Magnetic field and temperature dependence of the self-trapping energy of a polaron in a polar-crystal slab in arbitrary magnetic field strength

Abstract

Taking into account the interaction of an electron with both bulk longitudinal-optical (BO) and surface longitudinal-optical (SO) phonons, we study the self-trapping energy of a magnetopolaron in a polar-crystal slab as a function of magnetic field and finite temperature, by using the generalized Larsen perturbation-theory method. The temperature dependence of the self-trapping energies ${E}_{\mathrm{BO}}$ and ${E}_{\mathrm{SO}}$ are found to be strongly dependent upon the strength of the magnetic field. The results also show that the self-trapping energy ${E}_{\mathrm{SO}}$, as well as the self-trapping energy ${E}_{\mathrm{BO}}$, plays an important role. However for thin slabs, ${E}_{\mathrm{SO}}$ plays the main role.