Edge structure of graphene monolayers in the ν=0 quantum Hall state

被引:19
作者
Knothe, Angelika [1 ,2 ]
Jolicoeur, Thierry [1 ]
机构
[1] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[2] Univ Freiburg, Inst Phys, D-79104 Freiburg, Germany
来源
PHYSICAL REVIEW B | 2015年 / 92卷 / 16期
关键词
ELECTRONIC-PROPERTIES; NANORIBBONS; FIELD;
D O I
10.1103/PhysRevB.92.165110
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Monolayer graphene at neutrality in the quantum Hall regime has many competing ground states with various types of ordering. The outcome of this competition is modified by the presence of the sample boundaries. In this paper we use a Hartree-Fock treatment of the electronic correlations allowing for space-dependent ordering. The armchair edge influence is modeled by a simple perturbative effective magnetic field in valley space. We find that all phases found in the bulk of the sample, ferromagnetic, canted antiferromagnetic, charge-density wave, and Kekule distortion, are smoothly connected to a Kekule-distorted edge. The single-particle excitations are computed taking into account the spatial variation of the order parameters. An eventual metal-insulator transition as a function of the Zeeman energy is not simply related to the type of bulk order.
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页数:14
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