FIELD-THEORY IN A STRONG MAGNETIC-FIELD AND THE QUANTUM HALL-EFFECT - INTEGER HALL-EFFECT

被引：60

作者：

IMAI, N ^{[1
]}

ISHIKAWA, K ^{[1
]}

MATSUYAMA, T ^{[1
]}

TANAKA, I ^{[1
]}

机构：

[1] KYOTO UNIV,FUNDAMENTAL PHYS RES INST,KYOTO 606,JAPAN

来源：

PHYSICAL REVIEW B | 1990年 / 42卷 / 16期

关键词：

D O I：

10.1103/PhysRevB.42.10610

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A field theory of two-dimensional continuum electrons in a strong magnetic field is formulated based on a magnetic lattice representation that preserves translational invariance. The gauge invariance, which is described by the Ward-Takahashi identity, leads to the topologically invariant expression of the Hall conductance and to the exact low-energy theorem. Electrons are localized around a short-range impurity potential and a plateau of the Hall conductance with an integer multiple of e2/h is realized in the localized state regions. In the presence of extended states at the Fermi energy, xy differs from the quantized value by an amount proportional to the transverse conductance xx. © 1990 The American Physical Society.

引用

页码：10610 / 10640

页数：31

共 71 条

[1]

ABE O, 1986, RATIONALE BEING FEST, P137

[2] RELATION BETWEEN THE CHIRAL ANOMALY AND THE QUANTIZED HALL-EFFECT [J].