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type="radio" value="hide"> <label for="abstracts-1">Hide abstracts</label></li></ul> </div> <div class="box field is-grouped is-grouped-multiline level-item"> <div class="control"> <span class="select is-small"> <select id="size" name="size"><option value="25">25</option><option selected value="50">50</option><option value="100">100</option><option value="200">200</option></select> </span> <label for="size">results per page</label>. </div> <div class="control"> <label for="order">Sort results by</label> <span class="select is-small"> <select id="order" name="order"><option selected value="-announced_date_first">Announcement date (newest first)</option><option value="announced_date_first">Announcement date (oldest first)</option><option value="-submitted_date">Submission date (newest first)</option><option value="submitted_date">Submission date (oldest first)</option><option value="">Relevance</option></select> </span> </div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2404.13405">arXiv:2404.13405</a> <span> [<a href="https://arxiv.org/pdf/2404.13405">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> </div> </div> <p class="title is-5 mathjax"> Field-free switching of perpendicular magnetization by cooperation of planar Hall and orbital Hall effects </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Bekele%2C+Z+A">Zelalem Abebe Bekele</a>, <a href="/search/cond-mat?searchtype=author&query=Jiang%2C+Y">Yuan-Yuan Jiang</a>, <a href="/search/cond-mat?searchtype=author&query=Lei%2C+K">Kun Lei</a>, <a href="/search/cond-mat?searchtype=author&query=Lan%2C+X">Xiukai Lan</a>, <a href="/search/cond-mat?searchtype=author&query=Liu%2C+X">Xiangyu Liu</a>, <a href="/search/cond-mat?searchtype=author&query=Wen%2C+H">Hui Wen</a>, <a href="/search/cond-mat?searchtype=author&query=Shao%2C+D">Ding-Fu Shao</a>, <a href="/search/cond-mat?searchtype=author&query=Wang%2C+K">Kaiyou Wang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2404.13405v1-abstract-short" style="display: inline;"> Spin-orbit torques (SOTs) generated through the conventional spin Hall effect and/or Rashba-Edelstein effect are promising for manipulating magnetization. However, this approach typically exhibits non-deterministic and inefficient behaviour when it comes to switching perpendicular ferromagnets. This limitation posed a challenge for write-in operations in high-density magnetic memory devices. Here,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2404.13405v1-abstract-full').style.display = 'inline'; document.getElementById('2404.13405v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2404.13405v1-abstract-full" style="display: none;"> Spin-orbit torques (SOTs) generated through the conventional spin Hall effect and/or Rashba-Edelstein effect are promising for manipulating magnetization. However, this approach typically exhibits non-deterministic and inefficient behaviour when it comes to switching perpendicular ferromagnets. This limitation posed a challenge for write-in operations in high-density magnetic memory devices. Here, we determine an effective solution to overcome this challenge by simultaneously leveraging both a planar Hall effect (PHE) and an orbital Hall effect (OHE). Using a representative Co/PtGd/Mo trilayer SOT device, we demonstrate that the PHE of Co is enhanced by the interfacial coupling of Co/PtGd, giving rise to a finite out-of-plane damping-like torque within the Co layer. Simultaneously, the OHE in Mo layer induces a strong out-of-plane orbital current, significantly amplifying the in-plane damping-like torque through orbital-to-spin conversion. While either the PHE or OHE alone proves insufficient for reversing the perpendicular magnetization of Co, their collaborative action enables high-efficiency field-free deterministic switching. Our work provides a straightforward strategy to realize high-speed and low-power spintronics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2404.13405v1-abstract-full').style.display = 'none'; document.getElementById('2404.13405v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 April, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">13 pages, 3 figures, submitted to Nat. Commun</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2308.13241">arXiv:2308.13241</a> <span> [<a href="https://arxiv.org/pdf/2308.13241">pdf</a>, <a href="https://arxiv.org/format/2308.13241">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Robotics">cs.RO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Optics">physics.optics</span> </div> </div> <p class="title is-5 mathjax"> WSTac: Interactive Surface Perception based on Whisker-Inspired and Self-Illuminated Vision-Based Tactile Sensor </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Lei%2C+K+C">Kai Chong Lei</a>, <a href="/search/cond-mat?searchtype=author&query=Sou%2C+K+W">Kit Wa Sou</a>, <a href="/search/cond-mat?searchtype=author&query=Chan%2C+W+S">Wang