Electron--electron scattering in linear transport in two-dimensional systems

Abstract

We describe a method for numerically incorporating electron--electron scattering in quantum wells for small deviations of the distribution function from equilibrium, within the framework of the Boltzmann equation. For a given temperature $T$ and density $n$, a symmetric matrix needs to be evaluated only once, and henceforth it can be used to describe electron--electron scattering in any Boltzmann equation linear-response calculation for that particular $T$ and $n$. Using this method, we calculate the distribution function and mobility for electrons in a quantum-well, including full finite-temperature dynamic screening effects. We find that at some parameters which we investigated, electron--electron scattering reduces mobility by approximately 40\%.

12 pages, 2 figures (uuencoded)

References in corpus (2)

• Plasmon enhancement of Coulomb drag in double quantum well systems
• Electron-electron interactions, coupled plasmon-phonon modes, and mobility in n-type GaAs

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