Transport coefficients for higher dimensional quantum Hall effect

被引：1

作者：

Karabali, Dimitra ^{[1
,3
]}

Nair, V. P. ^{[2
,3
]}

机构：

[1] CUNY Lehman Coll, Phys & Astron Dept, Bronx, NY 10468 USA

[2] CUNY City Coll, Phys Dept, New York, NY 10031 USA

[3] CUNY, Grad Ctr, New York, NY 10016 USA

来源：

PHYSICAL REVIEW B | 2023年 / 108卷 / 20期

基金：

美国国家科学基金会;

关键词：

EDGE STATES; BERRY PHASE; CONDUCTANCE; INVARIANCE;

D O I：

10.1103/PhysRevB.108.205155

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An effective action for the bulk dynamics of the quantum Hall effect in arbitrary, even spatial dimensions was obtained some time ago in terms of a Chern-Simons term associated with the Dolbeault index theorem. Here we explore further properties of this action, showing how electronic band structures can be incorporated, obtaining Hall currents and conductivity (for arbitrary dimensions) in terms of integrals of Chern classes for the bands. We also derive the expression for Hall viscosity from the effective action. Explicit formulas for the Hall viscosity are given for 2 + 1 and 4 + 1 dimensions.

引用

页数：15

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