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arXiv · 1910.01585

Hall conductivity of strained $Z_2$ crystals

I. V. Fialkovsky·M. A. Zubkov
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Abstract

We establish topological nature of Hall conductivity of graphene and other $Z_2$ 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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I. V. Fialkovsky, M. A. Zubkov. 2019-10-03. Hall conductivity of strained $Z_2$ crystals. https://doi.org/10.1142/s0217751x20440340

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