Sing Chan</a>, <a href="/search/cond-mat?searchtype=author&query=Yan%2C+J">Jiayi Yan</a>, <a href="/search/cond-mat?searchtype=author&query=Ping%2C+S">Siqi Ping</a>, <a href="/search/cond-mat?searchtype=author&query=Peng%2C+D">Dengfeng Peng</a>, <a href="/search/cond-mat?searchtype=author&query=Ding%2C+W">Wenbo Ding</a>, <a href="/search/cond-mat?searchtype=author&query=Zhang%2C+X">Xiao-Ping Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2308.13241v1-abstract-short" style="display: inline;"> Modern Visual-Based Tactile Sensors (VBTSs) use cost-effective cameras to track elastomer deformation, but struggle with ambient light interference. Solutions typically involve using internal LEDs and blocking external light, thus adding complexity. Creating a VBTS resistant to ambient light with just a camera and an elastomer remains a challenge. In this work, we introduce WStac, a self-illuminat… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2308.13241v1-abstract-full').style.display = 'inline'; document.getElementById('2308.13241v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2308.13241v1-abstract-full" style="display: none;"> Modern Visual-Based Tactile Sensors (VBTSs) use cost-effective cameras to track elastomer deformation, but struggle with ambient light interference. Solutions typically involve using internal LEDs and blocking external light, thus adding complexity. Creating a VBTS resistant to ambient light with just a camera and an elastomer remains a challenge. In this work, we introduce WStac, a self-illuminating VBTS comprising a mechanoluminescence (ML) whisker elastomer, camera, and 3D printed parts. The ML whisker elastomer, inspired by the touch sensitivity of vibrissae, offers both light isolation and high ML intensity under stress, thereby removing the necessity for additional LED modules. With the incorporation of machine learning, the sensor effectively utilizes the dynamic contact variations of 25 whiskers to successfully perform tasks like speed regression, directional identification, and texture classification. Videos are available at: https://sites.google.com/view/wstac/. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2308.13241v1-abstract-full').style.display = 'none'; document.getElementById('2308.13241v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 August, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2203.00923">arXiv:2203.00923</a> <span> [<a href="https://arxiv.org/pdf/2203.00923">pdf</a>, <a href="https://arxiv.org/format/2203.00923">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.105.195416">10.1103/PhysRevB.105.195416 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Manipulating electron waves in graphene using carbon nanotube gating </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Chiu%2C+S">Shiang-Bin Chiu</a>, <a href="/search/cond-mat?searchtype=author&query=Mre%C5%84ca-Kolasi%C5%84ska%2C+A">Alina Mre艅ca-Kolasi艅ska</a>, <a href="/search/cond-mat?searchtype=author&query=Lei%2C+K+L">Ka Long Lei</a>, <a href="/search/cond-mat?searchtype=author&query=Chiu%2C+C">Ching-Hung Chiu</a>, <a href="/search/cond-mat?searchtype=author&query=Kang%2C+W">Wun-Hao Kang</a>, <a href="/search/cond-mat?searchtype=author&query=Chen%2C+S">Szu-Chao Chen</a>, <a href="/search/cond-mat?searchtype=author&query=Liu%2C+M">Ming-Hao Liu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2203.00923v2-abstract-short" style="display: inline;"> Graphene with its dispersion relation resembling that of photons offers ample opportunities for applications in electron optics. The spacial variation of carrier density by external gates can be used to create electron waveguides, in analogy to optical fiber, with additional confinement of the carriers in bipolar junctions leading to the formation of few transverse guiding modes. We show that wave… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.00923v2-abstract-full').style.display = 'inline'; document.getElementById('2203.00923v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2203.00923v2-abstract-full" style="display: none;"> Graphene with its dispersion relation resembling that of photons offers ample opportunities for applications in electron optics. The spacial variation of carrier density by external gates can be used to create electron waveguides, in analogy to optical fiber, with additional confinement of the carriers in bipolar junctions leading to the formation of few transverse guiding modes. We show that waveguides created by gating graphene with carbon nanotubes (CNTs) allow obtaining sharp conductance plateaus, and propose applications in the Aharonov-Bohm and two-path interferometers, and a pointlike source for injection of carriers in graphene. Other applications can be extended to Bernal-stacked or twisted bilayer graphene or two-dimensional electron gas. Thanks to their versatility, CNT-induced waveguides open various possibilities for electron manipulation in graphene-based devices. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.00923v2-abstract-full').style.display = 'none'; document.getElementById('2203.00923v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 May, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 March, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">12 pages, 12 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 105, 195416 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.06291">arXiv:2201.06291</a> <span> [<a href="https://arxiv.org/pdf/2201.06291">pdf</a>, <a href="https://arxiv.org/ps/2201.06291">ps</a>, <a href="https://arxiv.org/format/2201.06291">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Physics and Society">physics.soc-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Optimization and Control">math.OC</span> </div> </div> <p class="title is-5 mathjax"> Optimal Layout Plan of Stands at the Macao Food Festival via Minimizing the Electrostatic Potential Energy with the Effective Charge as Popularity of Stands </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Im%2C+K+I">Ka Ian Im</a>, <a href="/search/cond-mat?searchtype=author&query=Choi%2C+I+K">In Kio Choi</a>, <a href="/search/cond-mat?searchtype=author&query=Lei%2C+P+K">Pak Kio Lei</a>, <a href="/search/cond-mat?searchtype=author&query=Chan%2C+H+F">Hou Fai Chan</a>, <a href="/search/cond-mat?searchtype=author&query=Ian%2C+U+I">U In Ian</a>, <a href="/search/cond-mat?searchtype=author&query=Lee%2C+W+S">Wei Shan Lee</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.06291v4-abstract-short" style="display: inline;"> We proposed a mathematical model for designing the layout diagram of stand locations at the Macao Food Festival. The optimal layout diagram may be defined in such a way that, while requiring the distance between every pair of stands should not be too far away from each other, the crowd control is well managed so that people may patronize stands more effectively. More popular stands may have larger… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.06291v4-abstract-full').style.display = 'inline'; document.getElementById('2201.06291v4-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.06291v4-abstract-full" style="display: none;"> We proposed a mathematical model for designing the layout diagram of stand locations at the Macao Food Festival. The optimal layout diagram may be defined in such a way that, while requiring the distance between every pair of stands should not be too far away from each other, the crowd control is well managed so that people may patronize stands more effectively. More popular stands may have larger patronage, resulting in higher pedestrian flow nearby. Therefore, to avoid customers from packing shoulder to shoulder around more popular stands, we may treat every stand as a charged particle carrying an effective charge: the more popular a stand is, the higher the effective charge it carries. Under this assumption, the problem is then converted to the minimization problem of Coulomb electrostatic potential energy on a specific configuration of charge locations, with which the global minimum may be found by the Simulated Annealing and Metropolis Algorithm. Electrostatic energy density is interpreted as density of customers, while electric field the reversed crowd flow. Therefore, at a certain location we are able to predict the customer density by calculating the energy density and the net crowd flow with electric field lines. We also concluded that even though the required computation time to obtain a configuration of stand locations with the energy value close to the global minimum with a tolerable difference may be irrelevant to the randomly generated initial configuration of stand locations, setting up an appropriate initial configuration could be one of the key issues to find out the actual global minimum. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.06291v4-abstract-full').style.display = 'none'; document.getElementById('2201.06291v4-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 16 February, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 17 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">37 pages, 8 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.12234">arXiv:2111.12234</a> <span> [<a href="https://arxiv.org/pdf/2111.12234">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Soft Condensed Matter">cond-mat.soft</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1021/acs.jpclett.2c02176">10.1021/acs.jpclett.2c02176 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Atomistic View of Homogeneous Nucleation of Water into Polymorphic Ices </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Li%2C+M">Maodong Li</a>, <a href="/search/cond-mat?searchtype=author&query=Zhang%2C+J">Jun Zhang</a>, <a href="/search/cond-mat?searchtype=author&query=Haiyang%2C+N">Niu Haiyang</a>, <a href="/search/cond-mat?searchtype=author&query=Lei%2C+Y+K">Yao