data-track="click" data-track-action="librarian portal" data-track-label="link">Librarian portal</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/openresearch/about-open-access/information-for-institutions" data-track="click" data-track-action="open research" data-track-label="link">Open research</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/recommend-to-your-library" data-track="click" data-track-action="Recommend to library" data-track-label="link">Recommend to library</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Advertising & partnerships</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/product/digital-advertising/" data-track="click" data-track-action="advertising" data-track-label="link">Advertising</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/" data-track="click" data-track-action="partnerships and services" data-track-label="link">Partnerships & Services</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/media-kits/" data-track="click" data-track-action="media kits" data-track-label="link">Media kits</a> </li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/product/branded-content-native-advertising/" data-track-action="branded content" data-track-label="link">Branded content</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Professional development</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/naturecareers/" data-track="click" data-track-action="nature careers" data-track-label="link">Nature Careers</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://conferences.nature.com" data-track="click" data-track-action="nature conferences" data-track-label="link">Nature<span class="u-visually-hidden"> </span> Conferences</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Regional websites</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/natafrica" data-track="click" data-track-action="nature africa" data-track-label="link">Nature Africa</a></li> <li class="c-footer__item"><a class="c-footer__link" href="http://www.naturechina.com" data-track="click" data-track-action="nature china" data-track-label="link">Nature China</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nindia" data-track="click" data-track-action="nature india" data-track-label="link">Nature India</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/natitaly" data-track="click" data-track-action="nature Italy" data-track-label="link">Nature Italy</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.natureasia.com/ja-jp" data-track="click" data-track-action="nature japan" data-track-label="link">Nature Japan</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nmiddleeast" data-track="click" data-track-action="nature middle east" data-track-label="link">Nature Middle East</a></li> </ul> </div> </div> </div> <div class="c-footer__container"> <ul class="c-footer__links"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/privacy" data-track="click" data-track-action="privacy policy" data-track-label="link">Privacy Policy</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/cookies" data-track="click" data-track-action="use of cookies" data-track-label="link">Use of cookies</a></li> <li class="c-footer__item"> <button class="optanon-toggle-display c-footer__link" onclick="javascript:;" data-cc-action="preferences" data-track="click" data-track-action="manage cookies" data-track-label="link">Your privacy choices/Manage cookies </button> </li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/legal-notice" data-track="click" data-track-action="legal notice" data-track-label="link">Legal notice</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/accessibility-statement" data-track="click" data-track-action="accessibility statement" data-track-label="link">Accessibility statement</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/terms-and-conditions" data-track="click" data-track-action="terms and conditions" data-track-label="link">Terms & Conditions</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/ccpa" data-track="click" data-track-action="california privacy statement" data-track-label="link">Your US state privacy rights</a></li> </ul> </div> </div> <div class="c-footer__container"> <a href="https://www.springernature.com/" class="c-footer__link"> <img src="/static/images/logos/sn-logo-white-ea63208b81.svg" alt="Springer Nature" loading="lazy" width="200" height="20"/> </a> <p class="c-footer__legal" data-test="copyright">© 2025 Springer Nature Limited</p> </div> </div> <div class="u-visually-hidden" aria-hidden="true"> <?xml version="1.0" encoding="UTF-8"?><!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><defs><path id="a" d="M0 .74h56.72v55.24H0z"/></defs><symbol id="icon-access" viewBox="0 0 18 18"><path d="m14 8c.5522847 0 1 .44771525 1 1v7h2.5c.2761424 0 .5.2238576.5.5v1.5h-18v-1.5c0-.2761424.22385763-.5.5-.5h2.5v-7c0-.55228475.44771525-1 1-1s1 .44771525 1 1v6.9996556h8v-6.9996556c0-.55228475.4477153-1 1-1zm-8 0 2 1v5l-2 1zm6 0v7l-2-1v-5zm-2.42653766-7.59857636 7.03554716 4.92488299c.4162533.29137735.5174853.86502537.226108 1.28127873-.1721584.24594054-.4534847.39241464-.7536934.39241464h-14.16284822c-.50810197 0-.92-.41189803-.92-.92 0-.30020869.1464741-.58153499.39241464-.75369337l7.03554714-4.92488299c.34432015-.2410241.80260453-.2410241 1.14692468 0zm-.57346234 2.03988748-3.65526982 2.55868888h7.31053962z" fill-rule="evenodd"/></symbol><symbol id="icon-account" viewBox="0 0 18 18"><path d="m10.2379028 16.9048051c1.3083556-.2032362 2.5118471-.7235183 3.5294683-1.4798399-.8731327-2.5141501-2.0638925-3.935978-3.7673711-4.3188248v-1.27684611c1.1651924-.41183641 2-1.52307546 2-2.82929429 0-1.65685425-1.3431458-3-3-3-1.65685425 0-3 1.34314575-3 3 0 1.30621883.83480763 2.41745788 2 2.82929429v1.27684611c-1.70347856.3828468-2.89423845 1.8046747-3.76737114 4.3188248 1.01762123.7563216 2.22111275 1.2766037 3.52946833 1.4798399.40563808.0629726.81921174.0951949 1.23790281.0951949s.83226473-.0322223 1.2379028-.0951949zm4.3421782-2.1721994c1.4927655-1.4532925 2.419919-3.484675 2.419919-5.7326057 0-4.418278-3.581722-8-8-8s-8 3.581722-8 8c0 2.2479307.92715352 4.2793132 2.41991895 5.7326057.75688473-2.0164459 1.83949951-3.6071894 3.48926591-4.3218837-1.14534283-.70360829-1.90918486-1.96796271-1.90918486-3.410722 0-2.209139 1.790861-4 4-4s4 1.790861 4 4c0 1.44275929-.763842 2.70711371-1.9091849 3.410722 1.6497664.7146943 2.7323812 2.3054378 3.4892659 4.3218837zm-5.580081 3.2673943c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-alert" viewBox="0 0 18 18"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-broad" viewBox="0 0 16 16"><path d="m6.10307866 2.97190702v7.69043288l2.44965196-2.44676915c.38776071-.38730439 1.0088052-.39493524 1.38498697-.01919617.38609051.38563612.38643641 1.01053024-.00013864 1.39665039l-4.12239817 4.11754683c-.38616704.3857126-1.01187344.3861062-1.39846576-.0000311l-4.12258206-4.11773056c-.38618426-.38572979-.39254614-1.00476697-.01636437-1.38050605.38609047-.38563611 1.01018509-.38751562 1.4012233.00306241l2.44985644 2.4469734v-8.67638639c0-.54139983.43698413-.98042709.98493125-.98159081l7.89910522-.0043627c.5451687 0 .9871152.44142642.9871152.98595351s-.4419465.98595351-.9871152.98595351z" fill-rule="evenodd" transform="matrix(-1 0 0 -1 14 15)"/></symbol><symbol id="icon-arrow-down" viewBox="0 0 16 16"><path d="m3.28337502 11.5302405 4.03074001 4.176208c.37758093.3912076.98937525.3916069 1.367372-.0000316l4.03091977-4.1763942c.3775978-.3912252.3838182-1.0190815.0160006-1.4001736-.3775061-.39113013-.9877245-.39303641-1.3700683.003106l-2.39538585 2.4818345v-11.6147896l-.00649339-.11662112c-.055753-.49733869-.46370161-.88337888-.95867408-.88337888-.49497246 0-.90292107.38604019-.95867408.88337888l-.00649338.11662112v11.6147896l-2.39518594-2.4816273c-.37913917-.39282218-.98637524-.40056175-1.35419292-.0194697-.37750607.3911302-.37784433 1.0249269.00013556 1.4165479z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-left" viewBox="0 0 16 16"><path d="m4.46975946 3.28337502-4.17620792 4.03074001c-.39120768.37758093-.39160691.98937525.0000316 1.367372l4.1763942 4.03091977c.39122514.3775978 1.01908149.3838182 1.40017357.0160006.39113012-.3775061.3930364-.9877245-.00310603-1.3700683l-2.48183446-2.39538585h11.61478958l.1166211-.00649339c.4973387-.055753.8833789-.46370161.8833789-.95867408 