Topological low-energy modes in N=0 Landau levels of graphene: a possibility of a quantum-liquid ground state

We point out that the zero-energy Landau level of Dirac fermions in graphene can be, in the presence of a repulsive electron-electron interaction, split into two (levels) associated with a "bond ordering" formation having a "Kekule pattern", which respects the chiral symmetry. Si...

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Bibliographic Details
Published in:arXiv.org 2008-04
Main Authors: Hatsugai, Yasuhiro, Fukui, Takahiro, Aoki, Hideo
Format: Article
Language:English
Subjects:
Fermions
Graphene
Ground state
Topology
Online Access:Get full text
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Summary:We point out that the zero-energy Landau level of Dirac fermions in graphene can be, in the presence of a repulsive electron-electron interaction, split into two (levels) associated with a "bond ordering" formation having a "Kekule pattern", which respects the chiral symmetry. Since the Kekule pattern has a three-fold degeneracy, domain structures are implied, for which we show that in-gap states localized along the domain boundaries exist as topological states. Based on this a possibility of a quantum-liquid ground state of graphene in magnetic fields is discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.0804.4762