CINXE.COM

<!DOCTYPE html> <html > <head> <meta charset="utf-8"> <meta rel="search" type="application/opensearchdescription+xml" href="/open_search.xml" title="Academia.edu"> <meta content="width=device-width, initial-scale=1" name="viewport"> <meta name="google-site-verification" content="bKJMBZA7E43xhDOopFZkssMMkBRjvYERV-NaN4R6mrs"> <meta name="csrf-param" content="authenticity_token" /> <meta name="csrf-token" content="9P4BOvt0fwDNc5Y7f+bFk8IDVpTYh4nJPINdxgyX+wpJHx60qkGlcR7xsMVmSxvfCbZNKA1exap6hxwxIYaFOw==" /> <meta name="citation_title" content="An Introduction to Quantum Spin Systems" /> <meta name="citation_publication_date" content="2010" /> <meta name="citation_journal_title" content="Lecture Notes in Physics" /> <meta name="citation_author" content="Parkinson, John" /> <meta name="citation_author" content="Farnell, Damian J J" /> <meta name="citation_issn" content="0075-8450" /> <meta name="twitter:card" content="summary" /> <meta name="twitter:url" content="https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems" /> <meta name="twitter:title" content="Introduction to quantum spin systems" /> <meta name="twitter:description" content="This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical" /> <meta name="twitter:image" content="http://a.academia-assets.com/images/twitter-card.jpeg" /> <meta property="fb:app_id" content="2369844204" /> <meta property="og:type" content="article" /> <meta property="og:url" content="https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems" /> <meta property="og:title" content="Introduction to quantum spin systems" /> <meta property="og:image" content="http://a.academia-assets.com/images/open-graph-icons/fb-paper.gif" /> <meta property="og:description" content="This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical" /> <meta property="article:author" content="https://sharif.academia.edu/AbdollahLangari" /> <meta name="description" content="This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical" /> <title>(PDF) Introduction to quantum spin systems | Abdollah Langari - Academia.edu</title> <link rel="canonical" href="https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems" /> <script async src="https://www.googletagmanager.com/gtag/js?id=G-5VKX33P2DS"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5VKX33P2DS', { cookie_domain: 'academia.edu', send_page_view: false, }); gtag('event', 'page_view', { 'controller': "single_work", 'action': "show", 'controller_action': 'single_work#show', 'logged_in': 'false', 'edge': 'unknown', // Send nil if there is no A/B test bucket, in case some records get logged // with missing data - that way we can distinguish between the two cases. // ab_test_bucket should be of the form <ab_test_name>:<bucket> 'ab_test_bucket': null, }) </script> <script> var $controller_name = 'single_work'; var $action_name = "show"; var $rails_env = 'production'; var $app_rev = '49879c2402910372f4abc62630a427bbe033d190'; var $domain = 'academia.edu'; var $app_host = "academia.edu"; var $asset_host = "academia-assets.com"; var $start_time = new Date().getTime(); var $recaptcha_key = "6LdxlRMTAAAAADnu_zyLhLg0YF9uACwz78shpjJB"; var $recaptcha_invisible_key = "6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj"; var $disableClientRecordHit = false; </script> <script> window.require = { config: function() { return function() {} } } </script> <script> window.Aedu = window.Aedu || {}; window.Aedu.hit_data = null; window.Aedu.serverRenderTime = new Date(1732451447000); window.Aedu.timeDifference = new Date().getTime() - 1732451447000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical exact diagonalization (Lanczos) alghorithm is explained in a pedagogical ground. This is a method to get some ground state properties on finite cluster of lattice models. Two extensions of Lanczos method to get the excited states and also finite temperature properties of quantum models are also explained. The basic notions of quantum phase transition is discussed in term of Ising model in transverse field. Its phase diagram and critical properties are explained using the quantum renormalization group approach. Most of the topics are in tutorial level with hints to recent research activities.","author":[{"@context":"https://schema.org","@type":"Person","name":"Abdollah Langari"}],"contributor":[],"dateCreated":"2021-12-10","dateModified":"2021-12-10","datePublished":"2008-01-01","headline":"Introduction to quantum spin systems","inLanguage":"en","keywords":["Physics"],"locationCreated":null,"publication":"Iranian Journal of Physics Research","publisher":{"@context":"https://schema.org","@type":"Organization","name":null},"image":null,"thumbnailUrl":null,"url":"https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems","sourceOrganization":[{"@context":"https://schema.org","@type":"EducationalOrganization","name":"sharif"}]}</script><link rel="stylesheet" media="all" href="//a.academia-assets.com/assets/single_work_page/loswp-352e32ba4e89304dc0b4fa5b3952eef2198174c54cdb79066bc62e91c68a1a91.css" /><link rel="stylesheet" media="all" href="//a.academia-assets.com/assets/design_system/body-8d679e925718b5e8e4b18e9a4fab37f7eaa99e43386459376559080ac8f2856a.css" /><link rel="stylesheet" media="all" href="//a.academia-assets.com/assets/design_system/button-3cea6e0ad4715ed965c49bfb15dedfc632787b32ff6d8c3a474182b231146ab7.css" /><link rel="stylesheet" media="all" href="//a.academia-assets.com/assets/design_system/text_button-73590134e40cdb49f9abdc8e796cc00dc362693f3f0f6137d6cf9bb78c318ce7.css" /><link crossorigin="" href="https://fonts.gstatic.com/" rel="preconnect" /><link href="https://fonts.googleapis.com/css2?family=DM+Sans:ital,opsz,wght@0,9..40,100..1000;1,9..40,100..1000&family=Gupter:wght@400;500;700&family=IBM+Plex+Mono:wght@300;400&family=Material+Symbols+Outlined:opsz,wght,FILL,GRAD@20,400,0,0&display=swap" rel="stylesheet" /><link rel="stylesheet" media="all" href="//a.academia-assets.com/assets/design_system/common-10fa40af19d25203774df2d4a03b9b5771b45109c2304968038e88a81d1215c5.css" /> </head> <body> <div id='react-modal'></div> <div class="js-upgrade-ie-banner" style="display: none; text-align: center; padding: 8px 0; background-color: #ebe480;"><p style="color: #000; font-size: 12px; margin: 0 0 4px;">Academia.edu no longer supports Internet Explorer.</p><p style="color: #000; font-size: 12px; margin: 0;">To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to <a href="https://www.academia.edu/upgrade-browser">upgrade your browser</a>.</p></div><script>// Show this banner for all versions of IE if (!!window.MSInputMethodContext || /(MSIE)/.test(navigator.userAgent)) { document.querySelector('.js-upgrade-ie-banner').style.display = 'block'; }</script> <div class="bootstrap login"><div class="modal fade login-modal" id="login-modal"><div class="login-modal-dialog modal-dialog"><div class="modal-content"><div class="modal-header"><button class="close close" data-dismiss="modal" type="button"><span aria-hidden="true">×</span><span class="sr-only">Close</span></button><h4 class="modal-title text-center"><strong>Log In</strong></h4></div><div class="modal-body"><div class="row"><div class="col-xs-10 col-xs-offset-1"><button class="btn btn-fb btn-lg btn-block btn-v-center-content" id="login-facebook-oauth-button"><svg style="float: left; width: 19px; line-height: 1em; margin-right: .3em;" aria-hidden="true" focusable="false" data-prefix="fab" data-icon="facebook-square" class="svg-inline--fa fa-facebook-square fa-w-14" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512"><path fill="currentColor" d="M400 32H48A48 48 0 0 0 0 80v352a48 48 0 0 0 48 48h137.25V327.69h-63V256h63v-54.64c0-62.15 37-96.48 93.67-96.48 27.14 0 55.52 4.84 55.52 4.84v61h-31.27c-30.81 0-40.42 19.12-40.42 38.73V256h68.78l-11 71.69h-57.78V480H400a48 48 0 0 0 48-48V80a48 48 0 0 0-48-48z"></path></svg><small><strong>Log in</strong> with <strong>Facebook</strong></small></button><br /><button class="btn btn-google btn-lg btn-block btn-v-center-content" id="login-google-oauth-button"><svg