Hall conductivity of strained Z2crystals

I. V. Fialkovsky; M. A. Zubkov

doi:10.1142/S0217751X20440340

Hall conductivity of strained Z₂crystals

I. V. Fialkovsky, M. A. Zubkov

Department of Physics

Ariel University

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

Abstract

We establish topological nature of Hall conductivity of graphene and other 2 crystals in 2D and 3D in the presence of inhomogeneous perturbations. To this end the lattice Weyl-Wigner formalism is employed. The nonuniform mechanical stress is considered, along with the spatially varying magnetic field. The relation of the obtained topological invariant to level counting is clarified.

Original language	English
Article number	2044034
Journal	International Journal of Modern Physics A
Volume	36
Issue number	25
DOIs	https://doi.org/10.1142/S0217751X20440340
State	Published - 10 Sep 2021

Keywords

Quantum Hall effect
Wigner-Weyl calculus
graphene

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

Access to Document

10.1142/S0217751X20440340

Cite this

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title = "Hall conductivity of strained Z2crystals",

abstract = "We establish topological nature of Hall conductivity of graphene and other 2 crystals in 2D and 3D in the presence of inhomogeneous perturbations. To this end the lattice Weyl-Wigner formalism is employed. The nonuniform mechanical stress is considered, along with the spatially varying magnetic field. The relation of the obtained topological invariant to level counting is clarified.",

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AB - We establish topological nature of Hall conductivity of graphene and other 2 crystals in 2D and 3D in the presence of inhomogeneous perturbations. To this end the lattice Weyl-Wigner formalism is employed. The nonuniform mechanical stress is considered, along with the spatially varying magnetic field. The relation of the obtained topological invariant to level counting is clarified.

KW - Quantum Hall effect

KW - Wigner-Weyl calculus

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M3 - مقالة

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JO - International Journal of Modern Physics A

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