Precise Wigner-Weyl calculus for lattice models
Mathematical Physics
2020-04-22 v1 Mesoscale and Nanoscale Physics
math.MP
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.
Cite
@article{arxiv.1912.02786,
title = {Precise Wigner-Weyl calculus for lattice models},
author = {I. V. Fialkovsky and M. A. Zubkov},
journal= {arXiv preprint arXiv:1912.02786},
year = {2020}
}
Comments
Latex, 37 pages