THE EFFECT OF ELECTRON PHONON INTERACTIONS ON THE CYCLOTRON MASS AND SELF-TRAPPING ENERGY OF AN INTERFACE POLARON

Employing Haga's perturbation method, we derive an effective Hamiltonian for the interface magnetopolaron in polar crystals at zero temperature, in which the interactions of both bulk longitudinal optical (LO) phonons and interface (IF) phonons have been taken into account. Solving this effective Hamiltonian analytically, we obtain explicit formulae not only for the electron cyclotron mass associated with the Landau levels but also for the self-trapping energy of the magnetopolaron with respect to its first three quantum states in the direction normal to the interface of the system. Numerical results are calculated for some II-VI and III-V compounds, revealing that the effects of the bulk LO phonons and IF phonons on the electron in different quantum states do show different trends.