The ground-state transition rate of polaron in quantum rod

The ground-state transition rate of polaron with strong electron-LO-phonon coupling was investigated by employing a Pekar' type variational method in a quantum rod (QR). Quantum transition was occurred in the low dimensional quantum system due to the electron-phonon interaction and the effect of temperature. It was found the polaron can transit from the ground-state to the first-excited state after absorbing a LO-phonon. And the ground-state transition rate of polaron increases with enlarging the transverse and longitudinal confinement lengths of QR and decreases with the increasing of the ground-state energy of polaron. In addition, the ground-state transition rate of polaron is an increasing function of the electron-phonon coupling constant and temperature.