Elastic deformations and wigner-weyl formalism in graphene

I. V. Fialkovsky; M. A. Zubkov

doi:10.3390/sym12020317

Elastic deformations and wigner-weyl formalism in graphene

I. V. Fialkovsky, M. A. Zubkov

Department of Physics

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

11 Scopus citations

Abstract

We discuss the tight-binding models of solid state physics with the Z₂ sublattice symmetry in the presence of elastic deformations in an important particular case-the tight binding model of graphene. In order to describe the dynamics of electronic quasiparticles, the Wigner-Weyl formalism is explored. It allows the calculation of the two-point Green's function in the presence of two slowly varying external electromagnetic fields and the inhomogeneous modification of the hopping parameters that result from elastic deformations. The developed formalism allows us to consider the influence of elastic deformations and the variations of magnetic field on the quantum Hall effect.

Original language	English
Article number	317
Journal	Symmetry
Volume	12
Issue number	2
DOIs	https://doi.org/10.3390/sym12020317
State	Published - 1 Feb 2020

Keywords

Graphene
Integer quantum hall effect
Wigner-Weyl calculus

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10.3390/sym12020317

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AB - We discuss the tight-binding models of solid state physics with the Z2 sublattice symmetry in the presence of elastic deformations in an important particular case-the tight binding model of graphene. In order to describe the dynamics of electronic quasiparticles, the Wigner-Weyl formalism is explored. It allows the calculation of the two-point Green's function in the presence of two slowly varying external electromagnetic fields and the inhomogeneous modification of the hopping parameters that result from elastic deformations. The developed formalism allows us to consider the influence of elastic deformations and the variations of magnetic field on the quantum Hall effect.

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KW - Wigner-Weyl calculus

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Elastic deformations and wigner-weyl formalism in graphene

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