99-313 Fumihiko Nakano, Masahiro Kaminaga
Absence of transport under the slowly varying potential in disordered systems (60K, latex 1.5b) Aug 26, 99
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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.

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