Vanishing Hall conductance for commuting Hamiltonians

被引：0

作者：

Zhang, Carolyn ^{[1
]}

Levin, Michael ^{[1
]}

Bachmann, Sven ^{[2
]}

机构：

[1] Univ Chicago, Kadanoff Ctr Theoret Phys, Dept Phys, Chicago, IL 60637 USA

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

PHYSICAL REVIEW B | 2022年 / 105卷 / 08期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

QUANTIZATION;

D O I：

10.1103/PhysRevB.105.L081103

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the process of flux insertion for ground states of almost local commuting projector Hamiltonians in two spatial dimensions. In the case of finite-dimensional local Hilbert spaces, we prove that this process cannot pump any charge, and we conclude that the Hall conductance must vanish.

引用

页数：5

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