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arXiv 2307.15919cond-mat.mes-hallhep-thmath-phmath.MP
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高维量子霍尔效应的输运系数

Transport coefficients for higher dimensional quantum Hall effect

Dimitra Karabali, V. P. Nair

AI总结:

本文研究高维量子霍尔效应的有效作用量性质,将电子能带结构纳入其中,导出任意维度的霍尔电流、电导率及霍尔粘度表达式,并给出 2+1 和 4+1 维的显式公式。

摘要:

前一段时间,基于与 Dolbeault 指数定理相关的 Chern-Simons 项,得到了任意偶数空间维下量子霍尔效应体动力学的有效作用量。本文进一步探索该作用量的性质,展示如何引入电子能带结构,并用能带的 Chern 类积分表示任意维度的霍尔电流与电导率。我们还从有效作用量导出了霍尔粘度的表达式,并给出了 2+1 和 4+1 维下霍尔粘度的显式公式。

英文摘要:

An effective action for the bulk dynamics of 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 formulae for the Hall viscosity are given for 2+1 and 4+1dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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