0-.49497246-.3860402-.90292107-.8833789-.95867408l-.1166211-.00649338h-11.61478958l2.4816273-2.39518594c.39282216-.37913917.40056173-.98637524.01946965-1.35419292-.39113012-.37750607-1.02492687-.37784433-1.41654791.00013556z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-right" viewBox="0 0 16 16"><path d="m11.5302405 12.716625 4.176208-4.03074003c.3912076-.37758093.3916069-.98937525-.0000316-1.367372l-4.1763942-4.03091981c-.3912252-.37759778-1.0190815-.38381821-1.4001736-.01600053-.39113013.37750607-.39303641.98772445.003106 1.37006824l2.4818345 2.39538588h-11.6147896l-.11662112.00649339c-.49733869.055753-.88337888.46370161-.88337888.95867408 0 .49497246.38604019.90292107.88337888.95867408l.11662112.00649338h11.6147896l-2.4816273 2.39518592c-.39282218.3791392-.40056175.9863753-.0194697 1.3541929.3911302.3775061 1.0249269.3778444 1.4165479-.0001355z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-sub" viewBox="0 0 16 16"><path d="m7.89692134 4.97190702v7.69043288l-2.44965196-2.4467692c-.38776071-.38730434-1.0088052-.39493519-1.38498697-.0191961-.38609047.3856361-.38643643 1.0105302.00013864 1.3966504l4.12239817 4.1175468c.38616704.3857126 1.01187344.3861062 1.39846576-.0000311l4.12258202-4.1177306c.3861843-.3857298.3925462-1.0047669.0163644-1.380506-.3860905-.38563612-1.0101851-.38751563-1.4012233.0030624l-2.44985643 2.4469734v-8.67638639c0-.54139983-.43698413-.98042709-.98493125-.98159081l-7.89910525-.0043627c-.54516866 0-.98711517.44142642-.98711517.98595351s.44194651.98595351.98711517.98595351z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-up" viewBox="0 0 16 16"><path d="m12.716625 4.46975946-4.03074003-4.17620792c-.37758093-.39120768-.98937525-.39160691-1.367372.0000316l-4.03091981 4.1763942c-.37759778.39122514-.38381821 1.01908149-.01600053 1.40017357.37750607.39113012.98772445.3930364 1.37006824-.00310603l2.39538588-2.48183446v11.61478958l.00649339.1166211c.055753.4973387.46370161.8833789.95867408.8833789.49497246 0 .90292107-.3860402.95867408-.8833789l.00649338-.1166211v-11.61478958l2.39518592 2.4816273c.3791392.39282216.9863753.40056173 1.3541929.01946965.3775061-.39113012.3778444-1.02492687-.0001355-1.41654791z" fill-rule="evenodd"/></symbol><symbol id="icon-article" viewBox="0 0 18 18"><path d="m13 15v-12.9906311c0-.0073595-.0019884-.0093689.0014977-.0093689l-11.00158888.00087166v13.00506804c0 .5482678.44615281.9940603.99415146.9940603h10.27350412c-.1701701-.2941734-.2675644-.6357129-.2675644-1zm-12 .0059397v-13.00506804c0-.5562408.44704472-1.00087166.99850233-1.00087166h11.00299537c.5510129 0 .9985023.45190985.9985023 1.0093689v2.9906311h3v9.9914698c0 1.1065798-.8927712 2.0085302-1.9940603 2.0085302h-12.01187942c-1.09954652 0-1.99406028-.8927712-1.99406028-1.9940603zm13-9.0059397v9c0 .5522847.4477153 1 1 1s1-.4477153 1-1v-9zm-10-2h7v4h-7zm1 1v2h5v-2zm-1 4h7v1h-7zm0 2h7v1h-7zm0 2h7v1h-7z" fill-rule="evenodd"/></symbol><symbol id="icon-audio" viewBox="0 0 18 18"><path d="m13.0957477 13.5588459c-.195279.1937043-.5119137.193729-.7072234.0000551-.1953098-.193674-.1953346-.5077061-.0000556-.7014104 1.0251004-1.0168342 1.6108711-2.3905226 1.6108711-3.85745208 0-1.46604976-.5850634-2.83898246-1.6090736-3.85566829-.1951894-.19379323-.1950192-.50782531.0003802-.70141028.1953993-.19358497.512034-.19341614.7072234.00037709 1.2094886 1.20083761 1.901635 2.8250555 1.901635 4.55670148 0 1.73268608-.6929822 3.35779608-1.9037571 4.55880738zm2.1233994 2.1025159c-.195234.193749-.5118687.1938462-.7072235.0002171-.1953548-.1936292-.1954528-.5076613-.0002189-.7014104 1.5832215-1.5711805 2.4881302-3.6939808 2.4881302-5.96012998 0-2.26581266-.9046382-4.3883241-2.487443-5.95944795-.1952117-.19377107-.1950777-.50780316.0002993-.70141031s.5120117-.19347426.7072234.00029682c1.7683321 1.75528196 2.7800854 4.12911258 2.7800854 6.66056144 0 2.53182498-1.0120556 4.90597838-2.7808529 6.66132328zm-14.21898205-3.6854911c-.5523759 0-1.00016505-.4441085-1.00016505-.991944v-3.96777631c0-.54783558.44778915-.99194407 1.00016505-.99194407h2.0003301l5.41965617-3.8393633c.44948677-.31842296 1.07413994-.21516983 1.39520191.23062232.12116339.16823446.18629727.36981184.18629727.57655577v12.01603479c0 .5478356-.44778914.9919441-1.00016505.9919441-.20845738 0-.41170538-.0645985-.58133413-.184766l-5.41965617-3.8393633zm0-.991944h2.32084805l5.68047235 4.0241292v-12.01603479l-5.68047235 4.02412928h-2.32084805z" fill-rule="evenodd"/></symbol><symbol id="icon-block" viewBox="0 0 24 24"><path d="m0 0h24v24h-24z" fill-rule="evenodd"/></symbol><symbol id="icon-book" viewBox="0 0 18 18"><path d="m4 13v-11h1v11h11v-11h-13c-.55228475 0-1 .44771525-1 1v10.2675644c.29417337-.1701701.63571286-.2675644 1-.2675644zm12 1h-13c-.55228475 0-1 .4477153-1 1s.44771525 1 1 1h13zm0 3h-13c-1.1045695 0-2-.8954305-2-2v-12c0-1.1045695.8954305-2 2-2h13c.5522847 0 1 .44771525 1 1v14c0 .5522847-.4477153 1-1 1zm-8.5-13h6c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm1 2h4c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-4c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-broad" viewBox="0 0 24 24"><path d="m9.18274226 7.81v7.7999954l2.48162734-2.4816273c.3928221-.3928221 1.0219731-.4005617 1.4030652-.0194696.3911301.3911301.3914806 1.0249268-.0001404 1.4165479l-4.17620796 4.1762079c-.39120769.3912077-1.02508144.3916069-1.41671995-.0000316l-4.1763942-4.1763942c-.39122514-.3912251-.39767006-1.0190815-.01657798-1.4001736.39113012-.3911301 1.02337106-.3930364 1.41951349.0031061l2.48183446 2.4818344v-8.7999954c0-.54911294.4426881-.99439484.99778758-.99557515l8.00221246-.00442485c.5522847 0 1 .44771525 1 1s-.4477153 1-1 1z" fill-rule="evenodd" transform="matrix(-1 0 0 -1 20.182742 24.805206)"/></symbol><symbol id="icon-calendar" viewBox="0 0 18 18"><path d="m12.5 0c.2761424 0 .5.21505737.5.49047852v.50952148h2c1.1072288 0 2 .89451376 2 2v12c0 1.1072288-.8945138 2-2 2h-12c-1.1072288 0-2-.8945138-2-2v-12c0-1.1072288.89451376-2 2-2h1v1h-1c-.55393837 0-1 .44579254-1 1v3h14v-3c0-.55393837-.4457925-1-1-1h-2v1.50952148c0 .27088381-.2319336.49047852-.5.49047852-.2761424 0-.5-.21505737-.5-.49047852v-3.01904296c0-.27088381.2319336-.49047852.5-.49047852zm3.5 7h-14v8c0 .5539384.44579254 1 1 1h12c.5539384 0 1-.4457925 1-1zm-11 6v1h-1v-1zm3 0v1h-1v-1zm3 0v1h-1v-1zm-6-2v1h-1v-1zm3 0v1h-1v-1zm6 0v1h-1v-1zm-3 0v1h-1v-1zm-3-2v1h-1v-1zm6 0v1h-1v-1zm-3 0v1h-1v-1zm-5.5-9c.27614237 0 .5.21505737.5.49047852v.50952148h5v1h-5v1.50952148c0 .27088381-.23193359.49047852-.5.49047852-.27614237 0-.5-.21505737-.5-.49047852v-3.01904296c0-.27088381.23193359-.49047852.5-.49047852z" fill-rule="evenodd"/></symbol><symbol id="icon-cart" viewBox="0 0 18 18"><path d="m5 14c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm10 0c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm-10 1c-.55228475 0-1 .4477153-1 1s.44771525 1 1 1 1-.4477153 1-1-.44771525-1-1-1zm10 0c-.5522847 0-1 .4477153-1 1s.4477153 1 1 1 1-.4477153 1-1-.4477153-1-1-1zm-12.82032249-15c.47691417 0 .88746157.33678127.98070211.80449199l.23823144 1.19501025 13.36277974.00045554c.5522847.00001882.9999659.44774934.9999659 1.00004222 0 .07084994-.0075361.14150708-.022474.2107727l-1.2908094 5.98534344c-.1007861.46742419-.5432548.80388386-1.0571651.80388386h-10.24805106c-.59173366 0-1.07142857.4477153-1.07142857 1 0 .5128358.41361449.9355072.94647737.9932723l.1249512.0067277h10.35933776c.2749512 0 .4979349.2228539.4979349.4978051 0 .2749417-.2227336.4978951-.4976753.4980063l-10.35959736.0041886c-1.18346732 0-2.14285714-.8954305-2.14285714-2 0-.6625717.34520317-1.24989198.87690425-1.61383592l-1.63768102-8.19004794c-.01312273-.06561364-.01950005-.131011-.0196107-.19547395l-1.71961253-.00064219c-.27614237 0-.5-.22385762-.5-.5 0-.27614237.22385763-.5.5-.5zm14.53193359 2.99950224h-13.11300004l1.20580469 6.02530174c.11024034-.0163252.22327998-.02480398.33844139-.02480398h10.27064786z"/></symbol><symbol id="icon-chevron-less" viewBox="0 0 10 10"><path d="m5.58578644 4-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" fill-rule="evenodd" transform="matrix(0 -1 -1 0 9 9)"/></symbol><symbol id="icon-chevron-more" viewBox="0 0 10 10"><path d="m5.58578644 6-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4.00000002c-.39052429.3905243-1.02368927.3905243-1.41421356 0s-.39052429-1.02368929 0-1.41421358z" fill-rule="evenodd" transform="matrix(0 1 -1 0 11 1)"/></symbol><symbol id="icon-chevron-right" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-circle-fill" viewBox="0 0 16 16"><path d="m8 14c-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6 6 2.6862915 6 6-2.6862915 6-6 6z" fill-rule="evenodd"/></symbol><symbol