2019/05/27 by I. V. Fialkovsky, M. A. Zubkov, Fialkovsky, I. V. +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #hep-lat
paper · pdf · doi:10.48550/arxiv.1905.11097
Latex, 34 pages
arxiv created 2019/05/27 · arxiv updated 2019/08/13
We discuss the tight-binding models of solid state physics with the Z2 sublattice symmetry in the presence of elastic deformations, and their important particular case -the tight binding model of graphene. In order to describe the dynamics of electronic quasiparticles we explore Wigner-Weyl formalism. It allows to calculate the two-point Green's function in the presence of both slowly varying external electromagnetic fields and the inhomogeneous modification of the hopping parameters resulted from the 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.