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Hall conductivity as a topological invariant

A. Kunold·M. Torres
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Abstract

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field and perpendicular magnetic field. We refer to this as the two dimensional electric-magnetic Bloch problem (EMB). The Hall conductivity quatizations beyond the linear response approximation is analyzed.

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A. Kunold, M. Torres. 2004-09-22. Hall conductivity as a topological invariant. https://doi.org/10.1002/pssb.200460762

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