style="float: left; width: 22px; line-height: 1em; margin-right: .3em;" aria-hidden="true" focusable="false" data-prefix="fab" data-icon="google-plus" class="svg-inline--fa fa-google-plus fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M256,8C119.1,8,8,119.1,8,256S119.1,504,256,504,504,392.9,504,256,392.9,8,256,8ZM185.3,380a124,124,0,0,1,0-248c31.3,0,60.1,11,83,32.3l-33.6,32.6c-13.2-12.9-31.3-19.1-49.4-19.1-42.9,0-77.2,35.5-77.2,78.1S142.3,334,185.3,334c32.6,0,64.9-19.1,70.1-53.3H185.3V238.1H302.2a109.2,109.2,0,0,1,1.9,20.7c0,70.8-47.5,121.2-118.8,121.2ZM415.5,273.8v35.5H380V273.8H344.5V238.3H380V202.8h35.5v35.5h35.2v35.5Z"></path></svg><small><strong>Log in</strong> with <strong>Google</strong></small></button><br /><style type="text/css">.sign-in-with-apple-button { width: 100%; height: 52px; border-radius: 3px; border: 1px solid black; cursor: pointer; }</style><script src="https://appleid.cdn-apple.com/appleauth/static/jsapi/appleid/1/en_US/appleid.auth.js" type="text/javascript"></script><div class="sign-in-with-apple-button" data-border="false" data-color="white" id="appleid-signin"><span   ="Sign Up with Apple" class="u-fs11"></span></div><script>AppleID.auth.init({ clientId: 'edu.academia.applesignon', scope: 'name email', redirectURI: 'https://www.academia.edu/sessions', state: "d769b97594fae7b3f73ccb91401fa4269900f134f24ca876b889cb9bf248e15e", });</script><script>// Hacky way of checking if on fast loswp if (window.loswp == null) { (function() { const Google = window?.Aedu?.Auth?.OauthButton?.Login?.Google; const Facebook = window?.Aedu?.Auth?.OauthButton?.Login?.Facebook; if (Google) { new Google({ el: '#login-google-oauth-button', rememberMeCheckboxId: 'remember_me', track: null }); } if (Facebook) { new Facebook({ el: '#login-facebook-oauth-button', rememberMeCheckboxId: 'remember_me', track: null }); } })(); }</script></div></div></div><div class="modal-body"><div class="row"><div class="col-xs-10 col-xs-offset-1"><div class="hr-heading login-hr-heading"><span class="hr-heading-text">or</span></div></div></div></div><div class="modal-body"><div class="row"><div class="col-xs-10 col-xs-offset-1"><form class="js-login-form" action="https://www.academia.edu/sessions" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="✓" autocomplete="off" /><input type="hidden" name="authenticity_token" value="GFlE1X2MP6guPyhmdqRRizCOZFvxTSANOHn95PL7RN6luFtbLLnl2f29DphvCY/H+zt/5ySUbG5+fbwT3+o67w==" autocomplete="off" /><div class="form-group"><label class="control-label" for="login-modal-email-input" style="font-size: 14px;">Email</label><input class="form-control" id="login-modal-email-input" name="login" type="email" /></div><div class="form-group"><label class="control-label" for="login-modal-password-input" style="font-size: 14px;">Password</label><input class="form-control" id="login-modal-password-input" name="password" type="password" /></div><input type="hidden" name="post_login_redirect_url" id="post_login_redirect_url" value="https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems" autocomplete="off" /><div class="checkbox"><label><input type="checkbox" name="remember_me" id="remember_me" value="1" checked="checked" /><small style="font-size: 12px; margin-top: 2px; display: inline-block;">Remember me on this computer</small></label></div><br><input type="submit" name="commit" value="Log In" class="btn btn-primary btn-block btn-lg js-login-submit" data-disable-with="Log In" /></br></form><script>typeof window?.Aedu?.recaptchaManagedForm === 'function' && window.Aedu.recaptchaManagedForm( document.querySelector('.js-login-form'), document.querySelector('.js-login-submit') );</script><small style="font-size: 12px;"><br />or <a data-target="#login-modal-reset-password-container" data-toggle="collapse" href="javascript:void(0)">reset password</a></small><div class="collapse" id="login-modal-reset-password-container"><br /><div class="well margin-0x"><form class="js-password-reset-form" action="https://www.academia.edu/reset_password" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="✓" autocomplete="off" /><input type="hidden" name="authenticity_token" value="1VutuPPGYgh0eg57/sRazW3Q33LoStTPMWn8gXv1I4JourI2ovO4eaf4KIXnaYSBpmXEzj2TmKx3bb12VuRdsw==" autocomplete="off" /><p>Enter the email address you signed up with and we'll email you a reset link.</p><div class="form-group"><input class="form-control" name="email" type="email" /></div><input class="btn btn-primary btn-block g-recaptcha js-password-reset-submit" data-sitekey="6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj" type="submit" value="Email me a link" /></form></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/collapse-45805421cf446ca5adf7aaa1935b08a3a8d1d9a6cc5d91a62a2a3a00b20b3e6a.js"], function() { // from javascript_helper.rb $("#login-modal-reset-password-container").on("shown.bs.collapse", function() { $(this).find("input[type=email]").focus(); }); }); </script> </div></div></div><div class="modal-footer"><div class="text-center"><small style="font-size: 12px;">Need an account? <a rel="nofollow" href="https://www.academia.edu/signup">Click here to sign up</a></small></div></div></div></div></div></div><script>// If we are on subdomain or non-bootstrapped page, redirect to login page instead of showing modal (function(){ if (typeof $ === 'undefined') return; var host = window.location.hostname; if ((host === $domain || host === "www."+$domain) && (typeof $().modal === 'function')) { $("#nav_log_in").click(function(e) { // Don't follow the link and open the modal e.preventDefault(); $("#login-modal").on('shown.bs.modal', function() { $(this).find("#login-modal-email-input").focus() }).modal('show'); }); } })()</script> <div id="fb-root"></div><script>window.fbAsyncInit = function() { FB.init({ appId: "2369844204", version: "v8.0", status: true, cookie: true, xfbml: true }); // Additional initialization code. if (window.InitFacebook) { // facebook.ts already loaded, set it up. window.InitFacebook(); } else { // Set a flag for facebook.ts to find when it loads. window.academiaAuthReadyFacebook = true; } };</script> <div id="google-root"></div><script>window.loadGoogle = function() { if (window.InitGoogle) { // google.ts already loaded, set it up. window.InitGoogle("331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b"); } else { // Set a flag for google.ts to use when it loads. window.GoogleClientID = "331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b"; } };</script> <div class="header--container" id="main-header-container"><div class="header--inner-container header--inner-container-ds2"><div class="header-ds2--left-wrapper"><div class="header-ds2--left-wrapper-inner"><a data-main-header-link-target="logo_home" href="https://www.academia.edu/"><img class="hide-on-desktop-redesign" style="height: 24px; width: 24px;" alt="Academia.edu" src="//a.academia-assets.com/images/academia-logo-redesign-2015-A.svg" width="24" height="24" /><img width="145.2" height="18" class="hide-on-mobile-redesign" style="height: 24px;" alt="Academia.edu" src="//a.academia-assets.com/images/academia-logo-redesign-2015.svg" /></a><div class="header--search-container header--search-container-ds2"><form class="js-SiteSearch-form select2-no-default-pills" action="https://www.academia.edu/search" accept-charset="UTF-8" method="get"><input name="utf8" type="hidden" value="✓" autocomplete="off" /><svg style="width: 14px; height: 14px;" aria-hidden="true" focusable="false" data-prefix="fas" data-icon="search" class="header--search-icon svg-inline--fa fa-search fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M505 442.7L405.3 343c-4.5-4.5-10.6-7-17-7H372c27.6-35.3 44-79.7 44-128C416 93.1 322.9 0 208 0S0 93.1 0 208s93.1 208 208 208c48.3 0 92.7-16.4 128-44v16.3c0 6.4 2.5 12.5 7 17l99.7 99.7c9.4 9.4 24.6 9.4 33.9 0l28.3-28.3c9.4-9.4 9.4-24.6.1-34zM208 336c-70.7 0-128-57.2-128-128 0-70.7 57.2-128 128-128 70.7 0 128 57.2 128 128 0 70.7-57.2 128-128 128z"></path></svg><input class="header--search-input header--search-input-ds2 js-SiteSearch-form-input" data-main-header-click-target="search_input" name="q" placeholder="Search" type="text" /></form></div></div></div><nav class="header--nav-buttons header--nav-buttons-ds2 js-main-nav"><a class="ds2-5-button ds2-5-button--secondary js-header-login-url header-button-ds2 header-login-ds2 hide-on-mobile-redesign" href="https://www.academia.edu/login" rel="nofollow">Log In</a><a class="ds2-5-button ds2-5-button--secondary header-button-ds2 hide-on-mobile-redesign" href="https://www.academia.edu/signup" rel="nofollow">Sign Up</a><button class="header--hamburger-button header--hamburger-button-ds2 hide-on-desktop-redesign js-header-hamburger-button"><div class="icon-bar"></div><div class="icon-bar" style="margin-top: 4px;"></div><div class="icon-bar" style="margin-top: 4px;"></div></button></nav></div><ul class="header--dropdown-container js-header-dropdown"><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/login" rel="nofollow">Log In</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/signup" rel="nofollow">Sign Up</a></li><li class="header--dropdown-row js-header-dropdown-expand-button"><button class="header--dropdown-button">more<svg aria-hidden="true" focusable="false" data-prefix="fas" data-icon="caret-down" class="header--dropdown-button-icon svg-inline--fa fa-caret-down fa-w-10" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 320 512"><path fill="currentColor" d="M31.3 192h257.3c17.8 0 26.7 21.5 14.1 34.1L174.1 354.8c-7.8 7.8-20.5 7.8-28.3 0L17.2 226.1C4.6 213.5 13.5 192 31.3 192z"></path></svg></button></li><li><ul class="header--expanded-dropdown-container"><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/about">About</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/press">Press</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://medium.com/@academia">Blog</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/documents">Papers</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/terms">Terms</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/privacy">Privacy</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/copyright">Copyright</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://www.academia.edu/hiring"><svg aria-hidden="true" focusable="false" data-prefix="fas" data-icon="briefcase" class="header--dropdown-row-icon svg-inline--fa fa-briefcase fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M320 336c0 8.84-7.16 16-16 16h-96c-8.84 0-16-7.16-16-16v-48H0v144c0 25.6 22.4 48 48 48h416c25.6 0 48-22.4 48-48V288H320v48zm144-208h-80V80c0-25.6-22.4-48-48-48H176c-25.6 0-48 22.4-48 48v48H48c-25.6 0-48 22.4-48 48v80h512v-80c0-25.6-22.4-48-48-48zm-144 0H192V96h128v32z"></path></svg>We're Hiring!</a></li><li class="header--dropdown-row"><a class="header--dropdown-link" href="https://support.academia.edu/"><svg aria-hidden="true" focusable="false" data-prefix="fas" data-icon="question-circle" class="header--dropdown-row-icon svg-inline--fa fa-question-circle fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M504 256c0 136.997-111.043 248-248 248S8 392.997 8 256C8 119.083 119.043 8 256 8s248 111.083 248 248zM262.655 90c-54.497 0-89.255 22.957-116.549 63.758-3.536 5.286-2.353 12.415 2.715 16.258l34.699 26.31c5.205 3.947 12.621 3.008 16.665-2.122 17.864-22.658 30.113-35.797 57.303-35.797 20.429 0 45.698 13.148 45.698 32.958 0 14.976-12.363 22.667-32.534 33.976C247.128 238.528 216 254.941 216 296v4c0 6.627 5.373 12 12 12h56c6.627 0 12-5.373 12-12v-1.333c0-28.462 83.186-29.647 83.186-106.667 0-58.002-60.165-102-116.531-102zM256 338c-25.365 0-46 20.635-46 46 0 25.364 20.635 46 46 46s46-20.636 46-46c0-25.365-20.635-46-46-46z"></path></svg>Help Center</a></li><li class="header--dropdown-row js-header-dropdown-collapse-button"><button class="header--dropdown-button">less<svg aria-hidden="true" focusable="false" data-prefix="fas" data-icon="caret-up" class="header--dropdown-button-icon svg-inline--fa fa-caret-up fa-w-10" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 320 512"><path fill="currentColor" d="M288.662 352H31.338c-17.818 0-26.741-21.543-14.142-34.142l128.662-128.662c7.81-7.81 20.474-7.81 28.284 0l128.662 128.662c12.6 12.599 3.676 34.142-14.142 34.142z"></path></svg></button></li></ul></li></ul></div> <script src="//a.academia-assets.com/assets/webpack_bundles/fast_loswp-bundle-bf3d831cde46cd0e142f29f81a3fc4ce5ab45a404c10c12a480e83de68aff851.js" defer="defer"></script><script>window.loswp = {}; window.loswp.author = 207613; window.loswp.bulkDownloadFilterCounts = {}; window.loswp.hasDownloadableAttachment = true; window.loswp.hasViewableAttachments = true; // TODO: just use routes for this window.loswp.loginUrl = "https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F63824673%2FIntroduction_to_quantum_spin_systems%3Fauto%3Ddownload"; window.loswp.translateUrl = "https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F63824673%2FIntroduction_to_quantum_spin_systems%3Fshow_translation%3Dtrue"; window.loswp.previewableAttachments = [{"id":76119149,"identifier":"Attachment_76119149","shouldShowBulkDownload":false}]; window.loswp.shouldDetectTimezone = true; window.loswp.shouldShowBulkDownload = true; window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":63824673,"created_at":"2021-12-10T22:13:54.953-08:00","from_world_paper_id":186555944,"updated_at":"2023-08-26T10:43:41.192-07:00","_data":{"abstract":"This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical exact diagonalization (Lanczos) alghorithm is explained in a pedagogical ground. This is a method to get some ground state properties on finite cluster of lattice models. Two extensions of Lanczos method to get the excited states and also finite temperature properties of quantum models are also explained. The basic notions of quantum phase transition is discussed in term of Ising model in transverse field. Its phase diagram and critical properties are explained using the quantum renormalization group approach. Most of the topics are in tutorial level with hints to recent research activities.","publication_date":"2008,,","publication_name":"Iranian Journal of Physics Research"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Introduction to quantum spin systems","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [207613]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":76119149,"attachmentType":"pdf"}"><img alt="First page of “Introduction to quantum spin systems”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/76119149/mini_magick20211210-13276-1as32w5.png?1639203336" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Introduction to quantum spin systems</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="207613" href="https://sharif.academia.edu/AbdollahLangari"><img alt="Profile image of Abdollah Langari" class="ds-work-card--author-avatar" src="//a.academia-assets.com/images/s65_no_pic.png" />Abdollah Langari</a></div><p class="ds-work-card--detail ds2-5-body-sm">2008, Iranian Journal of Physics Research</p><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical exact diagonalization (Lanczos) alghorithm is explained in a pedagogical ground. This is a method to get some ground state properties on finite cluster of lattice models. Two extensions of Lanczos method to get the excited states and also finite temperature properties of quantum models are also explained. The basic notions of quantum phase transition is discussed in term of Ising model in transverse field. Its phase diagram and critical properties are explained using the quantum renormalization group approach. Most of the topics are in tutorial level with hints to recent research activities.