Precise Wigner-Weyl calculus for lattice models

I. V. Fialkovsky, M. A. Zubkov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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 languageEnglish
Article number114999
JournalNuclear Physics B
StatePublished - May 2020


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