Chiral anomaly and effective field theory for the quantum Hall liquid with edges

被引：17

作者：

Maeda, N

机构：

[1] Department of Physics, Hokkaido University

来源：

PHYSICS LETTERS B | 1996年 / 376卷 / 1-3期

关键词：

D O I：

10.1016/0370-2693(96)00274-2

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Under general assumptions, we present a low-energy effective action for the quantum Hall state when edges exist. It is shown that the chiral edge current is necessary to make the effective action to be gauge invariant. However the chiral edge current is irrelevant to the Hall current. The exactly quantized value of sigma(xy) is observed only when the Hall current does not flow at the edge region. Our effective theory is applicable to the quantum Hall liquid on a surface with non-trivial topology and the physical meanings of the topology are discussed.

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收藏

页码：142 / 147

页数：6

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