Transverse magnetoconductivity of quasi-two-dimensional semiconductor layers in the presence of phonon scattering

The transverse magnetoconductivity of quasi-two-dimensional layers, such as those occurring in heterojunctions of superlattices and in metal-oxide-semiconductor field-effect transistor inversion layers, is computed using the formalism of linear response theory, developed previously. The electron gas is considered to be quasi-two-dimensional, while the phonons are considered to be three dimensional. Explicit results for magnetophonon resonances are obtained for various kinds of phonon scattering (acoustic, nonpolar optical, polar optical, and piezoelectric). Collision broadening of the Landau levels is included to avoid divergences.