Cyclotron Resonance of Piezoelectric Polarons in the Quantum Limit

Abstract

The shift of the cyclotron resonance frequency of electrons in piezoelectric semiconductors at finite temperature is calculated for the case of such a strong magnetic field that the energy separation of the Landau levels is larger than thermal energy. The thermal Green-function method is used to calculate the energy shifts of the two lowest Landau levels between which the transition occurs; the Dyson equation for the electron self-energy part is solved in an approximate way, taking into account the broadening and the shift of electronic states self-consistently. The shift obtained agrees in sign, and roughly in magnitude, with that given by a semiclassical theory, and with that observed in CdS by Baer and Dexter.