id="icon-circle" viewBox="0 0 16 16"><path d="m8 12c2.209139 0 4-1.790861 4-4s-1.790861-4-4-4-4 1.790861-4 4 1.790861 4 4 4zm0 2c-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6 6 2.6862915 6 6-2.6862915 6-6 6z" fill-rule="evenodd"/></symbol><symbol id="icon-citation" viewBox="0 0 18 18"><path d="m8.63593473 5.99995183c2.20913897 0 3.99999997 1.79084375 3.99999997 3.99996146 0 1.40730761-.7267788 2.64486871-1.8254829 3.35783281 1.6240224.6764218 2.8754442 2.0093871 3.4610603 3.6412466l-1.0763845.000006c-.5310008-1.2078237-1.5108121-2.1940153-2.7691712-2.7181346l-.79002167-.329052v-1.023992l.63016577-.4089232c.8482885-.5504661 1.3698342-1.4895187 1.3698342-2.51898361 0-1.65683828-1.3431457-2.99996146-2.99999997-2.99996146-1.65685425 0-3 1.34312318-3 2.99996146 0 1.02946491.52154569 1.96851751 1.36983419 2.51898361l.63016581.4089232v1.023992l-.79002171.329052c-1.25835905.5241193-2.23817037 1.5103109-2.76917113 2.7181346l-1.07638453-.000006c.58561612-1.6318595 1.8370379-2.9648248 3.46106024-3.6412466-1.09870405-.7129641-1.82548287-1.9505252-1.82548287-3.35783281 0-2.20911771 1.790861-3.99996146 4-3.99996146zm7.36897597-4.99995183c1.1018574 0 1.9950893.89353404 1.9950893 2.00274083v5.994422c0 1.10608317-.8926228 2.00274087-1.9950893 2.00274087l-3.0049107-.0009037v-1l3.0049107.00091329c.5490631 0 .9950893-.44783123.9950893-1.00275046v-5.994422c0-.55646537-.4450595-1.00275046-.9950893-1.00275046h-14.00982141c-.54906309 0-.99508929.44783123-.99508929 1.00275046v5.9971821c0 .66666024.33333333.99999036 1 .99999036l2-.00091329v1l-2 .0009037c-1 0-2-.99999041-2-1.99998077v-5.9971821c0-1.10608322.8926228-2.00274083 1.99508929-2.00274083zm-8.5049107 2.9999711c.27614237 0 .5.22385547.5.5 0 .2761349-.22385763.5-.5.5h-4c-.27614237 0-.5-.2238651-.5-.5 0-.27614453.22385763-.5.5-.5zm3 0c.2761424 0 .5.22385547.5.5 0 .2761349-.2238576.5-.5.5h-1c-.27614237 0-.5-.2238651-.5-.5 0-.27614453.22385763-.5.5-.5zm4 0c.2761424 0 .5.22385547.5.5 0 .2761349-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238651-.5-.5 0-.27614453.2238576-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-close" viewBox="0 0 16 16"><path d="m2.29679575 12.2772478c-.39658757.3965876-.39438847 1.0328109-.00062148 1.4265779.39651227.3965123 1.03246768.3934888 1.42657791-.0006214l4.27724782-4.27724787 4.2772478 4.27724787c.3965876.3965875 1.0328109.3943884 1.4265779.0006214.3965123-.3965122.3934888-1.0324677-.0006214-1.4265779l-4.27724787-4.2772478 4.27724787-4.27724782c.3965875-.39658757.3943884-1.03281091.0006214-1.42657791-.3965122-.39651226-1.0324677-.39348875-1.4265779.00062148l-4.2772478 4.27724782-4.27724782-4.27724782c-.39658757-.39658757-1.03281091-.39438847-1.42657791-.00062148-.39651226.39651227-.39348875 1.03246768.00062148 1.42657791l4.27724782 4.27724782z" fill-rule="evenodd"/></symbol><symbol id="icon-collections" viewBox="0 0 18 18"><path d="m15 4c1.1045695 0 2 .8954305 2 2v9c0 1.1045695-.8954305 2-2 2h-8c-1.1045695 0-2-.8954305-2-2h1c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h8c.5128358 0 .9355072-.3860402.9932723-.8833789l.0067277-.1166211v-9c0-.51283584-.3860402-.93550716-.8833789-.99327227l-.1166211-.00672773h-1v-1zm-4-3c1.1045695 0 2 .8954305 2 2v9c0 1.1045695-.8954305 2-2 2h-8c-1.1045695 0-2-.8954305-2-2v-9c0-1.1045695.8954305-2 2-2zm0 1h-8c-.51283584 0-.93550716.38604019-.99327227.88337887l-.00672773.11662113v9c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h8c.5128358 0 .9355072-.3860402.9932723-.8833789l.0067277-.1166211v-9c0-.51283584-.3860402-.93550716-.8833789-.99327227zm-1.5 7c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm0-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm0-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-compare" viewBox="0 0 18 18"><path d="m12 3c3.3137085 0 6 2.6862915 6 6s-2.6862915 6-6 6c-1.0928452 0-2.11744941-.2921742-2.99996061-.8026704-.88181407.5102749-1.90678042.8026704-3.00003939.8026704-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6c1.09325897 0 2.11822532.29239547 3.00096303.80325037.88158756-.51107621 1.90619177-.80325037 2.99903697-.80325037zm-6 1c-2.76142375 0-5 2.23857625-5 5 0 2.7614237 2.23857625 5 5 5 .74397391 0 1.44999672-.162488 2.08451611-.4539116-1.27652344-1.1000812-2.08451611-2.7287264-2.08451611-4.5460884s.80799267-3.44600721 2.08434391-4.5463015c-.63434719-.29121054-1.34037-.4536985-2.08434391-.4536985zm6 0c-.7439739 0-1.4499967.16248796-2.08451611.45391156 1.27652341 1.10008123 2.08451611 2.72872644 2.08451611 4.54608844s-.8079927 3.4460072-2.08434391 4.5463015c.63434721.2912105 1.34037001.4536985 2.08434391.4536985 2.7614237 0 5-2.2385763 5-5 0-2.76142375-2.2385763-5-5-5zm-1.4162763 7.0005324h-3.16744736c.15614659.3572676.35283837.6927622.58425872 1.0006671h1.99892988c.23142036-.3079049.42811216-.6433995.58425876-1.0006671zm.4162763-2.0005324h-4c0 .34288501.0345146.67770871.10025909 1.0011864h3.79948181c.0657445-.32347769.1002591-.65830139.1002591-1.0011864zm-.4158423-1.99953894h-3.16831543c-.13859957.31730812-.24521946.651783-.31578599.99935097h3.79988742c-.0705665-.34756797-.1771864-.68204285-.315786-.99935097zm-1.58295822-1.999926-.08316107.06199199c-.34550042.27081213-.65446126.58611297-.91825862.93727862h2.00044041c-.28418626-.37830727-.6207872-.71499149-.99902072-.99927061z" fill-rule="evenodd"/></symbol><symbol id="icon-download-file" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm0 1h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v14.00982141c0 .5500396.44491393.9950893.99406028.9950893h12.01187942c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717zm-1.5046024 4c.27614237 0 .5.21637201.5.49209595v6.14827645l1.7462789-1.77990922c.1933927-.1971171.5125222-.19455839.7001689-.0069117.1932998.19329992.1910058.50899492-.0027774.70277812l-2.59089271 2.5908927c-.19483374.1948337-.51177825.1937771-.70556873-.0000133l-2.59099079-2.5909908c-.19484111-.1948411-.19043735-.5151448-.00279066-.70279146.19329987-.19329987.50465175-.19237083.70018565.00692852l1.74638684 1.78001764v-6.14827695c0-.27177709.23193359-.49209595.5-.49209595z" fill-rule="evenodd"/></symbol><symbol id="icon-download" viewBox="0 0 16 16"><path d="m12.9975267 12.999368c.5467123 0 1.0024733.4478567 1.0024733 1.000316 0 .5563109-.4488226 1.000316-1.0024733 1.000316h-9.99505341c-.54671233 0-1.00247329-.4478567-1.00247329-1.000316 0-.5563109.44882258-1.000316 1.00247329-1.000316zm-4.9975267-11.999368c.55228475 0 1 .44497754 1 .99589209v6.80214418l2.4816273-2.48241149c.3928222-.39294628 1.0219732-.4006883 1.4030652-.01947579.3911302.39125371.3914806 1.02525073-.0001404 1.41699553l-4.17620792 4.17752758c-.39120769.3913313-1.02508144.3917306-1.41671995-.0000316l-4.17639421-4.17771394c-.39122513-.39134876-.39767006-1.01940351-.01657797-1.40061601.39113012-.39125372 1.02337105-.3931606 1.41951349.00310701l2.48183446 2.48261871v-6.80214418c0-.55001601.44386482-.99589209 1-.99589209z" fill-rule="evenodd"/></symbol><symbol id="icon-editors" viewBox="0 0 18 18"><path d="m8.72592184 2.54588137c-.48811714-.34391207-1.08343326-.54588137-1.72592184-.54588137-1.65685425 0-3 1.34314575-3 3 0 1.02947485.5215457 1.96853646 1.3698342 2.51900785l.6301658.40892721v1.02400182l-.79002171.32905522c-1.93395773.8055207-3.20997829 2.7024791-3.20997829 4.8180274v.9009805h-1v-.9009805c0-2.5479714 1.54557359-4.79153984 3.82548288-5.7411543-1.09870406-.71297106-1.82548288-1.95054399-1.82548288-3.3578652 0-2.209139 1.790861-4 4-4 1.09079823 0 2.07961816.43662103 2.80122451 1.1446278-.37707584.09278571-.7373238.22835063-1.07530267.40125357zm-2.72592184 14.45411863h-1v-.9009805c0-2.5479714 1.54557359-4.7915398 3.82548288-5.7411543-1.09870406-.71297106-1.82548288-1.95054399-1.82548288-3.3578652 0-2.209139 1.790861-4 4-4s4 1.790861 4 4c0 1.40732121-.7267788 2.64489414-1.8254829 3.3578652 2.2799093.9496145 3.8254829 3.1931829 3.8254829 5.7411543v.9009805h-1v-.9009805c0-2.1155483-1.2760206-4.0125067-3.2099783-4.8180274l-.7900217-.3290552v-1.02400184l.6301658-.40892721c.8482885-.55047139 1.3698342-1.489533 1.3698342-2.51900785 0-1.65685425-1.3431458-3-3-3-1.65685425 0-3 1.34314575-3 3 0 1.02947485.5215457 1.96853646 1.3698342 2.51900785l.6301658.40892721v1.02400184l-.79002171.3290552c-1.93395773.8055207-3.20997829 2.7024791-3.20997829 4.8180274z" fill-rule="evenodd"/></symbol><symbol id="icon-email" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587h-14.00982141c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm0 1h-14.00982141c-.54871518 0-.99508929.44887827-.99508929 