Theory of cyclotron resonance of interacting electrons in a semiconducting surface inversion layer

Abstract

The frequency-dependent conductivity of the quasi-two-dimensional electron gas of a semiconducting surface inversion layer in the presence of a dc magnetic field is calculated. Both electron-electron and electron-impurity scattering are included in the model. The conductivity is evaluated using the memory-function technique. The line shape of the fundamental cyclotron resonance is studied for a variety of values of frequency, transport relaxation time, and quasiparticle lifetime. The frequency-dependent shift in the cyclotron mass obtained in the calculations is found to be quite small.