Theory of double magnetophonon resonance in a two-dimensional electron gas in a tilted magnetic field

Abstract

A theory of double magnetophonon resonance (MPR) in quantum wells in magnetic field is developed. The magnetic field is assumed to be tilted at an angle \ensuremath{\theta} to the perpendicular to the plane of quantum well. The resonance is due to the resonant interaction of two-dimensional conduction electrons with the longitudinal optic phonons. The electrons are assumed to be nondegenerate. The \ensuremath{\theta} dependence of MPR maxima is investigated. The existence of a double resonance, i.e., two resonant peaks for each value of $\mathcal{N}$ (the number of resonance) and sharpness of the \ensuremath{\theta} dependence is explained by the screening in conjunction with the combined role of the phonon and electon damping and variation of electron concentration in the well with magnetic field.