Fractional quantum Hall coexistence phases in higher Landau levels of graphene

Fuente: arXiv
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Autores principales: An, Jincheng, Balram, Ajit C., Khanna, Udit, Murthy, Ganpathy
Formato: Preprint
Publicado: 2024
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author An, Jincheng
Balram, Ajit C.
Khanna, Udit
Murthy, Ganpathy
author_facet An, Jincheng
Balram, Ajit C.
Khanna, Udit
Murthy, Ganpathy
contents Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are filled, they also exhibit spontaneous symmetry breaking the in spin/valley sector, a phenomenon known as quantum Hall ferromagnetism. In this work, we study quantum Hall ferromagnets in the higher Landau level manifolds of monolayer graphene and show that there is an even richer set of symmetry-broken phases than in the lowest Landau level manifold. Specifically, both valley polarized and valley equatorial (where the occupied Landau levels are in an equal superposition of both valleys) ferromagnets, antiferromagnets, and canted antiferromagnets are found. Several types of spin valley entangled phases are found, all of which manifest the simultaneous spontaneous symmetry breaking of both magnetic and lattice symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2408_10035
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fractional quantum Hall coexistence phases in higher Landau levels of graphene
An, Jincheng
Balram, Ajit C.
Khanna, Udit
Murthy, Ganpathy
Mesoscale and Nanoscale Physics
Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are filled, they also exhibit spontaneous symmetry breaking the in spin/valley sector, a phenomenon known as quantum Hall ferromagnetism. In this work, we study quantum Hall ferromagnets in the higher Landau level manifolds of monolayer graphene and show that there is an even richer set of symmetry-broken phases than in the lowest Landau level manifold. Specifically, both valley polarized and valley equatorial (where the occupied Landau levels are in an equal superposition of both valleys) ferromagnets, antiferromagnets, and canted antiferromagnets are found. Several types of spin valley entangled phases are found, all of which manifest the simultaneous spontaneous symmetry breaking of both magnetic and lattice symmetries.
title Fractional quantum Hall coexistence phases in higher Landau levels of graphene
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2408.10035