Integer quantum Hall effect in graphene

被引：5

作者：

Jellal, Ahmed ^{[1
,2
]}

机构：

[1] Saudi Ctr Theoret Phys, Dhahran, Saudi Arabia

[2] Chouaib Doukkali Univ, Theoret Phys Grp, Fac Sci, El Jadida 24000, Morocco

来源：

PHYSICS LETTERS A | 2016年 / 380卷 / 17期

关键词：

Dirac equation; Graphene; Electric and magnetic fields; Quantum Hall effect;

D O I：

10.1016/j.physleta.2016.02.038

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the quantum Hall effect in a monolayer graphene by using an approach based on thermodynamical properties. This can be done by considering a system of Dirac particles in an electromagnetic field and taking into account of the edges effect as a pseudo-potential varying continuously along the x direction. At low temperature and in the weak electric field limit, we explicitly determine the thermodynamical potential. With this, we derive the particle numbers in terms of the quantized flux and therefore the Hall conductivity immediately follows. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：1514 / 1516

页数：3

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