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

被引：8

作者：

Hatsugai, Yasuhiro ^{[1
,2
]}

Fukui, Takahiro ^{[3
]}

Aoki, Hideo ^{[4
]}

机构：

[1] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan

[2] Univ Tokyo, Dept Appl Phys, Tokyo 1138656, Japan

[3] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan

[4] Univ Tokyo, Dept Phys, Tokyo 1130033, Japan

来源：

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2008年 / 40卷 / 05期

关键词：

graphene; N=0 Landau level; dimerization;

D O I：

10.1016/j.physe.2007.09.164

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

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. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1530 / 1532

页数：3

共 5 条

[1] The rise of graphene [J].

Geim, A. K. ;

Novoselov, K. S. .

NATURE MATERIALS, 2007, 6 (03) :183-191

[2]

HATSUGAI Y, IN PRESS, P48302

[3] Topological analysis of the quantum Hall effect in graphene: Dirac-Fermi transition across van Hove singularities and edge versus bulk quantum numbers [J].

Hatsugai, Yasuhiro ;

Fukui, Takahiro ;

Aoki, Hideo .

PHYSICAL REVIEW B, 2006, 74 (20)

[4] String-net condensation: A physical mechanism for topological phases [J].

Levin, MA ;

Wen, XG .

PHYSICAL REVIEW B, 2005, 71 (04)

[5] Two-dimensional gas of massless Dirac fermions in graphene [J].

Novoselov, KS ;

Geim, AK ;

Morozov, SV ;

Jiang, D ;

Katsnelson, MI ;

Grigorieva, IV ;

Dubonos, SV ;

Firsov, AA .

NATURE, 2005, 438 (7065) :197-200

← 1 →