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.