1.00585866v9.98828264c0 .5572961.44630695 1.0058587.99508929 1.0058587h14.00982141c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-.0049107 2.55749512v1.44250488l-7 4-7-4v-1.44250488l7 4z" fill-rule="evenodd"/></symbol><symbol id="icon-error" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm2.8630343 4.71100931-2.8630343 2.86303426-2.86303426-2.86303426c-.39658757-.39658757-1.03281091-.39438847-1.4265779-.00062147-.39651227.39651226-.39348876 1.03246767.00062147 1.4265779l2.86303426 2.86303426-2.86303426 2.8630343c-.39658757.3965875-.39438847 1.0328109-.00062147 1.4265779.39651226.3965122 1.03246767.3934887 1.4265779-.0006215l2.86303426-2.8630343 2.8630343 2.8630343c.3965875.3965876 1.0328109.3943885 1.4265779.0006215.3965122-.3965123.3934887-1.0324677-.0006215-1.4265779l-2.8630343-2.8630343 2.8630343-2.86303426c.3965876-.39658757.3943885-1.03281091.0006215-1.4265779-.3965123-.39651227-1.0324677-.39348876-1.4265779.00062147z" fill-rule="evenodd"/></symbol><symbol id="icon-ethics" viewBox="0 0 18 18"><path d="m6.76384967 1.41421356.83301651-.8330165c.77492941-.77492941 2.03133823-.77492941 2.80626762 0l.8330165.8330165c.3750728.37507276.8837806.58578644 1.4142136.58578644h1.3496361c1.1045695 0 2 .8954305 2 2v1.34963611c0 .53043298.2107137 1.03914081.5857864 1.41421356l.8330165.83301651c.7749295.77492941.7749295 2.03133823 0 2.80626762l-.8330165.8330165c-.3750727.3750728-.5857864.8837806-.5857864 1.4142136v1.3496361c0 1.1045695-.8954305 2-2 2h-1.3496361c-.530433 0-1.0391408.2107137-1.4142136.5857864l-.8330165.8330165c-.77492939.7749295-2.03133821.7749295-2.80626762 0l-.83301651-.8330165c-.37507275-.3750727-.88378058-.5857864-1.41421356-.5857864h-1.34963611c-1.1045695 0-2-.8954305-2-2v-1.3496361c0-.530433-.21071368-1.0391408-.58578644-1.4142136l-.8330165-.8330165c-.77492941-.77492939-.77492941-2.03133821 0-2.80626762l.8330165-.83301651c.37507276-.37507275.58578644-.88378058.58578644-1.41421356v-1.34963611c0-1.1045695.8954305-2 2-2h1.34963611c.53043298 0 1.03914081-.21071368 1.41421356-.58578644zm-1.41421356 1.58578644h-1.34963611c-.55228475 0-1 .44771525-1 1v1.34963611c0 .79564947-.31607052 1.55871121-.87867966 2.12132034l-.8330165.83301651c-.38440512.38440512-.38440512 1.00764896 0 1.39205408l.8330165.83301646c.56260914.5626092.87867966 1.3256709.87867966 2.1213204v1.3496361c0 .5522847.44771525 1 1 1h1.34963611c.79564947 0 1.55871121.3160705 2.12132034.8786797l.83301651.8330165c.38440512.3844051 1.00764896.3844051 1.39205408 0l.83301646-.8330165c.5626092-.5626092 1.3256709-.8786797 2.1213204-.8786797h1.3496361c.5522847 0 1-.4477153 1-1v-1.3496361c0-.7956495.3160705-1.5587112.8786797-2.1213204l.8330165-.83301646c.3844051-.38440512.3844051-1.00764896 0-1.39205408l-.8330165-.83301651c-.5626092-.56260913-.8786797-1.32567087-.8786797-2.12132034v-1.34963611c0-.55228475-.4477153-1-1-1h-1.3496361c-.7956495 0-1.5587112-.31607052-2.1213204-.87867966l-.83301646-.8330165c-.38440512-.38440512-1.00764896-.38440512-1.39205408 0l-.83301651.8330165c-.56260913.56260914-1.32567087.87867966-2.12132034.87867966zm3.58698944 11.4960218c-.02081224.002155-.04199226.0030286-.06345763.002542-.98766446-.0223875-1.93408568-.3063547-2.75885125-.8155622-.23496767-.1450683-.30784554-.4531483-.16277726-.688116.14506827-.2349677.45314827-.3078455.68811595-.1627773.67447084.4164161 1.44758575.6483839 2.25617384.6667123.01759529.0003988.03495764.0017019.05204365.0038639.01713363-.0017748.03452416-.0026845.05212715-.0026845 2.4852814 0 4.5-2.0147186 4.5-4.5 0-1.04888973-.3593547-2.04134635-1.0074477-2.83787157-.1742817-.21419731-.1419238-.5291218.0722736-.70340353.2141973-.17428173.5291218-.14192375.7034035.07227357.7919032.97327203 1.2317706 2.18808682 1.2317706 3.46900153 0 3.0375661-2.4624339 5.5-5.5 5.5-.02146768 0-.04261937-.0013529-.06337445-.0039782zm1.57975095-10.78419583c.2654788.07599731.419084.35281842.3430867.61829728-.0759973.26547885-.3528185.419084-.6182973.3430867-.37560116-.10752146-.76586237-.16587951-1.15568824-.17249193-2.5587807-.00064534-4.58547766 2.00216524-4.58547766 4.49928198 0 .62691557.12797645 1.23496.37274865 1.7964426.11035133.2531347-.0053975.5477984-.25853224.6581497-.25313473.1103514-.54779841-.0053975-.65814974-.2585322-.29947131-.6869568-.45606667-1.43097603-.45606667-2.1960601 0-3.05211432 2.47714695-5.50006595 5.59399617-5.49921198.48576182.00815502.96289603.0795037 1.42238033.21103795zm-1.9766658 6.41091303 2.69835-2.94655317c.1788432-.21040373.4943901-.23598862.7047939-.05714545.2104037.17884318.2359886.49439014.0571454.70479387l-3.01637681 3.34277395c-.18039088.1999106-.48669547.2210637-.69285412.0478478l-1.93095347-1.62240047c-.21213845-.17678204-.24080048-.49206439-.06401844-.70420284.17678204-.21213844.49206439-.24080048.70420284-.06401844z" fill-rule="evenodd"/></symbol><symbol id="icon-expand"><path d="M7.498 11.918a.997.997 0 0 0-.003-1.411.995.995 0 0 0-1.412-.003l-4.102 4.102v-3.51A1 1 0 0 0 .98 10.09.992.992 0 0 0 0 11.092V17c0 .554.448 1.002 1.002 1.002h5.907c.554 0 1.002-.45 1.002-1.003 0-.539-.45-.978-1.006-.978h-3.51zm3.005-5.835a.997.997 0 0 0 .003 1.412.995.995 0 0 0 1.411.003l4.103-4.103v3.51a1 1 0 0 0 1.001 1.006A.992.992 0 0 0 18 6.91V1.002A1 1 0 0 0 17 0h-5.907a1.003 1.003 0 0 0-1.002 1.003c0 .539.45.978 1.006.978h3.51z" fill-rule="evenodd"/></symbol><symbol id="icon-explore" viewBox="0 0 18 18"><path d="m9 17c4.418278 0 8-3.581722 8-8s-3.581722-8-8-8-8 3.581722-8 8 3.581722 8 8 8zm0 1c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9zm0-2.5c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5c2.969509 0 5.400504-2.3575119 5.497023-5.31714844.0090007-.27599565.2400359-.49243782.5160315-.48343711.2759957.0090007.4924378.2400359.4834371.51603155-.114093 3.4985237-2.9869632 6.284554-6.4964916 6.284554zm-.29090657-12.99359748c.27587424-.01216621.50937715.20161139.52154336.47748563.01216621.27587423-.20161139.50937715-.47748563.52154336-2.93195733.12930094-5.25315116 2.54886451-5.25315116 5.49456849 0 .27614237-.22385763.5-.5.5s-.5-.22385763-.5-.5c0-3.48142406 2.74307146-6.34074398 6.20909343-6.49359748zm1.13784138 8.04763908-1.2004882-1.20048821c-.19526215-.19526215-.19526215-.51184463 0-.70710678s.51184463-.19526215.70710678 0l1.20048821 1.2004882 1.6006509-4.00162734-4.50670359 1.80268144-1.80268144 4.50670359zm4.10281269-6.50378907-2.6692597 6.67314927c-.1016411.2541026-.3029834.4554449-.557086.557086l-6.67314927 2.6692597 2.66925969-6.67314926c.10164107-.25410266.30298336-.45544495.55708602-.55708602z" fill-rule="evenodd"/></symbol><symbol id="icon-filter" viewBox="0 0 16 16"><path d="m14.9738641 0c.5667192 0 1.0261359.4477136 1.0261359 1 0 .24221858-.0902161.47620768-.2538899.65849851l-5.6938314 6.34147206v5.49997973c0 .3147562-.1520673.6111434-.4104543.7999971l-2.05227171 1.4999945c-.45337535.3313696-1.09655869.2418269-1.4365902-.1999993-.13321514-.1730955-.20522717-.3836284-.20522717-.5999978v-6.99997423l-5.69383133-6.34147206c-.3731872-.41563511-.32996891-1.0473954.09653074-1.41107611.18705584-.15950448.42716133-.2474224.67571519-.2474224zm-5.9218641 8.5h-2.105v6.491l.01238459.0070843.02053271.0015705.01955278-.0070558 2.0532976-1.4990996zm-8.02585008-7.5-.01564945.00240169 5.83249953 6.49759831h2.313l5.836-6.499z"/></symbol><symbol id="icon-home" viewBox="0 0 18 18"><path d="m9 5-6 6v5h4v-4h4v4h4v-5zm7 6.5857864v4.4142136c0 .5522847-.4477153 1-1 1h-5v-4h-2v4h-5c-.55228475 0-1-.4477153-1-1v-4.4142136c-.25592232 0-.51184464-.097631-.70710678-.2928932l-.58578644-.5857864c-.39052429-.3905243-.39052429-1.02368929 0-1.41421358l8.29289322-8.29289322 8.2928932 8.29289322c.3905243.39052429.3905243 1.02368928 0 1.41421358l-.5857864.5857864c-.1952622.1952622-.4511845.2928932-.7071068.2928932zm-7-9.17157284-7.58578644 7.58578644.58578644.5857864 7-6.99999996 7 6.99999996.5857864-.5857864z" fill-rule="evenodd"/></symbol><symbol id="icon-image" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm-3.49645283 10.1752453-3.89407257 6.7495552c.11705545.048464.24538859.0751995.37998328.0751995h10.60290092l-2.4329715-4.2154691-1.57494129 2.7288098zm8.49779013 6.8247547c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v13.98991071l4.50814957-7.81026689 3.08089884 5.33809539 1.57494129-2.7288097 3.5875735 6.2159812zm-3.0059397-11c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm0 1c-.5522847 0-1 .44771525-1 1s.4477153 1 1 1 1-.44771525 1-1-.4477153-1-1-1z" fill-rule="evenodd"/></symbol><symbol id="icon-info" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm0 