Local Commuting Projector Hamiltonians and the Quantum Hall Effect

被引：28

作者：

Kapustin, Anton ^{[1
]}

Fidkowski, Lukasz ^{[2
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Washington, Dept Phys, Seattle, WA 98195 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 373卷 / 02期

基金：

美国国家科学基金会;

关键词：

CONDUCTANCE; QUANTIZATION;

D O I：

10.1007/s00220-019-03444-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that neither Integer nor Fractional Quantum Hall Effects with nonzero Hall conductivity are possible in gapped systems described by Local Commuting Projector Hamiltonians.

引用

页码：763 / 769

页数：7

共 13 条

[1] QUANTIZATION OF THE HALL CONDUCTANCE FOR GENERAL, MULTIPARTICLE SCHRODINGER HAMILTONIANS [J].

AVRON, JE ;

SEILER, R .

PHYSICAL REVIEW LETTERS, 1985, 54 (04) :259-262

[2] The Adiabatic Theorem and Linear Response Theory for Extended Quantum Systems [J].

Bachmann, Sven ;

De Roeck, Wojciech ;

Fraas, Martin .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 361 (03) :997-1027

[3] Quantization of Conductance in Gapped Interacting Systems [J].

Bachmann, Sven ;

Bols, Alex ;

De Roeck, Wojciech ;

Fraas, Martin .

ANNALES HENRI POINCARE, 2018, 19 (03) :695-708

[4]

Bezrukavnikov R., ARXIV180807602CONDMA

[5]

FELDMAN D, COMMUNICATION

[6]

Gubeladze I.D., 1987, Soobshch. Akad. Nauk Gruzin. SSR, V125, P289, DOI [10.1070/SM1989v063n01ABEH003266, DOI 10.1070/SM1989V063N01ABEH003266]

[7] Quantization of Hall Conductance for Interacting Electrons on a Torus [J].

Hastings, Matthew B. ;

Michalakis, Spyridon .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 334 (01) :433-471

[8] Fault-tolerant quantum computation by anyons [J].

Kitaev, AY .

ANNALS OF PHYSICS, 2003, 303 (01) :2-30

[9]

Lam T.Y., 2006, Serre's problem on projective modules

[10]

Monaco D., ARXIV170701852MATHPH

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