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":76119149,"attachmentType":"pdf","workUrl":"https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":76119149,"attachmentType":"pdf","workUrl":"https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div></div><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="76119149" data-landing_url="https://www.academia.edu/63824673/Introduction_to_quantum_spin_systems" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="24456791" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/24456791/Computational_Studies_of_Quantum_Spin_Systems">Computational Studies of Quantum Spin Systems</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="46968782" href="https://independent.academia.edu/FerdinandoMancini1">Ferdinando Mancini</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2010</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Computational Studies of Quantum Spin Systems","attachmentId":44788598,"attachmentType":"pdf","work_url":"https://www.academia.edu/24456791/Computational_Studies_of_Quantum_Spin_Systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/24456791/Computational_Studies_of_Quantum_Spin_Systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="47374122" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/47374122/Quantum_Spin_Systems">Quantum Spin Systems</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43136776" href="https://independent.academia.edu/BrunoNachtergaele">Bruno Nachtergaele</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Encyclopedia of Mathematical Physics, 2006</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum Spin Systems","attachmentId":66498882,"attachmentType":"pdf","work_url":"https://www.academia.edu/47374122/Quantum_Spin_Systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/47374122/Quantum_Spin_Systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="121565820" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/121565820/Quantum_Effects_and_Critical_Behavior_in_Low_Dimensional_Spin_1_2_Systems">Quantum Effects and Critical Behavior in Low-Dimensional Spin-1/2 Systems</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14026973" href="https://trismegistos.academia.edu/RafDekeyser">Raf Dekeyser</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Acta Physica Polonica A, 1997</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum Effects and Critical Behavior in Low-Dimensional Spin-1/2 Systems","attachmentId":116408960,"attachmentType":"pdf","work_url":"https://www.academia.edu/121565820/Quantum_Effects_and_Critical_Behavior_in_Low_Dimensional_Spin_1_2_Systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/121565820/Quantum_Effects_and_Critical_Behavior_in_Low_Dimensional_Spin_1_2_Systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="114853152" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114853152/Exact_ground_states_of_a_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Ising_Heisenberg_model_on_the_Shastry_Sutherland_lattice_in_a_magnetic_field">Exact ground states of a spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="283577552" href="https://independent.academia.edu/JozefStrecka">Jozef Strecka</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2014</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Exact ground states of a spin-\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003cmml:mfrac\u003e\u003cmml:mn\u003e1\u003c/mml:mn\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mfrac\u003e\u003c/mml:math\u003eIsing-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field","attachmentId":111432477,"attachmentType":"pdf","work_url":"https://www.academia.edu/114853152/Exact_ground_states_of_a_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Ising_Heisenberg_model_on_the_Shastry_Sutherland_lattice_in_a_magnetic_field","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/114853152/Exact_ground_states_of_a_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Ising_Heisenberg_model_on_the_Shastry_Sutherland_lattice_in_a_magnetic_field"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="20709753" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/20709753/Quantum_phase_transitions_in_the_transverse_one_dimensional_Ising_model_with_four_spin_interactions">Quantum phase transitions in the transverse one-dimensional Ising model with four-spin interactions</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="11554987" href="https://up.academia.edu/OzBonfim">Oz Bonfim</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2006</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum phase transitions in the transverse one-dimensional Ising model with four-spin interactions","attachmentId":41518691,"attachmentType":"pdf","work_url":"https://www.academia.edu/20709753/Quantum_phase_transitions_in_the_transverse_one_dimensional_Ising_model_with_four_spin_interactions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/20709753/Quantum_phase_transitions_in_the_transverse_one_dimensional_Ising_model_with_four_spin_interactions"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="48119607" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/48119607/The_coupled_cluster_method_applied_to_quantum_magnetism">The coupled cluster method applied to quantum magnetism</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="5859577" href="https://independent.academia.edu/RaymondBishop">Raymond Bishop</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Lecture Notes in Physics, 2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The coupled cluster method applied to quantum magnetism","attachmentId":66897244,"attachmentType":"pdf","work_url":"https://www.academia.edu/48119607/The_coupled_cluster_method_applied_to_quantum_magnetism","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/48119607/The_coupled_cluster_method_applied_to_quantum_magnetism"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="21952996" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/21952996/Recent_progress_in_quantum_spin_systems">Recent progress in quantum spin systems</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43202336" href="https://independent.academia.edu/RobertSims3">Robert Sims</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2007</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Recent progress in quantum spin systems","attachmentId":42673637,"attachmentType":"pdf","work_url":"https://www.academia.edu/21952996/Recent_progress_in_quantum_spin_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/21952996/Recent_progress_in_quantum_spin_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="114853180" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114853180/Spontaneous_Magnetization_and_Phase_Diagrams_of_the_Mixed_Spin_1_2_and_Spin_S_Ising_Model_on_the_Bethe_Lattice">Spontaneous Magnetization and Phase Diagrams of the Mixed Spin-1/2 and Spin-S Ising Model on the Bethe Lattice</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="283577552" href="https://independent.academia.edu/JozefStrecka">Jozef Strecka</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Acta Physica Polonica A, 2017</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Spontaneous Magnetization and Phase Diagrams of the Mixed Spin-1/2 and Spin-S Ising Model on the Bethe Lattice","attachmentId":111432522,"attachmentType":"pdf","work_url":"https://www.academia.edu/114853180/Spontaneous_Magnetization_and_Phase_Diagrams_of_the_Mixed_Spin_1_2_and_Spin_S_Ising_Model_on_the_Bethe_Lattice","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/114853180/Spontaneous_Magnetization_and_Phase_Diagrams_of_the_Mixed_Spin_1_2_and_Spin_S_Ising_Model_on_the_Bethe_Lattice"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="20709765" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/20709765/Quantum_phase_transitions_in_the_transverse_1_D_Ising_model_with_four_spin_interactions">Quantum phase transitions in the transverse 1-D Ising model with four-spin interactions</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="11554987" href="https://up.academia.edu/OzBonfim">Oz Bonfim</a></div><p class="ds-related-work--abstract ds2-5-body-sm">In this work we investigate phase transitions in the transverse Ising model with four-spin interactions, induced by quantum fluctuations. The model is relevant to the physics of poly(vinylidenefluoride-trifluoroethylene)[P(VDF-TrFE)]. We calculate the ground state and the first excited state energies of the system using Lanczos method. Our calculations are performed using rings up to 20 spins. Finite size scaling is applied to the energy gap to obtain the boundary region where a ferromagnetic to paramagnetic transition takes place, as well as the corresponding critical exponents. A new degenerate phase region is found. The first-order transition boundary between this new phase and the paramagnetic phase is determined by analyzing the behavior of the transverse spin magnetization as the system moves from one region to the other.