Properties of the surface magnetopolaron in polar crystals

There is weak bulk but strong surface coupling between the electron and phonons for polar crystals in a magnetic field. In this paper, the influences of the electron interaction with both the weak-coupling bulk longitudinal optical phonons and the strong-coupling surface optical phonons on the properties of the surface polaron in a magnetic field are studied. The effective Hamiltonian of the surface polaron is derived by using a linear-combination operator method. Numerical calculations on the AgCl crystal, as an example, are performed, and some properties of the vibration frequency and the effective interaction potential of the surface polaron in a magnetic field are discussed.