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

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

1995-10-10

arxiv.org/abs/cond-mat/9510044v1

Phys. Rev. B 53 (1996) 10072

Physics

Condensed Matter

12 pages, 2 figures (uuencoded)

Scientific paper

10.1103/PhysRevB.53.10072

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\%.

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