Absence of Transport Under a Slowly Varying Potential in Disordered Systems |
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| Authors: | Nakano Fumihiko Kaminaga Masahiro |
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| Institution: | (1) Department of Physics, Princeton University, Princeton, New Jersey, 08544;(2) on leave of absence from Mathematical Institute, Tohoku University, Sendai, 980-77, Japan;(3) Multimedia Systems Research Department, Hitachi Ltd., Central Research Laboratory, 1-280, Higashi-Koigakubo, Kokubunji-shi, Tokyo, 185-8601, Japan |
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| Abstract: | In the tight-binding random Hamiltonian on Z
d
, 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. |
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| Keywords: | charge transport Anderson localization adiabatic theorem |
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