Hot-electron magnetophonon resonance in a two-dimensional electron gas

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Abstract
When the broadening of the Landau levels is small, we find that with increasing electron velocity (or equivalently applied electric field) the magnetophonon resonance peak splits up into two peaks. Considering the separate contributions of LO-phonon absorption and emission processes to the nonlinear momentum balance equation, we propose a new physical interpretation for this splitting. A shift and no splitting of the magnetophonon resonant peaks is found when the broadening of the Landau levels is large. Several existing theoretical models are reconciled, and it turns out that the physical behavior for the two-dimensional (2D) case and the 3D case is qualitatively the same when the Landau-level broadening is small. We also study in detail the dependence of the position and amplitude of the nonlinear magnetophonon resonance peaks on lattice temperature, broadening parameter, and electron velocity.