{"title":"A brief history of free parafermions","authors":"Murray T. Batchelor, Robert A. Henry, Xilin Lu","doi":"10.1007/s43673-023-00105-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this article we outline the historical development and key results obtained to date for free parafermionic spin chains. The concept of free parafermions provides a natural <i>N</i>-state generalization of free fermions, which have long underpinned the exact solution and application of widely studied quantum spin chains and their classical counterparts. In particular, we discuss the Baxter-Fendley free parafermionic <i>Z(N)</i> spin chain, which is a relatively simple non-Hermitian generalization of the Ising model.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"33 1","pages":""},"PeriodicalIF":5.9000,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-023-00105-3.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"AAPPS Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43673-023-00105-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we outline the historical development and key results obtained to date for free parafermionic spin chains. The concept of free parafermions provides a natural N-state generalization of free fermions, which have long underpinned the exact solution and application of widely studied quantum spin chains and their classical counterparts. In particular, we discuss the Baxter-Fendley free parafermionic Z(N) spin chain, which is a relatively simple non-Hermitian generalization of the Ising model.
在这篇文章中，我们概述了自由准费米子自旋链的历史发展和迄今为止取得的主要成果。自由准费米子的概念为自由费米子提供了一个自然的 N 态广义，长期以来，自由费米子一直是广泛研究的量子自旋链及其经典对应物的精确求解和应用的基础。我们特别讨论了巴克斯特-芬德利自由准费米子 Z(N) 自旋链，它是伊辛模型的一个相对简单的非赫米提泛化。
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