7h-1.5l-.11662113.00672773c-.49733868.05776511-.88337887.48043643-.88337887.99327227 0 .47338693.32893365.86994729.77070917.97358929l.1126697.01968298.11662113.00672773h.5v3h-.5l-.11662113.0067277c-.42082504.0488782-.76196299.3590206-.85696816.7639815l-.01968298.1126697-.00672773.1166211.00672773.1166211c.04887817.4208251.35902055.761963.76398144.8569682l.1126697.019683.11662113.0067277h3l.1166211-.0067277c.4973387-.0577651.8833789-.4804365.8833789-.9932723 0-.4733869-.3289337-.8699473-.7707092-.9735893l-.1126697-.019683-.1166211-.0067277h-.5v-4l-.00672773-.11662113c-.04887817-.42082504-.35902055-.76196299-.76398144-.85696816l-.1126697-.01968298zm0-3.25c-.69035594 0-1.25.55964406-1.25 1.25s.55964406 1.25 1.25 1.25 1.25-.55964406 1.25-1.25-.55964406-1.25-1.25-1.25z" fill-rule="evenodd"/></symbol><symbol id="icon-institution" viewBox="0 0 18 18"><path d="m7 16.9998189v-2.0003623h4v2.0003623h2v-3.0005434h-8v3.0005434zm-3-10.00181122h-1.52632364c-.27614237 0-.5-.22389817-.5-.50009056 0-.13995446.05863589-.27350497.16166338-.36820841l1.23156713-1.13206327h-2.36690687v12.00217346h3v-2.0003623h-3v-1.0001811h3v-1.0001811h1v-4.00072448h-1zm10 0v2.00036224h-1v4.00072448h1v1.0001811h3v1.0001811h-3v2.0003623h3v-12.00217346h-2.3695309l1.2315671 1.13206327c.2033191.186892.2166633.50325042.0298051.70660631-.0946863.10304615-.2282126.16169266-.3681417.16169266zm3-3.00054336c.5522847 0 1 .44779634 1 1.00018112v13.00235456h-18v-13.00235456c0-.55238478.44771525-1.00018112 1-1.00018112h3.45499992l4.20535144-3.86558216c.19129876-.17584288.48537447-.17584288.67667324 0l4.2053514 3.86558216zm-4 3.00054336h-8v1.00018112h8zm-2 6.00108672h1v-4.00072448h-1zm-1 0v-4.00072448h-2v4.00072448zm-3 0v-4.00072448h-1v4.00072448zm8-4.00072448c.5522847 0 1 .44779634 1 1.00018112v2.00036226h-2v-2.00036226c0-.55238478.4477153-1.00018112 1-1.00018112zm-12 0c.55228475 0 1 .44779634 1 1.00018112v2.00036226h-2v-2.00036226c0-.55238478.44771525-1.00018112 1-1.00018112zm5.99868798-7.81907007-5.24205601 4.81852671h10.48411203zm.00131202 3.81834559c-.55228475 0-1-.44779634-1-1.00018112s.44771525-1.00018112 1-1.00018112 1 .44779634 1 1.00018112-.44771525 1.00018112-1 1.00018112zm-1 11.00199236v1.0001811h2v-1.0001811z" fill-rule="evenodd"/></symbol><symbol id="icon-location" viewBox="0 0 18 18"><path d="m9.39521328 16.2688008c.79596342-.7770119 1.59208152-1.6299956 2.33285652-2.5295081 1.4020032-1.7024324 2.4323601-3.3624519 2.9354918-4.871847.2228715-.66861448.3364384-1.29323246.3364384-1.8674457 0-3.3137085-2.6862915-6-6-6-3.36356866 0-6 2.60156856-6 6 0 .57421324.11356691 1.19883122.3364384 1.8674457.50313169 1.5093951 1.53348863 3.1694146 2.93549184 4.871847.74077492.8995125 1.53689309 1.7524962 2.33285648 2.5295081.13694479.1336842.26895677.2602648.39521328.3793207.12625651-.1190559.25826849-.2456365.39521328-.3793207zm-.39521328 1.7311992s-7-6-7-11c0-4 3.13400675-7 7-7 3.8659932 0 7 3.13400675 7 7 0 5-7 11-7 11zm0-8c-1.65685425 0-3-1.34314575-3-3s1.34314575-3 3-3c1.6568542 0 3 1.34314575 3 3s-1.3431458 3-3 3zm0-1c1.1045695 0 2-.8954305 2-2s-.8954305-2-2-2-2 .8954305-2 2 .8954305 2 2 2z" fill-rule="evenodd"/></symbol><symbol id="icon-minus" viewBox="0 0 16 16"><path d="m2.00087166 7h11.99825664c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-11.99825664c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-newsletter" viewBox="0 0 18 18"><path d="m9 11.8482489 2-1.1428571v-1.7053918h-4v1.7053918zm-3-1.7142857v-2.1339632h6v2.1339632l3-1.71428574v-6.41967746h-12v6.41967746zm10-5.3839632 1.5299989.95624934c.2923814.18273835.4700011.50320827.4700011.8479983v8.44575236c0 1.1045695-.8954305 2-2 2h-14c-1.1045695 0-2-.8954305-2-2v-8.44575236c0-.34479003.1776197-.66525995.47000106-.8479983l1.52999894-.95624934v-2.75c0-.55228475.44771525-1 1-1h12c.5522847 0 1 .44771525 1 1zm0 1.17924764v3.07075236l-7 4-7-4v-3.07075236l-1 .625v8.44575236c0 .5522847.44771525 1 1 1h14c.5522847 0 1-.4477153 1-1v-8.44575236zm-10-1.92924764h6v1h-6zm-1 2h8v1h-8z" fill-rule="evenodd"/></symbol><symbol id="icon-orcid" viewBox="0 0 18 18"><path d="m9 1c4.418278 0 8 3.581722 8 8s-3.581722 8-8 8-8-3.581722-8-8 3.581722-8 8-8zm-2.90107518 5.2732337h-1.41865256v7.1712107h1.41865256zm4.55867178.02508949h-2.99247027v7.14612121h2.91062487c.7673039 0 1.4476365-.1483432 2.0410182-.445034s1.0511995-.7152915 1.3734671-1.2558144c.3222677-.540523.4833991-1.1603247.4833991-1.85942385 0-.68545815-.1602789-1.30270225-.4808414-1.85175082-.3205625-.54904856-.7707074-.97532211-1.3504481-1.27883343-.5797408-.30351132-1.2413173-.45526471-1.9847495-.45526471zm-.1892674 1.07933542c.7877654 0 1.4143875.22336734 1.8798852.67010873.4654977.44674138.698243 1.05546001.698243 1.82617415 0 .74343221-.2310402 1.34447791-.6931277 1.80315511-.4620874.4586773-1.0750688.6880124-1.8389625.6880124h-1.46810075v-4.98745039zm-5.08652545-3.71099194c-.21825533 0-.410525.08444276-.57681478.25333081-.16628977.16888806-.24943341.36245684-.24943341.58071218 0 .22345188.08314364.41961891.24943341.58850696.16628978.16888806.35855945.25333082.57681478.25333082.233845 0 .43390938-.08314364.60019916-.24943342.16628978-.16628977.24943342-.36375592.24943342-.59240436 0-.233845-.08314364-.43131115-.24943342-.59240437s-.36635416-.24163862-.60019916-.24163862z" fill-rule="evenodd"/></symbol><symbol id="icon-plus" viewBox="0 0 16 16"><path d="m2.00087166 7h4.99912834v-4.99912834c0-.55276616.44386482-1.00087166 1-1.00087166.55228475 0 1 .44463086 1 1.00087166v4.99912834h4.9991283c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-4.9991283v4.9991283c0 .5527662-.44386482 1.0008717-1 1.0008717-.55228475 0-1-.4446309-1-1.0008717v-4.9991283h-4.99912834c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-print" viewBox="0 0 18 18"><path d="m16.0049107 5h-14.00982141c-.54941618 0-.99508929.4467783-.99508929.99961498v6.00077002c0 .5570958.44271433.999615.99508929.999615h1.00491071v-3h12v3h1.0049107c.5494162 0 .9950893-.4467783.9950893-.999615v-6.00077002c0-.55709576-.4427143-.99961498-.9950893-.99961498zm-2.0049107-1v-2.00208688c0-.54777062-.4519464-.99791312-1.0085302-.99791312h-7.9829396c-.55661731 0-1.0085302.44910695-1.0085302.99791312v2.00208688zm1 10v2.0018986c0 1.103521-.9019504 1.9981014-2.0085302 1.9981014h-7.9829396c-1.1092806 0-2.0085302-.8867064-2.0085302-1.9981014v-2.0018986h-1.00491071c-1.10185739 0-1.99508929-.8874333-1.99508929-1.999615v-6.00077002c0-1.10435686.8926228-1.99961498 1.99508929-1.99961498h1.00491071v-2.00208688c0-1.10341695.90195036-1.99791312 2.0085302-1.99791312h7.9829396c1.1092806 0 2.0085302.89826062 2.0085302 1.99791312v2.00208688h1.0049107c1.1018574 0 1.9950893.88743329 1.9950893 1.99961498v6.00077002c0 1.1043569-.8926228 1.999615-1.9950893 1.999615zm-1-3h-10v5.0018986c0 .5546075.44702548.9981014 1.0085302.9981014h7.9829396c.5565964 0 1.0085302-.4491701 1.0085302-.9981014zm-9 1h8v1h-8zm0 2h5v1h-5zm9-5c-.5522847 0-1-.44771525-1-1s.4477153-1 1-1 1 .44771525 1 1-.4477153 1-1 1z" fill-rule="evenodd"/></symbol><symbol id="icon-search" viewBox="0 0 22 22"><path d="M21.697 20.261a1.028 1.028 0 01.01 1.448 1.034 1.034 0 01-1.448-.01l-4.267-4.267A9.812 9.811 0 010 9.812a9.812 9.811 0 1117.43 6.182zM9.812 18.222A8.41 8.41 0 109.81 1.403a8.41 8.41 0 000 16.82z" fill-rule="evenodd"/></symbol><symbol id="icon-social-facebook" viewBox="0 0 24 24"><path d="m6.00368507 20c-1.10660471 0-2.00368507-.8945138-2.00368507-1.9940603v-12.01187942c0-1.10128908.89451376-1.99406028 1.99406028-1.99406028h12.01187942c1.1012891 0 1.9940603.89451376 1.9940603 1.99406028v12.01187942c0 1.1012891-.88679 1.9940603-2.0032184 1.9940603h-2.9570132v-6.1960818h2.0797387l.3114113-2.414723h-2.39115v-1.54164807c0-.69911803.1941355-1.1755439 1.1966615-1.1755439l1.2786739-.00055875v-2.15974763l-.2339477-.02492088c-.3441234-.03134957-.9500153-.07025255-1.6293054-.07025255-1.8435726 0-3.1057323 1.12531866-3.1057323 3.19187953v1.78079225h-2.0850778v2.414723h2.0850778v6.1960818z" fill-rule="evenodd"/></symbol><symbol id="icon-social-twitter" viewBox="0 0 24 24"><path d="m18.8767135 6.87445248c.7638174-.46908424 1.351611-1.21167363 1.6250764-2.09636345-.7135248.43394112-1.50406.74870123-2.3464594.91677702-.6695189-.73342162-1.6297913-1.19486605-2.6922204-1.19486605-2.0399895 0-3.6933555 1.69603749-3.6933555 3.78628909 0 .29642457.0314329.58673729.0942985.8617704-3.06469922-.15890802-5.78835241-1.66547825-7.60988389-3.9574208-.3174714.56076194-.49978171 1.21167363-.49978171 1.90536824 0 1.31404706.65223085 2.47224203 1.64236444 