摘要

The numerical results of the ground-state energy and the derivate of the acoustic polaron in free-standing quantum wells are performed by using the Huybrechts-like variational approach. The criterion for the self-trapping transition of the acoustic polaron in free-standing quantum wells is determined quantitatively. It is found that the critical coupling constant corresponding the discontinuous transition from a quasi-free state to a trapped state of the acoustic polaron in free-standing quantum wells tends to shift toward the weaker electron-phonon coupling with the increasing cutoff wave-vector. Detailed numerical results confirm that the self-trapping transition of acoustic polaron is expected to realize in the free-standing quantum wells of wide-band-gap semiconductors.