{"title":"Incipient quantum spin Hall insulator under strong correlations","authors":"Peizhi Mai, Jinchao Zhao, Philip W. Phillips","doi":"arxiv-2409.07557","DOIUrl":null,"url":null,"abstract":"To assess prior mean-field studies that the interacting Kane-Mele model\nsupports a novel antiferromagnetic Chern insulating phase (AFCI) for a wide\nrange of sublattice potentials, we analyze the Kane-Mele-Hubbard model in the\npresence of a sublattice potential using determinant quantum Monte Carlo\n(DQMC). Instead of an AFCI, we find that the ground state is a quantum spin\nHall (QSH) insulator for intermediate values of the sublattice potential\n$\\lambda_v$, albeit with a small gap. The QSH state gives way to a trivial band\ninsulator as the sublattice potential increases beyond a critical value. Only\nat small sublattice potentials does the QSH state transition into a trivial\nMott insulator with xy antiferromagnetic correlations. The QAH feature is only\nobserved at high temperature. The QAH feature crosses over to an incipient QSH\nstate when the topological gap stabilizes. Our work is consistent with the\nexperimental observation that in twisted bilayer MoTe$_2$ and WSe$_2$ as well\nas AB stacked MoTe$_2$/WSe$_2$, where QSH is consistently observed at\neven-integer filling over a wide range of parameters.","PeriodicalId":501171,"journal":{"name":"arXiv - PHYS - Strongly Correlated Electrons","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Strongly Correlated Electrons","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07557","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
To assess prior mean-field studies that the interacting Kane-Mele model
supports a novel antiferromagnetic Chern insulating phase (AFCI) for a wide
range of sublattice potentials, we analyze the Kane-Mele-Hubbard model in the
presence of a sublattice potential using determinant quantum Monte Carlo
(DQMC). Instead of an AFCI, we find that the ground state is a quantum spin
Hall (QSH) insulator for intermediate values of the sublattice potential
$\lambda_v$, albeit with a small gap. The QSH state gives way to a trivial band
insulator as the sublattice potential increases beyond a critical value. Only
at small sublattice potentials does the QSH state transition into a trivial
Mott insulator with xy antiferromagnetic correlations. The QAH feature is only
observed at high temperature. The QAH feature crosses over to an incipient QSH
state when the topological gap stabilizes. Our work is consistent with the
experimental observation that in twisted bilayer MoTe$_2$ and WSe$_2$ as well
as AB stacked MoTe$_2$/WSe$_2$, where QSH is consistently observed at
even-integer filling over a wide range of parameters.