Theory of double magnetophonon resonance in 2D electron gas in tilted magnetic field

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 θ to the perpendicular to the plane of quantum well. The resonance is due to the resonant interaction of 2D conduction electrons with the longitudinal optic phonons. The electrons are assumed to be nondegenerate. The θ-dependence of MPR maxima is investigated. The existence of a double resonance, i.e. two resonant peaks for each value of N (the number of resonance) and the θ-dependence of the MPR maxima is explained by the screening in conjunction with the combined role of the phonon and electron damping and variation of the electron concentration in the well with magnetic field. PACS 73.50.Jt, 73.50.Mx, 63.20.Pw, 71.70.Di