3.15218497-.60350999-.0198635-1.17401554-.1925232-1.67222562-.47366811v.04583885c0 1.83355406 1.27302891 3.36609966 2.96411421 3.71294696-.31118484.0886217-.63651445.1329326-.97441718.1329326-.2357461 0-.47149219-.0229194-.69466516-.0672303.47149219 1.5065703 1.83253297 2.6036468 3.44975116 2.632678-1.2651707 1.0160946-2.85724264 1.6196394-4.5891906 1.6196394-.29861172 0-.59093688-.0152796-.88011875-.0504227 1.63450624 1.0726291 3.57548241 1.6990934 5.66104951 1.6990934 6.79263079 0 10.50641749-5.7711113 10.50641749-10.7751859l-.0094298-.48894775c.7229547-.53478659 1.3516109-1.20250585 1.8419628-1.96190282-.6632323.30100846-1.3751855.50422736-2.1217148.59590507z" fill-rule="evenodd"/></symbol><symbol id="icon-social-youtube" viewBox="0 0 24 24"><path d="m10.1415 14.3973208-.0005625-5.19318431 4.863375 2.60554491zm9.963-7.92753362c-.6845625-.73643756-1.4518125-.73990314-1.803375-.7826454-2.518875-.18714178-6.2971875-.18714178-6.2971875-.18714178-.007875 0-3.7861875 0-6.3050625.18714178-.352125.04274226-1.1188125.04620784-1.8039375.7826454-.5394375.56084773-.7149375 1.8344515-.7149375 1.8344515s-.18 1.49597903-.18 2.99138042v1.4024082c0 1.495979.18 2.9913804.18 2.9913804s.1755 1.2736038.7149375 1.8344515c.685125.7364376 1.5845625.7133337 1.9850625.7901542 1.44.1420891 6.12.1859866 6.12.1859866s3.78225-.005776 6.301125-.1929178c.3515625-.0433198 1.1188125-.0467854 1.803375-.783223.5394375-.5608477.7155-1.8344515.7155-1.8344515s.18-1.4954014.18-2.9913804v-1.4024082c0-1.49540139-.18-2.99138042-.18-2.99138042s-.1760625-1.27360377-.7155-1.8344515z" fill-rule="evenodd"/></symbol><symbol id="icon-subject-medicine" viewBox="0 0 18 18"><path d="m12.5 8h-6.5c-1.65685425 0-3 1.34314575-3 3v1c0 1.6568542 1.34314575 3 3 3h1v-2h-.5c-.82842712 0-1.5-.6715729-1.5-1.5s.67157288-1.5 1.5-1.5h1.5 2 1 2c1.6568542 0 3-1.34314575 3-3v-1c0-1.65685425-1.3431458-3-3-3h-2v2h1.5c.8284271 0 1.5.67157288 1.5 1.5s-.6715729 1.5-1.5 1.5zm-5.5-1v-1h-3.5c-1.38071187 0-2.5-1.11928813-2.5-2.5s1.11928813-2.5 2.5-2.5h1.02786405c.46573528 0 .92507448.10843528 1.34164078.31671843l1.13382424.56691212c.06026365-1.05041141.93116291-1.88363055 1.99667093-1.88363055 1.1045695 0 2 .8954305 2 2h2c2.209139 0 4 1.790861 4 4v1c0 2.209139-1.790861 4-4 4h-2v1h2c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2h-2c0 1.1045695-.8954305 2-2 2s-2-.8954305-2-2h-1c-2.209139 0-4-1.790861-4-4v-1c0-2.209139 1.790861-4 4-4zm0-2v-2.05652691c-.14564246-.03538148-.28733393-.08714006-.42229124-.15461871l-1.15541752-.57770876c-.27771087-.13885544-.583937-.21114562-.89442719-.21114562h-1.02786405c-.82842712 0-1.5.67157288-1.5 1.5s.67157288 1.5 1.5 1.5zm4 1v1h1.5c.2761424 0 .5-.22385763.5-.5s-.2238576-.5-.5-.5zm-1 1v-5c0-.55228475-.44771525-1-1-1s-1 .44771525-1 1v5zm-2 4v5c0 .5522847.44771525 1 1 1s1-.4477153 1-1v-5zm3 2v2h2c.5522847 0 1-.4477153 1-1s-.4477153-1-1-1zm-4-1v-1h-.5c-.27614237 0-.5.2238576-.5.5s.22385763.5.5.5zm-3.5-9h1c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-success" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm3.4860198 4.98163161-4.71802968 5.50657859-2.62834168-2.02300024c-.42862421-.36730544-1.06564993-.30775346-1.42283677.13301307-.35718685.44076653-.29927542 1.0958383.12934879 1.46314377l3.40735508 2.7323063c.42215801.3385221 1.03700951.2798252 1.38749189-.1324571l5.38450527-6.33394549c.3613513-.43716226.3096573-1.09278382-.115462-1.46437175-.4251192-.37158792-1.0626796-.31842941-1.4240309.11873285z" fill-rule="evenodd"/></symbol><symbol id="icon-table" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587l-4.0059107-.001.001.001h-1l-.001-.001h-5l.001.001h-1l-.001-.001-3.00391071.001c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm-11.0059107 5h-3.999v6.9941413c0 .5572961.44630695 1.0058587.99508929 1.0058587h3.00391071zm6 0h-5v8h5zm5.0059107-4h-4.0059107v3h5.001v1h-5.001v7.999l4.0059107.001c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-12.5049107 9c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.2238576.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238576-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm-6-2c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.2238576.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238576-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm-6-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.22385763-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm1.499-5h-5v3h5zm-6 0h-3.00391071c-.54871518 0-.99508929.44887827-.99508929 1.00585866v1.99414134h3.999z" fill-rule="evenodd"/></symbol><symbol id="icon-tick-circle" viewBox="0 0 24 24"><path d="m12 2c5.5228475 0 10 4.4771525 10 10s-4.4771525 10-10 10-10-4.4771525-10-10 4.4771525-10 10-10zm0 1c-4.97056275 0-9 4.02943725-9 9 0 4.9705627 4.02943725 9 9 9 4.9705627 0 9-4.0294373 9-9 0-4.97056275-4.0294373-9-9-9zm4.2199868 5.36606669c.3613514-.43716226.9989118-.49032077 1.424031-.11873285s.4768133 1.02720949.115462 1.46437175l-6.093335 6.94397871c-.3622945.4128716-.9897871.4562317-1.4054264.0971157l-3.89719065-3.3672071c-.42862421-.3673054-.48653564-1.0223772-.1293488-1.4631437s.99421256-.5003185 1.42283677-.1330131l3.11097438 2.6987741z" fill-rule="evenodd"/></symbol><symbol id="icon-tick" viewBox="0 0 16 16"><path d="m6.76799012 9.21106946-3.1109744-2.58349728c-.42862421-.35161617-1.06564993-.29460792-1.42283677.12733148s-.29927541 1.04903009.1293488 1.40064626l3.91576307 3.23873978c.41034319.3393961 1.01467563.2976897 1.37450571-.0948578l6.10568327-6.660841c.3613513-.41848908.3096572-1.04610608-.115462-1.4018218-.4251192-.35571573-1.0626796-.30482786-1.424031.11366122z" fill-rule="evenodd"/></symbol><symbol id="icon-update" viewBox="0 0 18 18"><path d="m1 13v1c0 .5522847.44771525 1 1 1h14c.5522847 0 1-.4477153 1-1v-1h-1v-10h-14v10zm16-1h1v2c0 1.1045695-.8954305 2-2 2h-14c-1.1045695 0-2-.8954305-2-2v-2h1v-9c0-.55228475.44771525-1 1-1h14c.5522847 0 1 .44771525 1 1zm-1 0v1h-4.5857864l-1 1h-2.82842716l-1-1h-4.58578644v-1h5l1 1h2l1-1zm-13-8h12v7h-12zm1 1v5h10v-5zm1 1h4v1h-4zm0 2h4v1h-4z" fill-rule="evenodd"/></symbol><symbol id="icon-upload" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm0 1h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v14.00982141c0 .5500396.44491393.9950893.99406028.9950893h12.01187942c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717zm-1.85576936 4.14572769c.19483374-.19483375.51177826-.19377714.70556874.00001334l2.59099082 2.59099079c.1948411.19484112.1904373.51514474.0027906.70279143-.1932998.19329987-.5046517.19237083-.7001856-.00692852l-1.74638687-1.7800176v6.14827687c0 .2717771-.23193359.492096-.5.492096-.27614237 0-.5-.216372-.5-.492096v-6.14827641l-1.74627892 1.77990922c-.1933927.1971171-.51252214.19455839-.70016883.0069117-.19329987-.19329988-.19100584-.50899493.00277731-.70277808z" fill-rule="evenodd"/></symbol><symbol id="icon-video" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587h-14.00982141c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm0 1h-14.00982141c-.54871518 0-.99508929.44887827-.99508929 1.00585866v9.98828264c0 .5572961.44630695 1.0058587.99508929 1.0058587h14.00982141c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-8.30912922 2.24944486 4.60460462 2.73982242c.9365543.55726659.9290753 1.46522435 0 2.01804082l-4.60460462 2.7398224c-.93655425.5572666-1.69578148.1645632-1.69578148-.8937585v-5.71016863c0-1.05087579.76670616-1.446575 1.69578148-.89375851zm-.67492769.96085624v5.5750128c0 .2995102-.10753745.2442517.16578928.0847713l4.58452283-2.67497259c.3050619-.17799716.3051624-.21655446 0-.39461026l-4.58452283-2.67497264c-.26630747-.15538481-.16578928-.20699944-.16578928.08477139z" fill-rule="evenodd"/></symbol><symbol id="icon-warning" viewBox="0 0 18 18"><path d="m9 11.75c.69035594 0 1.25.5596441 1.25 1.25s-.55964406 1.25-1.25 1.25-1.25-.5596441-1.25-1.25.55964406-1.25 1.25-1.25zm.41320045-7.75c.55228475 0 1.00000005.44771525 1.00000005 1l-.0034543.08304548-.3333333 4c-.043191.51829212-.47645714.91695452-.99654578.91695452h-.15973424c-.52008864 0-.95335475-.3986624-.99654576-.91695452l-.33333333-4c-.04586475-.55037702.36312325-1.03372649.91350028-1.07959124l.04148683-.00259031zm-.41320045 14c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-checklist-banner" viewBox="0 0 56.69 56.69"><path style="fill:none" d="M0 0h56.69v56.69H0z"/><clipPath id="b"><use xlink:href="#a" style="overflow:visible"/></clipPath><path d="M21.14 34.46c0-6.77 5.48-12.26 12.24-12.26s12.24 5.49 12.24 12.26-5.48 12.26-12.24 12.26c-6.76-.01-12.24-5.49-12.24-12.26zm19.33 10.66 