Abstract
The ground-state energy and effective mass of an acoustic polaron in onedimension are calculated by using anelectron–longitudinal-acoustic-phonon interaction Hamiltonian derivedhere. The self-trapping of the acoustic polaron is discussed. It isfound that the critical coupling constant shifts toward weakerelectron–phonon interaction with the increasing cutoff wave vector andthe products of the critical coupling constant by the cutoff wave vectortend to a certain value. The self-trapping of acoustic polarons in onedimension is easier to be realized than that in three- andtwo-dimensional systems. The self-trapping transition of acousticpolarons is expected to be observed in the one dimensional systems ofalkali halides and wide-band-gap semiconductors.
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