Kun Lei</a>, <a href="/search/cond-mat?searchtype=author&query=Han%2C+X">Xu Han</a>, <a href="/search/cond-mat?searchtype=author&query=Yang%2C+L">Lijiang Yang</a>, <a href="/search/cond-mat?searchtype=author&query=Ye%2C+Z">Zhiqiang Ye</a>, <a href="/search/cond-mat?searchtype=author&query=Yang%2C+Y+I">Yi Isaac Yang</a>, <a href="/search/cond-mat?searchtype=author&query=Gao%2C+Y+Q">Yi Qin Gao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2111.12234v1-abstract-short" style="display: inline;"> Water is one of the most abundant substances on Earth, and ice, i.e., solid water, has more than 18 known phases. Normally ice in nature exists only as Ice Ih, Ice Ic, or a stacking disordered mixture of both. Although many theoretical efforts have been devoted to understanding the thermodynamics of different ice phases at ambient temperature and pressure, there still remains many puzzles. We simu… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.12234v1-abstract-full').style.display = 'inline'; document.getElementById('2111.12234v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.12234v1-abstract-full" style="display: none;"> Water is one of the most abundant substances on Earth, and ice, i.e., solid water, has more than 18 known phases. Normally ice in nature exists only as Ice Ih, Ice Ic, or a stacking disordered mixture of both. Although many theoretical efforts have been devoted to understanding the thermodynamics of different ice phases at ambient temperature and pressure, there still remains many puzzles. We simulated the reversible transitions between water and different ice phases by performing full atom molecular dynamics simulations. Using the enhanced sampling method MetaITS with the two selected X-ray diffraction peak intensities as collective variables, the ternary phase diagrams of liquid water, ice Ih, ice Ic at multiple were obtained. We also present a simple physical model which successfully explains the thermodynamic stability of ice. Our results agree with experiments and leads to a deeper understanding of the ice nucleation mechanism. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.12234v1-abstract-full').style.display = 'none'; document.getElementById('2111.12234v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">MSC Class:</span> 82Dxx <span class="has-text-black-bis has-text-weight-semibold">ACM Class:</span> J.2 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys. Chem. Lett.13, 8601 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0508254">arXiv:cond-mat/0508254</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0508254">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0508254">ps</a>, <a href="https://arxiv.org/format/cond-mat/0508254">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/s10955-005-8078-7">10.1007/s10955-005-8078-7 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Random Cluster Models on the Triangular Lattice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Chayes%2C+L">L. Chayes</a>, <a href="/search/cond-mat?searchtype=author&query=Lei%2C+H+K">H. K. Lei</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0508254v1-abstract-short" style="display: inline;"> We study percolation and the random cluster model on the triangular lattice with 3-body interactions. Starting with percolation, we generalize the star--triangle transformation: We introduce a new parameter (the 3-body term) and identify configurations on the triangles solely by their connectivity. In this new setup, necessary and sufficient conditions are found for positive correlations and thi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0508254v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0508254v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0508254v1-abstract-full" style="display: none;"> We study percolation and the random cluster model on the triangular lattice with 3-body interactions. Starting with percolation, we generalize the star--triangle transformation: We introduce a new parameter (the 3-body term) and identify configurations on the triangles solely by their connectivity. In this new setup, necessary and sufficient conditions are found for positive correlations and this is used to establish regions of percolation and non-percolation. Next we apply this set of ideas to the $q>1$ random cluster model: We derive duality relations for the suitable random cluster measures, prove necessary and sufficient conditions for them to have positive correlations, and finally prove some rigorous theorems concerning phase transitions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0508254v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0508254v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 August, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">24 pages, 1 figure</span> </p> </li> </ol> <div class="is-hidden-tablet">  <span 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