Electron-electron Relaxation in Disordered Interacting Systems

Details Electron-electron Relaxation in Disordered Interacting Systems Electron-electron Relaxation in Disordered Interacting Systems

2007-08-24

arxiv.org/abs/0708.3328v1

phys. stat. sol. (c) 5, 699 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures, presented on "Transport in Interacting Disordered Systems 12" (TIDS 12) conference

Scientific paper

10.1002/pssc.200777553

We study the relaxation of a non-equilibrium carrier distribution under the influence of the electron-electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part including the disorder and a two-particle part accounting for the Coulomb interaction. We apply the equation-of-motion approach for the density matrix, which provides a fully microscopic description of the relaxation. Our results show that the nonequlibrium distribution in this closed and internally interacting system relaxes exponentially fast during the initial dynamics. This fast relaxation can be described by a phenomenological damping rate. The total single particle energy decreases in the redistribution process, keeping the total energy of the system fixed. It turns out that the relaxation rate decreases with increasing disorder.

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