Hall conductivity as a topological invariant

Details Hall conductivity as a topological invariant Hall conductivity as a topological invariant

2004-09-22

arxiv.org/abs/cond-mat/0409591v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages

Scientific paper

10.1002/pssb.200460762

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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