{"title":"Wavefunction approach to the fractional anomalous Hall crystal","authors":"Tixuan Tan, Julian May-Mann, Trithep Devakul","doi":"arxiv-2409.06775","DOIUrl":null,"url":null,"abstract":"We propose fractional anomalous Hall crystals (FAHCs) as possible ground\nstates of strongly interacting electrons in parent bands with Berry curvature.\nFAHCs are exotic states of matter that spontaneously break continuous\ntranslation symmetry to form a fractional Chern insulator. We construct a\nunified family of variational wavefunctions that describe FAHCs and their\ncompeting states in the presence of uniform parent Berry curvature. We\ncalculate their variational energy with Coulomb interactions semi-analytically\nin the thermodynamic limit. Our analysis reveals that FAHCs can be\nenergetically favorable over both Wigner crystals and integer anomalous Hall\ncrystals for sufficiently strong interactions or flat dispersion.","PeriodicalId":501171,"journal":{"name":"arXiv - PHYS - Strongly Correlated Electrons","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","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-2409.06775","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
We propose fractional anomalous Hall crystals (FAHCs) as possible ground
states of strongly interacting electrons in parent bands with Berry curvature.
FAHCs are exotic states of matter that spontaneously break continuous
translation symmetry to form a fractional Chern insulator. We construct a
unified family of variational wavefunctions that describe FAHCs and their
competing states in the presence of uniform parent Berry curvature. We
calculate their variational energy with Coulomb interactions semi-analytically
in the thermodynamic limit. Our analysis reveals that FAHCs can be
energetically favorable over both Wigner crystals and integer anomalous Hall
crystals for sufficiently strong interactions or flat dispersion.