Anderson localization of polaron states
Abstract
We study the localization of a single polaron in a disordered system within the context of the Anderson-Holstein model. Adopting the statistical dynamical mean field approximation, we calculate the typical polaron tunneling rate and use the vanishing of this rate as an indicator for the breakdown of itinerancy. We find that the ratio between the critical disorder strength needed to localize all states in the (lowest) polaron band and the polaron band width is not necessarily smaller than the corresponding ratio for a bare electron. Specifically in the adiabatic intermediate-to-strong coupling regime, long-range tunneling induced by the electron-phonon interaction substantially suppresses the effect of disorder.Keywords
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