Polaron formation in one-dimensional quasiperiodic systems

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Abstract
We have studied through real-time numerical simulations the question of polaron formation by a single electron injected in a band consisting of fluctuating amplitude or mobility edge eigenstates. We found that polaron formation depends strongly on how close to a mobility edge the initial state is, on its average energy, and, to a much lesser degree, on its shape. In some instances novel highly excited long-lived localized polarons appear. In general, the time evolution exhibits an unexpected behavior; even for very long times, the electron does not seem to transfer much of its energy to the lattice.