{"title":"零能量下的手性随机带矩阵","authors":"Jacob Shapiro","doi":"10.1007/s11005-024-01796-x","DOIUrl":null,"url":null,"abstract":"<div><p>We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin <span>\\(\\sqrt{N}\\)</span>-conjecture (Phys Rev Lett 67(18):2405, 1991) can be established very simply.\n</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chiral random band matrices at zero energy\",\"authors\":\"Jacob Shapiro\",\"doi\":\"10.1007/s11005-024-01796-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin <span>\\\\(\\\\sqrt{N}\\\\)</span>-conjecture (Phys Rev Lett 67(18):2405, 1991) can be established very simply.\\n</p></div>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":\"114 2\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11005-024-01796-x\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-024-01796-x","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
摘要
我们提出了一个随机带矩阵的特殊模型,在这个模型中,在零能量时,著名的费奥多罗夫和米林猜想(Phys Rev Lett 67(18):2405, 1991)可以非常简单地成立。
We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin \(\sqrt{N}\)-conjecture (Phys Rev Lett 67(18):2405, 1991) can be established very simply.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.