Hall conductivity as a topological invariant
Mesoscale and Nanoscale Physics
2009-11-10 v1
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.
Cite
@article{arxiv.cond-mat/0409591,
title = {Hall conductivity as a topological invariant},
author = {A. Kunold and M. Torres},
journal= {arXiv preprint arXiv:cond-mat/0409591},
year = {2009}
}
Comments
6 pages