Precise Wigner-Weyl calculus for lattice models
arXiv:1912.02786 · doi:10.1016/j.nuclphysb.2020.114999
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.
Latex, 37 pages
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Cited by in corpus (6)
- Chiral Separation effect in non-homogeneous systems
- Effect of interactions on the topological expression for the chiral separation effect
- Rapid-cycle Thouless pumping in a one-dimensional optical lattice
- Wigner-Weyl calculus in Keldysh technique
- Anomalous fractional quantum Hall effect and multi-valued Hamiltonians
- Discrete Wigner-Weyl calculus for the finite lattice