10.23 9.22s1.21 1.09 2.3-.12l2.09-2.32s1.09-1.21-.12-2.3l-10.23-9.22m-19.29-5.92c0-4.38 3.55-7.94 7.93-7.94s7.93 3.55 7.93 7.94c0 4.38-3.55 7.94-7.93 7.94-4.38-.01-7.93-3.56-7.93-7.94zm17.58 12.99 4.14-4.81" style="clip-path:url(#b);fill:none;stroke:#01324b;stroke-width:2;stroke-linecap:round"/><path d="M8.26 9.75H28.6M8.26 15.98H28.6m-20.34 6.2h12.5m14.42-5.2V4.86s0-2.93-2.93-2.93H4.13s-2.93 0-2.93 2.93v37.57s0 2.93 2.93 2.93h15.01M8.26 9.75H28.6M8.26 15.98H28.6m-20.34 6.2h12.5" style="clip-path:url(#b);fill:none;stroke:#01324b;stroke-width:2;stroke-linecap:round;stroke-linejoin:round"/></symbol><symbol id="icon-chevron-down" viewBox="0 0 16 16"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" fill-rule="evenodd" transform="matrix(0 1 -1 0 11 1)"/></symbol><symbol id="icon-eds-i-arrow-right-medium" viewBox="0 0 24 24"><path d="m12.728 3.293 7.98 7.99a.996.996 0 0 1 .281.561l.011.157c0 .32-.15.605-.384.788l-7.908 7.918a1 1 0 0 1-1.416-1.414L17.576 13H4a1 1 0 0 1 0-2h13.598l-6.285-6.293a1 1 0 0 1-.082-1.32l.083-.095a1 1 0 0 1 1.414.001Z"/></symbol><symbol id="icon-eds-i-chevron-down-medium" viewBox="0 0 16 16"><path d="m2.00087166 7h4.99912834v-4.99912834c0-.55276616.44386482-1.00087166 1-1.00087166.55228475 0 1 .44463086 1 1.00087166v4.99912834h4.9991283c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-4.9991283v4.9991283c0 .5527662-.44386482 1.0008717-1 1.0008717-.55228475 0-1-.4446309-1-1.0008717v-4.9991283h-4.99912834c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-chevron-down-small" viewBox="0 0 16 16"><path d="M13.692 5.278a1 1 0 0 1 .03 1.414L9.103 11.51a1.491 1.491 0 0 1-2.188.019L2.278 6.692a1 1 0 0 1 1.444-1.384L8 9.771l4.278-4.463a1 1 0 0 1 1.318-.111l.096.081Z"/></symbol><symbol id="icon-eds-i-chevron-right-medium" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-eds-i-chevron-right-small" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-eds-i-chevron-up-medium" viewBox="0 0 16 16"><path d="m2.00087166 7h11.99825664c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-11.99825664c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-close-medium" viewBox="0 0 16 16"><path d="m2.29679575 12.2772478c-.39658757.3965876-.39438847 1.0328109-.00062148 1.4265779.39651227.3965123 1.03246768.3934888 1.42657791-.0006214l4.27724782-4.27724787 4.2772478 4.27724787c.3965876.3965875 1.0328109.3943884 1.4265779.0006214.3965123-.3965122.3934888-1.0324677-.0006214-1.4265779l-4.27724787-4.2772478 4.27724787-4.27724782c.3965875-.39658757.3943884-1.03281091.0006214-1.42657791-.3965122-.39651226-1.0324677-.39348875-1.4265779.00062148l-4.2772478 4.27724782-4.27724782-4.27724782c-.39658757-.39658757-1.03281091-.39438847-1.42657791-.00062148-.39651226.39651227-.39348875 1.03246768.00062148 1.42657791l4.27724782 4.27724782z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-download-medium" viewBox="0 0 16 16"><path d="m12.9975267 12.999368c.5467123 0 1.0024733.4478567 1.0024733 1.000316 0 .5563109-.4488226 1.000316-1.0024733 1.000316h-9.99505341c-.54671233 0-1.00247329-.4478567-1.00247329-1.000316 0-.5563109.44882258-1.000316 1.00247329-1.000316zm-4.9975267-11.999368c.55228475 0 1 .44497754 1 .99589209v6.80214418l2.4816273-2.48241149c.3928222-.39294628 1.0219732-.4006883 1.4030652-.01947579.3911302.39125371.3914806 1.02525073-.0001404 1.41699553l-4.17620792 4.17752758c-.39120769.3913313-1.02508144.3917306-1.41671995-.0000316l-4.17639421-4.17771394c-.39122513-.39134876-.39767006-1.01940351-.01657797-1.40061601.39113012-.39125372 1.02337105-.3931606 1.41951349.00310701l2.48183446 2.48261871v-6.80214418c0-.55001601.44386482-.99589209 1-.99589209z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-info-filled-medium" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm0 7h-1.5l-.11662113.00672773c-.49733868.05776511-.88337887.48043643-.88337887.99327227 0 .47338693.32893365.86994729.77070917.97358929l.1126697.01968298.11662113.00672773h.5v3h-.5l-.11662113.0067277c-.42082504.0488782-.76196299.3590206-.85696816.7639815l-.01968298.1126697-.00672773.1166211.00672773.1166211c.04887817.4208251.35902055.761963.76398144.8569682l.1126697.019683.11662113.0067277h3l.1166211-.0067277c.4973387-.0577651.8833789-.4804365.8833789-.9932723 0-.4733869-.3289337-.8699473-.7707092-.9735893l-.1126697-.019683-.1166211-.0067277h-.5v-4l-.00672773-.11662113c-.04887817-.42082504-.35902055-.76196299-.76398144-.85696816l-.1126697-.01968298zm0-3.25c-.69035594 0-1.25.55964406-1.25 1.25s.55964406 1.25 1.25 1.25 1.25-.55964406 1.25-1.25-.55964406-1.25-1.25-1.25z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-mail-medium" viewBox="0 0 24 24"><path d="m19.462 0c1.413 0 2.538 1.184 2.538 2.619v12.762c0 1.435-1.125 2.619-2.538 2.619h-16.924c-1.413 0-2.538-1.184-2.538-2.619v-12.762c0-1.435 1.125-2.619 2.538-2.619zm.538 5.158-7.378 6.258a2.549 2.549 0 0 1 -3.253-.008l-7.369-6.248v10.222c0 .353.253.619.538.619h16.924c.285 0 .538-.266.538-.619zm-.538-3.158h-16.924c-.264 0-.5.228-.534.542l8.65 7.334c.2.165.492.165.684.007l8.656-7.342-.001-.025c-.044-.3-.274-.516-.531-.516z"/></symbol><symbol id="icon-eds-i-menu-medium" viewBox="0 0 24 24"><path d="M21 4a1 1 0 0 1 0 2H3a1 1 0 1 1 0-2h18Zm-4 7a1 1 0 0 1 0 2H3a1 1 0 0 1 0-2h14Zm4 7a1 1 0 0 1 0 2H3a1 1 0 0 1 0-2h18Z"/></symbol><symbol id="icon-eds-i-search-medium" viewBox="0 0 24 24"><path d="M11 1c5.523 0 10 4.477 10 10 0 2.4-.846 4.604-2.256 6.328l3.963 3.965a1 1 0 0 1-1.414 1.414l-3.965-3.963A9.959 9.959 0 0 1 11 21C5.477 21 1 16.523 1 11S5.477 1 11 1Zm0 2a8 8 0 1 0 0 16 8 8 0 0 0 0-16Z"/></symbol><symbol id="icon-eds-i-user-single-medium" viewBox="0 0 24 24"><path d="M12 1a5 5 0 1 1 0 10 5 5 0 0 1 0-10Zm0 2a3 3 0 1 0 0 6 3 3 0 0 0 0-6Zm-.406 9.008a8.965 8.965 0 0 1 6.596 2.494A9.161 9.161 0 0 1 21 21.025V22a1 1 0 0 1-1 1H4a1 1 0 0 1-1-1v-.985c.05-4.825 3.815-8.777 8.594-9.007Zm.39 1.992-.299.006c-3.63.175-6.518 3.127-6.678 6.775L5 21h13.998l-.009-.268a7.157 7.157 0 0 0-1.97-4.573l-.214-.213A6.967 6.967 0 0 0 11.984 14Z"/></symbol><symbol id="icon-eds-i-warning-filled-medium" viewBox="0 0 18 18"><path d="m9 11.75c.69035594 0 1.25.5596441 1.25 1.25s-.55964406 1.25-1.25 1.25-1.25-.5596441-1.25-1.25.55964406-1.25 1.25-1.25zm.41320045-7.75c.55228475 0 1.00000005.44771525 1.00000005 1l-.0034543.08304548-.3333333 4c-.043191.51829212-.47645714.91695452-.99654578.91695452h-.15973424c-.52008864 0-.95335475-.3986624-.99654576-.91695452l-.33333333-4c-.04586475-.55037702.36312325-1.03372649.91350028-1.07959124l.04148683-.00259031zm-.41320045 14c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-expand-image" viewBox="0 0 18 18"><path d="m7.49754099 11.9178212c.38955542-.3895554.38761957-1.0207846-.00290473-1.4113089-.39324695-.3932469-1.02238878-.3918247-1.41130883-.0029047l-4.10273549 4.1027355.00055454-3.5103985c.00008852-.5603185-.44832171-1.006032-1.00155062-1.0059446-.53903074.0000852-.97857527.4487442-.97866268 1.0021075l-.00093318 5.9072465c-.00008751.553948.44841131 1.001882 1.00174994 1.0017946l5.906983-.0009331c.5539233-.0000875 1.00197907-.4486389 1.00206646-1.0018679.00008515-.5390307-.45026621-.9784332-1.00588841-.9783454l-3.51010549.0005545zm3.00571741-5.83449376c-.3895554.38955541-.3876196 1.02078454.0029047 1.41130883.393247.39324696 1.0223888.39182478 1.4113089.00290473l4.1027355-4.10273549-.0005546 3.5103985c-.0000885.56031852.4483217 1.006032 1.0015506 1.00594461.5390308-.00008516.9785753-.44874418.9786627-1.00210749l.0009332-5.9072465c.0000875-.553948-.4484113-1.00188204-1.0017499-1.00179463l-5.906983.00093313c-.5539233.00008751-1.0019791.44863892-1.0020665 1.00186784-.0000852.53903074.4502662.97843325 1.0058884.97834547l3.5101055-.00055449z" fill-rule="evenodd"/></symbol><symbol id="icon-github" viewBox="0 0 100 100"><path fill-rule="evenodd" clip-rule="evenodd" d="M48.854 0C21.839 0 0 22 0 49.217c0 21.756 13.993 40.172 33.405 46.69 2.427.49 3.316-1.059 3.316-2.362 0-1.141-.08-5.052-.08-9.127-13.59 2.934-16.42-5.867-16.42-5.867-2.184-5.704-5.42-7.17-5.42-7.17-4.448-3.015.324-3.015.324-3.015 4.934.326 7.523 5.052 7.523 5.052 4.367 7.496 11.404 5.378 14.235 4.074.404-3.178 1.699-5.378 3.074-6.6-10.839-1.141-22.243-5.378-22.243-24.283 0-5.378 1.94-9.778 5.014-13.2-.485-1.222-2.184-6.275.486-13.038 0 0 4.125-1.304 13.426 5.052a46.97 46.97 0 0 1 12.214-1.63c4.125 0 8.33.571 12.213 1.63 9.302-6.356 13.427-5.052 13.427-5.052 2.67 6.763.97 11.816.485 13.038 3.155 3.422 5.015 7.822 5.015 13.2 0 18.905-11.404 23.06-22.324 24.283 1.78 1.548 3.316 4.481 3.316 9.126 