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Energy Dependence of Quasi-Particle Relaxation in a Disordered Fermi Liquid

T. Schmidt·P. König·E. McCann·Vladimir I. Fal'ko·R. J. Haug
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Abstract

A spectroscopic method is applied to measure the inelastic quasi-particle relaxation rate in a disordered Fermi liquid. The quasi-particle relaxation rate, $γ$ is deduced from the magnitude of fluctuations in the local density of states, which are probed using resonant tunneling through a localized impurity state. We study its dependence on the excitation energy $E$ measured from the Fermi level. In a disordered metal (heavily doped GaAs) we find $γ\propto E^{3/2}$ within the experimentally accessible energy interval, in agreement with the Altshuler-Aronov theory for electron-electron interactions in diffusive conductors.

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T. Schmidt, P. König, E. McCann, Vladimir I. Fal'ko, R. J. Haug. 2000-11-13. Energy Dependence of Quasi-Particle Relaxation in a Disordered Fermi Liquid. https://doi.org/10.1103/physrevlett.86.276

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