Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
Mathematical Physics
2007-05-23 v2 Functional Analysis
math.MP
Abstract
The adiabatic charge transport is investigated in a two dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spectral gap then in the adiabatic limit the accumulated excess Hall transport is given by the linear response Kubo-Streda formula. The proof relies on the expansion of Nenciu, some generalized phase space estimates, and a bound on the speed of propagation.
Keywords
Cite
@article{arxiv.math-ph/0304009,
title = {Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians},
author = {Alexander Elgart and Benjamin Schlein},
journal= {arXiv preprint arXiv:math-ph/0304009},
year = {2007}
}
Comments
21 pages, no figures, updated version