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum phase transitions in the transverse 1-D Ising model with four-spin interactions","attachmentId":41518695,"attachmentType":"pdf","work_url":"https://www.academia.edu/20709765/Quantum_phase_transitions_in_the_transverse_1_D_Ising_model_with_four_spin_interactions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/20709765/Quantum_phase_transitions_in_the_transverse_1_D_Ising_model_with_four_spin_interactions"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="117494088" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/117494088/Applications_of_Density_Matrix_Renormalization_Group_to_Problems_in_Magnetism">Applications of Density Matrix Renormalization Group to Problems in Magnetism</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="131343574" href="https://independent.academia.edu/RBursill">Robert Bursill</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Acta Physica Polonica A, 1997</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Applications of Density Matrix Renormalization Group to Problems in Magnetism","attachmentId":113336248,"attachmentType":"pdf","work_url":"https://www.academia.edu/117494088/Applications_of_Density_Matrix_Renormalization_Group_to_Problems_in_Magnetism","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/117494088/Applications_of_Density_Matrix_Renormalization_Group_to_Problems_in_Magnetism"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":76119149,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":76119149,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_76119149" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. You can download the paper by clicking the button above.</p></div></div></div></div><div class="ds-sidebar--container js-work-sidebar"><div class="ds-related-content--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="0" data-entity-id="2750956" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/2750956/Exact_ground_state_of_quantum_spin_systems">Exact ground state of quantum spin systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="207613" href="https://sharif.academia.edu/AbdollahLangari">Abdollah Langari</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Exact ground state of quantum spin systems","attachmentId":30723228,"attachmentType":"pdf","work_url":"https://www.academia.edu/2750956/Exact_ground_state_of_quantum_spin_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/2750956/Exact_ground_state_of_quantum_spin_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="1" data-entity-id="48119918" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/48119918/Highly_frustrated_spin_lattice_models_of_magnetism_and_their_quantum_phase_transitions_A_microscopic_treatment_via_the_coupled_cluster_method">Highly frustrated spin-lattice models of magnetism and their quantum phase transitions: A microscopic treatment via the coupled cluster method</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="5859577" href="https://independent.academia.edu/RaymondBishop">Raymond Bishop</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Highly frustrated spin-lattice models of magnetism and their quantum phase transitions: A microscopic treatment via the coupled cluster method","attachmentId":66897354,"attachmentType":"pdf","work_url":"https://www.academia.edu/48119918/Highly_frustrated_spin_lattice_models_of_magnetism_and_their_quantum_phase_transitions_A_microscopic_treatment_via_the_coupled_cluster_method","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/48119918/Highly_frustrated_spin_lattice_models_of_magnetism_and_their_quantum_phase_transitions_A_microscopic_treatment_via_the_coupled_cluster_method"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="2" data-entity-id="14222347" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/14222347/Numerical_contractor_renormalization_method_for_quantum_spin_models">Numerical contractor renormalization method for quantum spin models</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="33203630" href="https://ups-tlse.academia.edu/SylvainCapponi">Sylvain Capponi</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Numerical contractor renormalization method for quantum spin models","attachmentId":44445811,"attachmentType":"pdf","work_url":"https://www.academia.edu/14222347/Numerical_contractor_renormalization_method_for_quantum_spin_models","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/14222347/Numerical_contractor_renormalization_method_for_quantum_spin_models"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="3" data-entity-id="114853076" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114853076/On_the_nature_of_intermediate_magnetization_plateaus_in_the_spin_1_2_Ising_Heisenberg_and_Heisenberg_models_on_two_dimensional_triangulated_lattices">On the nature of intermediate magnetization plateaus in the spin-1/2 Ising-Heisenberg and Heisenberg models on two-dimensional triangulated lattices</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="283577552" href="https://independent.academia.edu/JozefStrecka">Jozef Strecka</a></div><p class="ds-related-work--metadata ds2-5-body-xs">arXiv (Cornell University), 2013</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On the nature of intermediate magnetization plateaus in the spin-1/2 Ising-Heisenberg and Heisenberg models on two-dimensional triangulated lattices","attachmentId":111432630,"attachmentType":"pdf","work_url":"https://www.academia.edu/114853076/On_the_nature_of_intermediate_magnetization_plateaus_in_the_spin_1_2_Ising_Heisenberg_and_Heisenberg_models_on_two_dimensional_triangulated_lattices","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/114853076/On_the_nature_of_intermediate_magnetization_plateaus_in_the_spin_1_2_Ising_Heisenberg_and_Heisenberg_models_on_two_dimensional_triangulated_lattices"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="4" data-entity-id="114852910" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114852910/Exact_ground_states_of_a_spin_12Ising_Heisenberg_model_on_the_Shastry_Sutherland_lattice_in_a_magnetic_field">Exact ground states of a spin-12Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="283577552" href="https://independent.academia.edu/JozefStrecka">Jozef Strecka</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2014</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Exact ground states of a spin-12Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field","attachmentId":111432502,"attachmentType":"pdf","work_url":"https://www.academia.edu/114852910/Exact_ground_states_of_a_spin_12Ising_Heisenberg_model_on_the_Shastry_Sutherland_lattice_in_a_magnetic_field","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/114852910/Exact_ground_states_of_a_spin_12Ising_Heisenberg_model_on_the_Shastry_Sutherland_lattice_in_a_magnetic_field"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="5" data-entity-id="68587225" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/68587225/Exact_diagonalization_for_spin_1_2_chains_and_the_first_order_quantum_phase_transitions_of_the_XXX_chain_in_a_uniform_transverse_field">Exact diagonalization for spin-1/2 chains and the first order quantum phase transitions of the XXX chain in a uniform transverse field</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="109414763" href="https://independent.academia.edu/JerryPDraayer">Jerry P