0 6.6-.08 11.897-.08 13.526 0 1.304.89 2.853 3.316 2.364 19.412-6.52 33.405-24.935 33.405-46.691C97.707 22 75.788 0 48.854 0z"/></symbol><symbol id="icon-springer-arrow-left"><path d="M15 7a1 1 0 000-2H3.385l2.482-2.482a.994.994 0 00.02-1.403 1.001 1.001 0 00-1.417 0L.294 5.292a1.001 1.001 0 000 1.416l4.176 4.177a.991.991 0 001.4.016 1 1 0 00-.003-1.42L3.385 7H15z"/></symbol><symbol id="icon-springer-arrow-right"><path d="M1 7a1 1 0 010-2h11.615l-2.482-2.482a.994.994 0 01-.02-1.403 1.001 1.001 0 011.417 0l4.176 4.177a1.001 1.001 0 010 1.416l-4.176 4.177a.991.991 0 01-1.4.016 1 1 0 01.003-1.42L12.615 7H1z"/></symbol><symbol id="icon-submit-open" viewBox="0 0 16 17"><path d="M12 0c1.10457 0 2 .895431 2 2v5c0 .276142-.223858.5-.5.5S13 7.276142 13 7V2c0-.512836-.38604-.935507-.883379-.993272L12 1H6v3c0 1.10457-.89543 2-2 2H1v8c0 .512836.38604.935507.883379.993272L2 15h6.5c.276142 0 .5.223858.5.5s-.223858.5-.5.5H2c-1.104569 0-2-.89543-2-2V5.828427c0-.530433.210714-1.039141.585786-1.414213L4.414214.585786C4.789286.210714 5.297994 0 5.828427 0H12Zm3.41 11.14c.250899.250899.250274.659726 0 .91-.242954.242954-.649606.245216-.9-.01l-1.863671-1.900337.001043 5.869492c0 .356992-.289839.637138-.647372.637138-.347077 0-.647371-.285256-.647371-.637138l-.001043-5.869492L9.5 12.04c-.253166.258042-.649726.260274-.9.01-.242954-.242954-.252269-.657731 0-.91l2.942184-2.951303c.250908-.250909.66127-.252277.91353-.000017L15.41 11.14ZM5 1.413 1.413 5H4c.552285 0 1-.447715 1-1V1.413ZM11 3c.276142 0 .5.223858.5.5s-.223858.5-.5.5H7.5c-.276142 0-.5-.223858-.5-.5s.223858-.5.5-.5H11Zm0 2c.276142 0 .5.223858.5.5s-.223858.5-.5.5H7.5c-.276142 0-.5-.223858-.5-.5s.223858-.5.5-.5H11Z" fill-rule="nonzero"/></symbol></svg> </div> </footer> <div class="c-site-messages message u-hide u-hide-print c-site-messages--nature-briefing c-site-messages--nature-briefing-email-variant c-site-messages--nature-briefing-redesign-2020 sans-serif " data-component-id="nature-briefing-banner" data-component-expirydays="30" data-component-trigger-scroll-percentage="15" data-track="in-view" data-track-action="in-view" data-track-category="nature briefing" data-track-label="Briefing banner visible: Flagship"> <div class="c-site-messages__banner-large"> <div class="c-site-messages__close-container"> <button class="c-site-messages__close" data-track="click" data-track-category="nature briefing" data-track-label="Briefing banner dismiss: Flagship"> <svg width="25px" height="25px" focusable="false" aria-hidden="true" viewBox="0 0 25 25" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <title>Close banner</title> <defs></defs> <g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd"> <rect opacity="0" x="0" y="0" width="25" height="25"></rect> <path d="M6.29679575,16.2772478 C5.90020818,16.6738354 5.90240728,17.3100587 6.29617427,17.7038257 C6.69268654,18.100338 7.32864195,18.0973145 7.72275218,17.7032043 L12,13.4259564 L16.2772478,17.7032043 C16.6738354,18.0997918 17.3100587,18.0975927 17.7038257,17.7038257 C18.100338,17.3073135 18.0973145,16.671358 17.7032043,16.2772478 L13.4259564,12 L17.7032043,7.72275218 C18.0997918,7.32616461 18.0975927,6.68994127 17.7038257,6.29617427 C17.3073135,5.89966201 16.671358,5.90268552 16.2772478,6.29679575 L12,10.5740436 L7.72275218,6.29679575 C7.32616461,5.90020818 6.68994127,5.90240728 6.29617427,6.29617427 C5.89966201,6.69268654 5.90268552,7.32864195 6.29679575,7.72275218 L10.5740436,12 L6.29679575,16.2772478 Z" fill="#ffffff"></path> </g> </svg> <span class="visually-hidden">Close</span> </button> </div> <div class="c-site-messages__form-container"> <div class="grid grid-12 last"> <div class="grid grid-4"> <img alt="Nature Briefing" src="/static/images/logos/nature-briefing-logo-n150-white-d81c9da3ec.svg" width="250" height="40"> <p class="c-site-messages--nature-briefing__strapline extra-tight-line-height">Sign up for the <em>Nature Briefing</em> newsletter — what matters in science, free to your inbox daily.</p> </div> <div class="grid grid-8 last"> <form action="https://www.nature.com/briefing/briefing" method="post" data-location="banner" data-track="signup_nature_briefing_banner" data-track-action="transmit-form" data-track-category="nature briefing" data-track-label="Briefing banner submit: Flagship"> <input id="briefing-banner-signup-form-input-track-originReferralPoint" type="hidden" name="track_originReferralPoint" value="MainBriefingBanner"> <input id="briefing-banner-signup-form-input-track-formType" type="hidden" name="track_formType" value="DirectEmailBanner"> <input type="hidden" value="false" name="gdpr_tick" id="gdpr_tick_banner"> <input type="hidden" value="false" name="marketing" id="marketing_input_banner"> <input type="hidden" value="false" name="marketing_tick" id="marketing_tick_banner"> <input type="hidden" value="MainBriefingBanner" name="brieferEntryPoint" id="brieferEntryPoint_banner"> <label class="nature-briefing-banner__email-label" for="emailAddress">Email address</label> <div class="nature-briefing-banner__email-wrapper"> <input class="nature-briefing-banner__email-input box-sizing text14" type="email" id="emailAddress" name="emailAddress" value="" placeholder="e.g. jo.smith@university.ac.uk" required data-test-element="briefing-emailbanner-email-input"> <input type="hidden" value="true" name="N:nature_briefing_daily" id="defaultNewsletter_banner"> <button type="submit" class="nature-briefing-banner__submit-button box-sizing text14" data-test-element="briefing-emailbanner-signup-button">Sign up</button> </div> <div class="nature-briefing-banner__checkbox-wrapper grid grid-12 last"> <input class="nature-briefing-banner__checkbox-checkbox" id="gdpr-briefing-banner-checkbox" type="checkbox" name="gdpr" value="true" data-test-element="briefing-emailbanner-gdpr-checkbox" required> <label class="nature-briefing-banner__checkbox-label box-sizing text13 sans-serif block tighten-line-height" for="gdpr-briefing-banner-checkbox">I agree my information will be processed in accordance with the <em>Nature</em> and Springer Nature Limited <a href="https://www.nature.com/info/privacy">Privacy Policy</a>.</label> </div> </form> </div> </div> </div> </div> <div class="c-site-messages__banner-small"> <div class="c-site-messages__close-container"> <button class="c-site-messages__close" data-track="click" data-track-category="nature briefing" data-track-label="Briefing banner dismiss: Flagship"> <svg width="25px" height="25px" focusable="false" aria-hidden="true" viewBox="0 0 25 25" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <title>Close banner</title> <defs></defs> <g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd"> <rect opacity="0" x="0" y="0" width="25" height="25"></rect> <path d="M6.29679575,16.2772478 C5.90020818,16.6738354 5.90240728,17.3100587 6.29617427,17.7038257 C6.69268654,18.100338 7.32864195,18.0973145 7.72275218,17.7032043 L12,13.4259564 L16.2772478,17.7032043 C16.6738354,18.0997918 17.3100587,18.0975927 17.7038257,17.7038257 C18.100338,17.3073135 18.0973145,16.671358 17.7032043,16.2772478 L13.4259564,12 L17.7032043,7.72275218 C18.0997918,7.32616461 18.0975927,6.68994127 17.7038257,6.29617427 C17.3073135,5.89966201 16.671358,5.90268552 16.2772478,6.29679575 L12,10.5740436 L7.72275218,6.29679575 C7.32616461,5.90020818 6.68994127,5.90240728 6.29617427,6.29617427 C5.89966201,6.69268654 5.90268552,7.32864195 6.29679575,7.72275218 L10.5740436,12 L6.29679575,16.2772478 Z" fill="#ffffff"></path> </g> </svg> <span class="visually-hidden">Close</span> </button> </div> <div class="c-site-messages__content text14"> <span class="c-site-messages--nature-briefing__strapline strong">Get the most important science stories of the day, free in your inbox.</span> <a class="nature-briefing__link text14 sans-serif" data-track="click" data-track-category="nature briefing" data-track-label="Small-screen banner CTA to site" data-test-element="briefing-banner-link" target="_blank" rel="noreferrer noopener" href="https://www.nature.com/briefing/signup/?brieferEntryPoint=MainBriefingBanner">Sign up for Nature Briefing </a> </div> </div> </div> <noscript> <img hidden src="https://verify.nature.com/verify/nature.png" width="0" height="0" style="display: none" alt=""> </noscript> <script src="//content.readcube.com/ping?doi=10.1038/s41586-024-08118-0&format=js&last_modified=2024-10-30" async></script> </body> </html>

CINXE.COM

Phonon modes and electron–phonon coupling at the FeSe/SrTiO3 interface | Nature