Fumihiko Nakano, Masahiro Kaminaga
Absence of transport under the slowly varying potential
in disordered systems
(60K, latex 1.5b)
ABSTRACT. In the tight-binding
random Hamiltonian on ${\bf Z}^d$,
we consider the charge transport induced by
the electric potential which varies sufficiently slowly in time,
and prove that it is almost surely
equal to zero at high disorder.
In order to compute the charge transport,
we adopt the adiabatic approximation
and prove a weak form of adiabatic theorem
while there is no spectral gap at the Fermi energy.