Draayer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Physics: Condensed Matter, 2007</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Exact diagonalization for spin-1/2 chains and the first order quantum phase transitions of the XXX chain in a uniform transverse field","attachmentId":79014525,"attachmentType":"pdf","work_url":"https://www.academia.edu/68587225/Exact_diagonalization_for_spin_1_2_chains_and_the_first_order_quantum_phase_transitions_of_the_XXX_chain_in_a_uniform_transverse_field","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/68587225/Exact_diagonalization_for_spin_1_2_chains_and_the_first_order_quantum_phase_transitions_of_the_XXX_chain_in_a_uniform_transverse_field"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="6" data-entity-id="116681797" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/116681797/Quantum_cluster_variational_method_and_phase_diagram_of_the_quantum_ferromagnetic_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mrow_mml_msub_mml_mi_J_mml_mi_mml_mn_1_mml_mn_mml_msub_mml_mtext_mml_mtext_mml_msub_mml_mi_J_mml_mi_mml_mn_2_mml_mn_mml_msub_mml_mrow_">Quantum cluster variational method and phase diagram of the quantum ferromagnetic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow...</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35690117" href="https://independent.academia.edu/RobertoMulet">Roberto Mulet</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical review, 2021</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum cluster variational method and phase diagram of the quantum ferromagnetic \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mi\u003eJ\u003c/mml:mi\u003e\u003cmml:mn\u003e1\u003c/mml:mn\u003e\u003c/mml:msub\u003e\u003cmml:mtext\u003e−\u003c/mml:mtext\u003e\u003cmml:msub\u003e\u003cmml:mi\u003eJ\u003c/mml:mi\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:msub\u003e\u003c/mml:mrow...","attachmentId":112743067,"attachmentType":"pdf","work_url":"https://www.academia.edu/116681797/Quantum_cluster_variational_method_and_phase_diagram_of_the_quantum_ferromagnetic_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mrow_mml_msub_mml_mi_J_mml_mi_mml_mn_1_mml_mn_mml_msub_mml_mtext_mml_mtext_mml_msub_mml_mi_J_mml_mi_mml_mn_2_mml_mn_mml_msub_mml_mrow_","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/116681797/Quantum_cluster_variational_method_and_phase_diagram_of_the_quantum_ferromagnetic_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mrow_mml_msub_mml_mi_J_mml_mi_mml_mn_1_mml_mn_mml_msub_mml_mtext_mml_mtext_mml_msub_mml_mi_J_mml_mi_mml_mn_2_mml_mn_mml_msub_mml_mrow_"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="7" data-entity-id="47374126" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/47374126/Quantum_spin_systems_after_DLS_1978">Quantum spin systems after DLS 1978</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43136776" href="https://independent.academia.edu/BrunoNachtergaele">Bruno Nachtergaele</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Proceedings of Symposia in Pure Mathematics, 2007</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum spin systems after DLS 1978","attachmentId":66498942,"attachmentType":"pdf","work_url":"https://www.academia.edu/47374126/Quantum_spin_systems_after_DLS_1978","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/47374126/Quantum_spin_systems_after_DLS_1978"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="8" data-entity-id="2651333" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/2651333/Unified_renormalization_group_approach_to_the_thermodynamic_and_ground_state_properties_of_quantum_lattice_systems">Unified renormalization-group approach to the thermodynamic and ground-state properties of quantum lattice systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="3374840" href="https://uhasselt.academia.edu/CarloVanderzande">Carlo Vanderzande</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 1983</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Unified renormalization-group approach to the thermodynamic and ground-state properties of quantum lattice systems","attachmentId":50552504,"attachmentType":"pdf","work_url":"https://www.academia.edu/2651333/Unified_renormalization_group_approach_to_the_thermodynamic_and_ground_state_properties_of_quantum_lattice_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/2651333/Unified_renormalization_group_approach_to_the_thermodynamic_and_ground_state_properties_of_quantum_lattice_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="9" data-entity-id="17874842" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/17874842/Energy_level_structure_and_quantum_phase_transitions_of_spin_systems_with_nonaxially_symmetric_Hamiltonians">Energy level structure and quantum phase transitions of spin systems with nonaxially symmetric Hamiltonians</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="37786439" href="https://unam.academia.edu/EnriqueL%C3%B3pezmoreno">Enrique López-Moreno</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Physics A: Mathematical and Theoretical, 2011</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Energy level structure and quantum phase transitions of spin systems with nonaxially symmetric Hamiltonians","attachmentId":41982321,"attachmentType":"pdf","work_url":"https://www.academia.edu/17874842/Energy_level_structure_and_quantum_phase_transitions_of_spin_systems_with_nonaxially_symmetric_Hamiltonians","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/17874842/Energy_level_structure_and_quantum_phase_transitions_of_spin_systems_with_nonaxially_symmetric_Hamiltonians"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="10" data-entity-id="114853109" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114853109/Exact_solution_for_a_quantum_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Ising_Heisenberg_orthogonal_dimer_chain_with_Heisenberg_intradimer_and_Ising_interdimer_interactions">Exact solution for a quantum spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Ising-Heisenberg orthogonal-dimer chain with Heisenberg intradimer and Ising interdimer interactions</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="283577552" href="https://independent.academia.edu/JozefStrecka">Jozef Strecka</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2013</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Exact solution for a quantum spin-\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mfrac\u003e\u003cmml:mn\u003e1\u003c/mml:mn\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mfrac\u003e\u003c/mml:math\u003eIsing-Heisenberg orthogonal-dimer chain with Heisenberg intradimer and Ising interdimer interactions","attachmentId":111432418,"attachmentType":"pdf","work_url":"https://www.academia.edu/114853109/Exact_solution_for_a_quantum_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Ising_Heisenberg_orthogonal_dimer_chain_with_Heisenberg_intradimer_and_Ising_interdimer_interactions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/114853109/Exact_solution_for_a_quantum_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_display_inline_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Ising_Heisenberg_orthogonal_dimer_chain_with_Heisenberg_intradimer_and_Ising_interdimer_interactions"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="11" data-entity-id="100184560" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/100184560/Linked_cluster_series_expansion_technique_for_quantum_spin_systems">Linked-cluster series-expansion technique for quantum spin systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="4414854" href="https://independent.academia.edu/ChrisWentworth4">Chris Wentworth</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 1987</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Linked-cluster series-expansion technique for quantum spin