Field theory on the von Neumann lattice and the quantized Hall conductance of Bloch electrons

被引：20

作者：

Ishikawa, K ^{[1
]}

Maeda, N ^{[1
]}

Ochiai, T ^{[1
]}

Suzuki, H ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Phys, Sapporo, Hokkaido 060, Japan

来源：

PHYSICA E | 1999年 / 4卷 / 01期

关键词：

quantum Hall effect; Bloch electron; winding number;

D O I：

10.1016/S1386-9477(98)00243-4

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

We construct useful sets of one-particle states in the quantum Hall system based on the von Neumann lattice. Using the set of momentum states, we develop a field-theoretical formalism and apply the formalism to the system subjected to a periodic potential. The topological formula of the Hall conductance written by the winding number of propagator is generalized to Bloch electrons. The relation between the winding number and the Chern number is clarified. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：37 / 55

页数：19

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