Localization and electron-phonon interactions in disordered systems

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Abstract
We study numerically the time evolution of the coupled system of an electron, described by a tight-binding model exhibiting metal-insulator transition, interacting with vibra- tional degrees of freedom. Depending on the initial energy of the electron, Ee(0), its efiective mass, m⁄, on how close to the mobility edge it is and the strength of the electron-phonon coupling, difierent types of localized and extended states are formed. We flnd, that, in general, an increase of Ee(0) decreases the ability of the system to form localized states, a large m⁄ does not always favor localization and polaron formation is facilitated near the mobility edge.