{"title":"Hierarchy of the third-order anomalous Hall effect: from clean to disorder regime","authors":"Chanchal K. Barman, Arghya Chattopadhyay, Surajit Sarkar, Jian-Xin Zhu, Snehasish Nandy","doi":"arxiv-2409.07993","DOIUrl":null,"url":null,"abstract":"The third-order anomalous Hall effect (TOAHE) driven by Berry connection\npolarizability in Dirac materials offers a promising avenue for exploring\nquantum geometric phenomena. We investigate the role of impurity scattering on\nTOAHE using the semiclassical Boltzmann framework, via a comparison of the\nintrinsic contributions (stemming from the Berry connection polarizability\neffect) with the extrinsic contributions caused by the disorder. To validate\nour theoretical findings, we employ a generalized two-dimensional low-energy\nDirac model to analytically assess the intrinsic and extrinsic contributions to\nthe TOAHE. Our analysis reveals distinct disorder-mediated effects, including\nskew scattering and side jump contributions. We also elucidate their intriguing\ndependencies on Fermi surface anisotropy and discuss opportunities for\nexperimental exploration.","PeriodicalId":501137,"journal":{"name":"arXiv - PHYS - Mesoscale and Nanoscale Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Mesoscale and Nanoscale Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07993","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
The third-order anomalous Hall effect (TOAHE) driven by Berry connection
polarizability in Dirac materials offers a promising avenue for exploring
quantum geometric phenomena. We investigate the role of impurity scattering on
TOAHE using the semiclassical Boltzmann framework, via a comparison of the
intrinsic contributions (stemming from the Berry connection polarizability
effect) with the extrinsic contributions caused by the disorder. To validate
our theoretical findings, we employ a generalized two-dimensional low-energy
Dirac model to analytically assess the intrinsic and extrinsic contributions to
the TOAHE. Our analysis reveals distinct disorder-mediated effects, including
skew scattering and side jump contributions. We also elucidate their intriguing
dependencies on Fermi surface anisotropy and discuss opportunities for
experimental exploration.