{"title":"对雷德-雷扎伊数列结构因子的数值研究","authors":"Loïc Herviou, Frédéric Mila","doi":"10.1103/physrevb.110.045143","DOIUrl":null,"url":null,"abstract":"We numerically investigate the guiding center structure factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in Can <i>et al.</i> [<span>Phys. Rev. Lett.</span> <b>113</b>, 046803 (2014)] for the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>ν</mi><mo>=</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></mrow></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>ν</mi><mo>=</mo><mfrac><mn>4</mn><mn>6</mn></mfrac></mrow></math> Read-Rezayi states. Furthermore, we discuss the strong finite-size effects present in numerically accessible wavefunctions, and provide a simple recipe to minimize them on manifolds where non-Abelian theories have topological degeneracies.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical investigation of the structure factors of the Read-Rezayi series\",\"authors\":\"Loïc Herviou, Frédéric Mila\",\"doi\":\"10.1103/physrevb.110.045143\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We numerically investigate the guiding center structure factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in Can <i>et al.</i> [<span>Phys. Rev. Lett.</span> <b>113</b>, 046803 (2014)] for the <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>ν</mi><mo>=</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></mrow></math> and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>ν</mi><mo>=</mo><mfrac><mn>4</mn><mn>6</mn></mfrac></mrow></math> Read-Rezayi states. Furthermore, we discuss the strong finite-size effects present in numerically accessible wavefunctions, and provide a simple recipe to minimize them on manifolds where non-Abelian theories have topological degeneracies.\",\"PeriodicalId\":20082,\"journal\":{\"name\":\"Physical Review B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevb.110.045143\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevb.110.045143","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
摘要
我们用数值方法研究了Read-Rezayi家族中几个状态的指导中心结构因子。利用环上的精确对角化和无限圆柱体上的密度矩阵重正化群,我们检验了 Can 等人[Phys. Rev. Lett. 113, 046803 (2014)]针对 ν=35 和 ν=46 Read-Rezayi 状态提出的猜想。此外,我们还讨论了数值波函数中存在的强烈的有限大小效应,并提供了一个简单的方法,在非阿贝尔理论具有拓扑退行性的流形上最小化这些效应。
Numerical investigation of the structure factors of the Read-Rezayi series
We numerically investigate the guiding center structure factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in Can et al. [Phys. Rev. Lett.113, 046803 (2014)] for the and Read-Rezayi states. Furthermore, we discuss the strong finite-size effects present in numerically accessible wavefunctions, and provide a simple recipe to minimize them on manifolds where non-Abelian theories have topological degeneracies.
期刊介绍:
Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide.
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