Multilayer Haldane model

Xi Wu; C. X. Zhang; M. A. Zubkov

doi:10.1016/j.ssc.2022.114863

Multilayer Haldane model

Xi Wu
, C. X. Zhang
, M. A. Zubkov

Department of Physics

Ariel University

Research output: Contribution to journal › Article › peer-review

Abstract

We propose the model of layered materials, in which each layer is described by the conventional Haldane model, while the inter-layer hopping parameter corresponds to the ABC stacking. We calculate the topological invariant N₃ for the resulting model, which is responsible for the conductivity of intrinsic quantum Hall effect. It has been shown that for a finite value of interlayer hopping parameter, the value of N₃ is equal to the number of layers multiplied by the topological invariant of each layer. At the same time this value may be calculated using the low energy effective theory.

Original language	English
Article number	114863
Journal	Solid State Communications
Volume	353
DOIs	https://doi.org/10.1016/j.ssc.2022.114863
State	Published - 15 Sep 2022

Keywords

Haldane model
Multilayer systems
QHE
Topological invariants

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/j.ssc.2022.114863

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title = "Multilayer Haldane model",

abstract = "We propose the model of layered materials, in which each layer is described by the conventional Haldane model, while the inter-layer hopping parameter corresponds to the ABC stacking. We calculate the topological invariant N3 for the resulting model, which is responsible for the conductivity of intrinsic quantum Hall effect. It has been shown that for a finite value of interlayer hopping parameter, the value of N3 is equal to the number of layers multiplied by the topological invariant of each layer. At the same time this value may be calculated using the low energy effective theory.",

keywords = "Haldane model, Multilayer systems, QHE, Topological invariants",

author = "Xi Wu and Zhang, \{C. X.\} and Zubkov, \{M. A.\}",

note = "Publisher Copyright: {\textcopyright} 2022",

year = "2022",

month = sep,

day = "15",

doi = "10.1016/j.ssc.2022.114863",

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TY - JOUR

T1 - Multilayer Haldane model

AU - Wu, Xi

AU - Zhang, C. X.

AU - Zubkov, M. A.

PY - 2022/9/15

Y1 - 2022/9/15

N2 - We propose the model of layered materials, in which each layer is described by the conventional Haldane model, while the inter-layer hopping parameter corresponds to the ABC stacking. We calculate the topological invariant N3 for the resulting model, which is responsible for the conductivity of intrinsic quantum Hall effect. It has been shown that for a finite value of interlayer hopping parameter, the value of N3 is equal to the number of layers multiplied by the topological invariant of each layer. At the same time this value may be calculated using the low energy effective theory.

AB - We propose the model of layered materials, in which each layer is described by the conventional Haldane model, while the inter-layer hopping parameter corresponds to the ABC stacking. We calculate the topological invariant N3 for the resulting model, which is responsible for the conductivity of intrinsic quantum Hall effect. It has been shown that for a finite value of interlayer hopping parameter, the value of N3 is equal to the number of layers multiplied by the topological invariant of each layer. At the same time this value may be calculated using the low energy effective theory.

KW - Haldane model

KW - Multilayer systems

KW - QHE

KW - Topological invariants

UR - https://www.scopus.com/pages/publications/85145815464

U2 - 10.1016/j.ssc.2022.114863

DO - 10.1016/j.ssc.2022.114863

M3 - مقالة

SN - 0038-1098

VL - 353

JO - Solid State Communications

JF - Solid State Communications

M1 - 114863

ER -

Multilayer Haldane model

Abstract

Keywords

ASJC Scopus subject areas

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