Hall conductivity of strained Z2 crystals

Abstract

We establish topological nature of Hall conductivity of graphene and other Z2 crystals in 2D and 3D in the presence of inhomogeneous perturbations. To this end the lattice Weyl-Wigner formalism is employed. The non-uniform mechanical stress is considered, along with spatially varying magnetic field. The relation of the obtained topological invariant to level counting is clarified.

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