Magnetoroton scattering by phonons in fractional quantum Hall liquids

Motivated by recent phonon-spectroscopy experiments in the fractional quantum Hall regime we consider processes in which thermally excited magnetoroton excitations are scattered by low-energy phonons. We show that such scattering processes can never give rise to dissociation of magnetorotons into unbound charged quasiparticles as had been proposed previously. In addition, we show that scattering of magnetorotons to longer wavelengths by phonon absorption is possible because of the shape of the magnetoroton-dispersion curve and it is shown that there is a characteristic cross-over temperature above which the rate of energy transfer to the electron gas changes from an exponential (activated) to a power-law dependence on the effective phonon temperature