Effect of temperature on lifetime and energy states of bound polaron in asymmetrical Gaussian quantum well

Abstract

In this work, we have investigated the effect of temperature on the ground state energy, first excited state energy and the lifetime of bound polaron in an asymmetrical Gaussian quantum well. In this regard, we have used the well-known Lee–Low–Pines unitary transformation method and the Pekar type variational procedure. We have also discussed the influence of the Coulomb bound parameter and the electron–phonon coupling strength on the energy states, the phonons mean number and the lifetime. It is found that the ground and first excited state energies increase with raising temperature. The energy change of states decreases with increasing the Coulomb bound parameter and the electron-phonon coupling strength. The lifetime of bound polaron is a decreasing function of temperature. It is observed that the range and the height of Gaussian potential well are important characterizations to study the energy levels and lifetime of strong-coupling polaron in an asymmetrical Gaussian quantum well.