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. If we consider the interaction between phonons of different wave vectors in the recoil process, the magnetic-field dependence of the cyclotron-resonance frequency, induced potential, the effective interaction potential, and the cyclotron-resonance mass of the surface magnetopolaron is obtained by using a linear-combination operator and perturbation method. Numerical calculations, for the AgCl crystal as an example, are performed and some properties of these quantities of the surface polaron in a magnetic field are discussed.

• Received 24 July 1996

DOI:https://doi.org/10.1103/PhysRevB.58.1678