Cyclotron Resonance of Piezoelectric Polarons in the Quantum Limit

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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.

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