Two-dimensional polaron in a magnetic field

Abstract
The ground-state energy of a Fröhlich optical polaron confined to two dimensions, placed in a perpendicular magnetic field is calculated within the Feynman path-integral approach. The Feynman-model mass, the magnetization and the susceptibility are calculated as a function of the magnetic field strength for different values of the electron-phonon coupling. We find that within the generalized Feynman approximation the polaron exhibits a discontinuous transition from a dressed state to a stripped state if the electron-phonon constant α is larger than 1.60. For α, the transition occurs continuously with increasing magnetic field.