systems","attachmentId":101079489,"attachmentType":"pdf","work_url":"https://www.academia.edu/100184560/Linked_cluster_series_expansion_technique_for_quantum_spin_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/100184560/Linked_cluster_series_expansion_technique_for_quantum_spin_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="12" data-entity-id="111471494" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/111471494/Renormalization_Group_Study_of_a_Two_Dimensional_Frustratedlike_Quantum_Spin_System">Renormalization-Group Study of a Two-Dimensional Frustratedlike Quantum Spin System</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="135945100" href="https://independent.academia.edu/KUzelac">Katarina Uzelac</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review Letters, 1980</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Renormalization-Group Study of a Two-Dimensional Frustratedlike Quantum Spin System","attachmentId":109001938,"attachmentType":"pdf","work_url":"https://www.academia.edu/111471494/Renormalization_Group_Study_of_a_Two_Dimensional_Frustratedlike_Quantum_Spin_System","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/111471494/Renormalization_Group_Study_of_a_Two_Dimensional_Frustratedlike_Quantum_Spin_System"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="13" data-entity-id="21932081" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/21932081/Phase_transitions_in_spin_systems_with_frustration">Phase transitions in spin systems with frustration</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43126373" href="https://independent.academia.edu/ValentinZagrebnov">Valentin Zagrebnov</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Theoretical and Mathematical Physics, 1980</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Phase transitions in spin systems with frustration","attachmentId":42657321,"attachmentType":"pdf","work_url":"https://www.academia.edu/21932081/Phase_transitions_in_spin_systems_with_frustration","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/21932081/Phase_transitions_in_spin_systems_with_frustration"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="14" data-entity-id="86513856" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/86513856/Monte_Carlo_studies_of_critical_phenomena_in_mixed_spin_3_2_and_spin_5_2_Ising_model_on_square_lattice">Monte Carlo studies of critical phenomena in mixed spin-3/2 and spin-5/2 Ising model on square lattice</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="160737105" href="https://independent.academia.edu/DELAESPRIELLANicolas">Nicolas DE LA ESPRIELLA</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Revista Mexicana de Fisica</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Monte Carlo studies of critical phenomena in mixed spin-3/2 and spin-5/2 Ising model on square lattice","attachmentId":90948794,"attachmentType":"pdf","work_url":"https://www.academia.edu/86513856/Monte_Carlo_studies_of_critical_phenomena_in_mixed_spin_3_2_and_spin_5_2_Ising_model_on_square_lattice","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/86513856/Monte_Carlo_studies_of_critical_phenomena_in_mixed_spin_3_2_and_spin_5_2_Ising_model_on_square_lattice"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="15" data-entity-id="61269826" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/61269826/Analytic_and_Numerical_Study_of_a_Hierarchical_Spin_Model">Analytic and Numerical Study of a Hierarchical Spin Model</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35164339" href="https://independent.academia.edu/MykhailoKozlovskii">Mykhailo Kozlovskii</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Condensed Matter Physics, 1999</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Analytic and Numerical Study of a Hierarchical Spin Model","attachmentId":74355468,"attachmentType":"pdf","work_url":"https://www.academia.edu/61269826/Analytic_and_Numerical_Study_of_a_Hierarchical_Spin_Model","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/61269826/Analytic_and_Numerical_Study_of_a_Hierarchical_Spin_Model"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="16" data-entity-id="52971298" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/52971298/A_Bernasconi_model_for_constructing_ground_state_spin_systems">A Bernasconi model for constructing ground-state spin systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="72149059" href="https://independent.academia.edu/AnatoliiLeukhin">Anatolii Leukhin</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Bulletin of the Russian Academy of Sciences: Physics, 2014</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A Bernasconi model for constructing ground-state spin systems","attachmentId":69975849,"attachmentType":"pdf","work_url":"https://www.academia.edu/52971298/A_Bernasconi_model_for_constructing_ground_state_spin_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/52971298/A_Bernasconi_model_for_constructing_ground_state_spin_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="17" data-entity-id="25466994" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/25466994/Exact_boson_representation_of_quantum_spin_systems_and_investigation_of_their_critical_behavior">Exact boson representation of quantum spin systems and investigation of their critical behavior</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="48975606" href="https://independent.academia.edu/VictorYakhot">Victor Yakhot</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Exact boson representation of quantum spin systems and investigation of their critical behavior","attachmentId":45783478,"attachmentType":"pdf","work_url":"https://www.academia.edu/25466994/Exact_boson_representation_of_quantum_spin_systems_and_investigation_of_their_critical_behavior","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/25466994/Exact_boson_representation_of_quantum_spin_systems_and_investigation_of_their_critical_behavior"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="18" data-entity-id="111994557" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/111994557/Magnetization_properties_of_some_quantum_spin_ladders">Magnetization properties of some quantum spin ladders</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="289405701" href="https://iiserkol.academia.edu/SiddharthaLal">Siddhartha Lal</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 1999</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Magnetization properties of some quantum spin ladders","attachmentId":109364337,"attachmentType":"pdf","work_url":"https://www.academia.edu/111994557/Magnetization_properties_of_some_quantum_spin_ladders","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/111994557/Magnetization_properties_of_some_quantum_spin_ladders"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="19" data-entity-id="104270086" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/104270086/The_Hubbard_model_spin_degeneracy_and_Ising_spins">The Hubbard model, spin degeneracy and Ising spins</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="41015418" href="https://uni-augsburg.academia.edu/KZiegler">K. Ziegler</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Philosophical Magazine B, 2002</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The Hubbard model, spin degeneracy and Ising spins","attachmentId":104045137,"attachmentType":"pdf","work_url":"https://www.academia.edu/104270086/The_Hubbard_model_spin_degeneracy_and_Ising_spins","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/104270086/The_Hubbard_model_spin_degeneracy_and_Ising_spins"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="20" data-entity-id="7696145" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/7696145/Modified_effective_field_approach_to_low_dimensional_spin_1_2_systems">Modified effective-field approach to low-dimensional spin-1/2 systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14026973" href="https://trismegistos.academia.edu/RafDekeyser">Raf Dekeyser</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review E, 1997</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Modified effective-field approach to low-dimensional