Models for the integer quantum hall effect: The network model, the Dirac equation, and a tight-binding Hamiltonian

被引：83

作者：

Ho, CA

Chalker, JT

机构：

[1] Theoretical Physics, University of Oxford, Oxford OX1 3NP, 1, Keble Road

来源：

PHYSICAL REVIEW B | 1996年 / 54卷 / 12期

关键词：

D O I：

10.1103/PhysRevB.54.8708

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider models for the plateau transition in the integer quantum Hall effect. Starting from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions. In the general case, the Dirac Hamiltonian has randomness in the mass, the scalar potential, and the vector potential. Separately, we show that the network model can also be associated with a nearest-neighbor, tight-binding Hamiltonian.

引用

页码：8708 / 8713

页数：6

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