摘要

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.