spin-1/2 systems","attachmentId":48368626,"attachmentType":"pdf","work_url":"https://www.academia.edu/7696145/Modified_effective_field_approach_to_low_dimensional_spin_1_2_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/7696145/Modified_effective_field_approach_to_low_dimensional_spin_1_2_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="21" data-entity-id="10889678" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/10889678/Ground_state_properties_of_linear_exchange_quantum_spin_models">Ground-state properties of linear-exchange quantum spin models</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="26440186" href="https://independent.academia.edu/BRIJESHKUMAR44">BRIJESH KUMAR</a></div><p class="ds-related-work--metadata ds2-5-body-xs">EPL (Europhysics Letters), 2012</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Ground-state properties of linear-exchange quantum spin models","attachmentId":47048192,"attachmentType":"pdf","work_url":"https://www.academia.edu/10889678/Ground_state_properties_of_linear_exchange_quantum_spin_models","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/10889678/Ground_state_properties_of_linear_exchange_quantum_spin_models"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="22" data-entity-id="114853054" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114853054/Diversity_of_quantum_ground_states_and_quantum_phase_transitions_of_a_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Heisenberg_octahedral_chain">Diversity of quantum ground states and quantum phase transitions of a spin- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math> Heisenberg octahedral chain</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="283577552" href="https://independent.academia.edu/JozefStrecka">Jozef Strecka</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical review, 2017</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Diversity of quantum ground states and quantum phase transitions of a spin- \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003cmml:mfrac\u003e\u003cmml:mn\u003e1\u003c/mml:mn\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mfrac\u003e\u003c/mml:math\u003e Heisenberg octahedral chain","attachmentId":111432340,"attachmentType":"pdf","work_url":"https://www.academia.edu/114853054/Diversity_of_quantum_ground_states_and_quantum_phase_transitions_of_a_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Heisenberg_octahedral_chain","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/114853054/Diversity_of_quantum_ground_states_and_quantum_phase_transitions_of_a_spin_mml_math_xmlns_mml_http_www_w3_org_1998_Math_MathML_mml_mfrac_mml_mn_1_mml_mn_mml_mn_2_mml_mn_mml_mfrac_mml_math_Heisenberg_octahedral_chain"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="23" data-entity-id="55341396" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/55341396/Quantum_Renormalization_of_Spin_Squeezing_in_Spin_Chains">Quantum Renormalization of Spin Squeezing in Spin Chains</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="19562677" href="https://independent.academia.edu/GhaderNajarbashi">Ghader Najarbashi</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Scientific Reports</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum Renormalization of Spin Squeezing in Spin Chains","attachmentId":71256445,"attachmentType":"pdf","work_url":"https://www.academia.edu/55341396/Quantum_Renormalization_of_Spin_Squeezing_in_Spin_Chains","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/55341396/Quantum_Renormalization_of_Spin_Squeezing_in_Spin_Chains"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="24" data-entity-id="92546317" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/92546317/Quantum_renormalization_group_ofXYZmodel_in_a_transverse_magnetic_field">Quantum renormalization group ofXYZmodel in a transverse magnetic field</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="207613" href="https://sharif.academia.edu/AbdollahLangari">Abdollah Langari</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review B, 2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Quantum renormalization group ofXYZmodel in a transverse magnetic field","attachmentId":95526784,"attachmentType":"pdf","work_url":"https://www.academia.edu/92546317/Quantum_renormalization_group_ofXYZmodel_in_a_transverse_magnetic_field","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/92546317/Quantum_renormalization_group_ofXYZmodel_in_a_transverse_magnetic_field"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div><div class="ds-related-content--container"><h2 class="ds-related-content--heading">Related topics</h2><div class="ds-research-interests--pills-container"><a class="js-related-research-interest ds-research-interests--pill" data-entity-id="498" href="https://www.academia.edu/Documents/in/Physics">Physics</a></div></div></div></div></div><div class="footer--content"><ul class="footer--main-links hide-on-mobile"><li><a href="https://www.academia.edu/about">About</a></li><li><a href="https://www.academia.edu/press">Press</a></li><li><a rel="nofollow" href="https://medium.com/academia">Blog</a></li><li><a href="https://www.academia.edu/documents">Papers</a></li><li><a href="https://www.academia.edu/topics">Topics</a></li><li><a href="https://www.academia.edu/hiring"><svg style="width: 13px; height: 13px; position: relative; bottom: -1px;" aria-hidden="true" focusable="false" data-prefix="fas" data-icon="briefcase" class="svg-inline--fa fa-briefcase fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M320 336c0 8.84-7.16 16-16 16h-96c-8.84 0-16-7.16-16-16v-48H0v144c0 25.6 22.4 48 48 48h416c25.6 0 48-22.4 48-48V288H320v48zm144-208h-80V80c0-25.6-22.4-48-48-48H176c-25.6 0-48 22.4-48 48v48H48c-25.6 0-48 22.4-48 48v80h512v-80c0-25.6-22.4-48-48-48zm-144 0H192V96h128v32z"></path></svg> <strong>We're Hiring!</strong></a></li><li><a href="https://support.academia.edu/"><svg style="width: 12px; height: 12px; position: relative; bottom: -1px;" aria-hidden="true" focusable="false" data-prefix="fas" data-icon="question-circle" class="svg-inline--fa fa-question-circle fa-w-16" role="img" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path fill="currentColor" d="M504 256c0 136.997-111.043 248-248 248S8 392.997 8 256C8 119.083 119.043 8 256 8s248 111.083 248 248zM262.655 90c-54.497 0-89.255 22.957-116.549 63.758-3.536 5.286-2.353 12.415 2.715 16.258l34.699 26.31c5.205 3.947 12.621 3.008 16.665-2.122 17.864-22.658 30.113-35.797 57.303-35.797 20.429 0 45.698 13.148 45.698 32.958 0 14.976-12.363 22.667-32.534 33.976C247.128 238.528 216 254.941 216 296v4c0 6.627 5.373 12 12 12h56c6.627 0 12-5.373 12-12v-1.333c0-28.462 83.186-29.647 83.186-106.667 0-58.002-60.165-102-116.531-102zM256 338c-25.365 0-46 20.635-46 46 0 25.364 20.635 46 46 46s46-20.636 46-46c0-25.365-20.635-46-46-46z"></path></svg> <strong>Help Center</strong></a></li></ul><ul class="footer--research-interests"><li>Find new research papers in:</li><li><a href="https://www.academia.edu/Documents/in/Physics">Physics</a></li><li><a href="https://www.academia.edu/Documents/in/Chemistry">Chemistry</a></li><li><a href="https://www.academia.edu/Documents/in/Biology">Biology</a></li><li><a href="https://www.academia.edu/Documents/in/Health_Sciences">Health Sciences</a></li><li><a href="https://www.academia.edu/Documents/in/Ecology">Ecology</a></li><li><a href="https://www.academia.edu/Documents/in/Earth_Sciences">Earth Sciences</a></li><li><a href="https://www.academia.edu/Documents/in/Cognitive_Science">Cognitive Science</a></li><li><a href="https://www.academia.edu/Documents/in/Mathematics">Mathematics</a></li><li><a href="https://www.academia.edu/Documents/in/Computer_Science">Computer Science</a></li></ul><ul class="footer--legal-links hide-on-mobile"><li><a href="https://www.academia.edu/terms">Terms</a></li><li><a href="https://www.academia.edu/privacy">Privacy</a></li><li><a href="https://www.academia.edu/copyright">Copyright</a></li><li>Academia ©2024</li></ul></div> </body> </html>