Precise Wigner-Weyl calculus for lattice models

I. V. Fialkovsky; M. A. Zubkov

doi:10.1016/j.nuclphysb.2020.114999

Precise Wigner-Weyl calculus for lattice models

I. V. Fialkovsky, M. A. Zubkov

Department of Physics

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

9 Scopus citations

Abstract

We propose a new version of Wigner-Weyl calculus for tight-binding lattice models. It allows to express various physical quantities through Weyl symbols of operators and Green's functions. In particular, Hall conductivity in the presence of varying and arbitrarily strong magnetic field is represented using the proposed formalism as a topological invariant.

Original language	English
Article number	114999
Journal	Nuclear Physics B
Volume	954
DOIs	https://doi.org/10.1016/j.nuclphysb.2020.114999
State	Published - May 2020

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abstract = "We propose a new version of Wigner-Weyl calculus for tight-binding lattice models. It allows to express various physical quantities through Weyl symbols of operators and Green's functions. In particular, Hall conductivity in the presence of varying and arbitrarily strong magnetic field is represented using the proposed formalism as a topological invariant.",

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AB - We propose a new version of Wigner-Weyl calculus for tight-binding lattice models. It allows to express various physical quantities through Weyl symbols of operators and Green's functions. In particular, Hall conductivity in the presence of varying and arbitrarily strong magnetic field is represented using the proposed formalism as a topological invariant.

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Precise Wigner-Weyl calculus for lattice models

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