In the tight-binding random Hamiltonian on Zd, we consider the charge transport induced by an 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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics