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

Ben Yu-Kuang Hu·Karsten Flensberg
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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\%.

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Ben Yu-Kuang Hu, Karsten Flensberg. 1995-10-10. Electron--electron scattering in linear transport in two-dimensional systems. https://doi.org/10.1103/physrevb.53.10072

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