The ground-state transition probability of impurity bound polaron in quantum rod

Abstract

We using a variational method of Pekar type to study the ground-state transition probability of impurity bound polaron with strong electron–LO-phonon coupling in a quantum rod (QR). Quantum transition is happened in the low dimensional quantum system due to the electron–phonon interaction and the impact of temperature. That is the polaron transit from the ground-state to the first-excited state after absorbing a LO-phonon. We find the ground-state transition probability of impurity bound polaron enlarger with increasing the transverse and longitudinal confinement lengths of QR and changes small with enhancing the ground-state energy of impurity bound polaron. And the ground-state transition probability of bound polaron is an increasing function of the electron–phonon coupling constant.