The Surface Polaron Under the Effect of Magnetic Field

Abstract

Using the strong coupling approximation, the exterior surface polaron is retrieved under the effect of an external magnetic field. Two choices for the trial electronic state are considered to cover in both the cases when the electron is just on the surface or confined to a sheet of zero thickness at a finite distance from the surface. It is found that for a rather strong coupling of the electron to the surface phonon modes, the electron goes into abound state localized over the surface. Morever, the magnetic field enhances the effective phonon coupling especially near the surface