Abstract
The ground state energies and the derivates of the acoustic polaron in cylindrical quantum wire systems are performed by using the Huybrechts-like variational approach. The criterions for presence of the self-trapping transition of the acoustic polaron in cylindrical quantum wires are determined qualitatively. It is found that the critical coupling constant for the discontinuous transition from a quasi-free state to a trapped state of the acoustic polaron in cylindrical quantum wires tends to shift toward the weaker electron–phonon coupling with the increasing of cutoff wave vector. Detailed numerical results confirm that the self-trapping transition is expected to occur in the cylindrical quantum wire systems of alkali halides and wide-band-gap semiconductors.
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