Byk. Hu et K. Flensberg, ELECTRON-ELECTRON SCATTERING IN LINEAR TRANSPORT IN 2-DIMENSIONAL SYSTEMS, Physical review. B, Condensed matter, 53(15), 1996, pp. 10072-10077
We describe a method for numerically incorporating electron-electron s
cattering in quantum wells for small deviations of the distribution fu
nction from equilibrium, within the framework of the Boltzmann equatio
n. For a given temperature T and density n, a symmetric matrix needs t
o be evaluated only once, and henceforth it can be used to describe el
ectron-electron scattering in any Boltzmann equation linear-response c
alculation for that particular T and n. Using this method, we calculat
e the distribution function and mobility for electrons in a quantum we
ll, including full finite-temperature dynamic screening effects. We fi
nd that at some parameters that we investigated, electron-electron sca
ttering reduces the mobility by approximately 40%.