Phonon-limited low temperature mobility in a quasi-one-dimensional semiconductor quantum wire

The authors derive an analytic expression for the imaginary part of the density response function for a quasi-one-dimensional semiconductor quantum wire with multi-populated subbands at finite temperature. The acoustic-phonon- limited low temperature mobility of the system is then calculated by means of the memory function formalism, neglecting electron-electron interactions. The phonon-limited relaxation rate is found to have a temperature dependence of Tn(T) and they emphasize the temperature dependence of n. In fact the lower the temperature the larger is the n value but, in general, they find that