Transport relaxation time of a two-dimensional electron gas due to scattering by surface acoustic waves

We calculate the dc electrical conductivity σ of a two-dimensional electron gas interacting with surface acoustic waves in a quantum well. It is shown that in the low-temperature regime, the behavior of the conductivity in terms of a characteristic temperature ${\Theta }_m$ follows a fourth-power law and a linear law in ${\Theta }_m$/T, respectively, for T≪${\Theta }_m$ and ${\Theta }_m$≪T≪$E_F$/$k_B$. .AE