Calculation of the Strength of the Impurity Cyclotron-Resonance Harmonics

Abstract

Impurity states in strong magnetic field are examined in the adiabatic approximation, to obtain the oscillator strength for the transition in which the Landau quantum number changes more than one. For this purpose, the wave functions for the motion in the field direction are numerically integrated for several values of (a⁄l)², where a=κh²⁄m^*e² and l²=hc⁄eB. The calculated intensities are about 20 times as large as those observed in InSb by Apel and Poehler, if the electron redistribution on changing the field is ignored. Also the effect is considered of other impurities, and of the interaction with acoustic phonons. The former is negligible when the overlap of the ground state wave function is small, while the latter is negligible under ordinary experimental conditions.