Alexander Elgart and Benjamin Schlein
Adiabatic charge transport and the Kubo formula
for Landau Type Hamiltonians
(68K, LaTeX)
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.