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Hauptverfasser:	Huang, Ke, Li, Xiao, Sarma, Sankar Das, Zhang, Fan
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Strongly Correlated Electrons Mesoscale and Nanoscale Physics
Online-Zugang:	https://arxiv.org/abs/2407.08661
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

_version_	1866913551298330624
author	Huang, Ke Li, Xiao Sarma, Sankar Das Zhang, Fan
author_facet	Huang, Ke Li, Xiao Sarma, Sankar Das Zhang, Fan
contents	The fractional quantum anomalous Hall (FQAH) effect in rhombohedral pentalayer graphene (PLG) has attracted significant attention due to its potential for observing exotic quantum states. In this work, we present a self-consistent Hartree-Fock theory for the FQAH effect in rhombohedral PLG. In particular, we focus on the convergence of the Hartree-Fock calculation with various reference fields and discuss the stability of the FQAH states in PLG. We show that the so-called charge neutrality scheme provides an unambiguous result for the Hartree-Fock calculation, as it ensures a convergence with respect to the momentum cutoff. Based on the Hartree-Fock band structure, we further carry out exact diagonalization calculations to explore the stability of the FQAH states in PLG. Our work provides an improved and unified (minimal) theoretical framework to understand the FQAH effect in rhombohedral PLG and paves the way for future experimental and theoretical studies.
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publishDate	2024
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spellingShingle	Self-consistent theory for the fractional quantum anomalous Hall effect in rhombohedral pentalayer graphene Huang, Ke Li, Xiao Sarma, Sankar Das Zhang, Fan Strongly Correlated Electrons Mesoscale and Nanoscale Physics The fractional quantum anomalous Hall (FQAH) effect in rhombohedral pentalayer graphene (PLG) has attracted significant attention due to its potential for observing exotic quantum states. In this work, we present a self-consistent Hartree-Fock theory for the FQAH effect in rhombohedral PLG. In particular, we focus on the convergence of the Hartree-Fock calculation with various reference fields and discuss the stability of the FQAH states in PLG. We show that the so-called charge neutrality scheme provides an unambiguous result for the Hartree-Fock calculation, as it ensures a convergence with respect to the momentum cutoff. Based on the Hartree-Fock band structure, we further carry out exact diagonalization calculations to explore the stability of the FQAH states in PLG. Our work provides an improved and unified (minimal) theoretical framework to understand the FQAH effect in rhombohedral PLG and paves the way for future experimental and theoretical studies.
title	Self-consistent theory for the fractional quantum anomalous Hall effect in rhombohedral pentalayer graphene
topic	Strongly Correlated Electrons Mesoscale and Nanoscale Physics
url	https://arxiv.org/abs/2407.08661

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