Numerical study of relaxation in electron glasses

Details Numerical study of relaxation in electron glasses Numerical study of relaxation in electron glasses

1999-01-27

arxiv.org/abs/cond-mat/9901311v1

Phys. Rev. B, Vol 59, 5328 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 eps figures. To be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.59.5328

We perform a numerical simulation of energy relaxation in three-dimensional electron glasses in the strongly localized regime at finite temperatures. We consider systems with no interactions, with long-range Coulomb interactions and with short-range interactions, obtaining a power law relaxation with an exponent of 0.15, which is independent of the parameters of the problem and of the type of interaction. At very long times, we always find an exponential regime whose characteristic time strongly depends on temperature, system size, interaction type and localization radius. We extrapolate the longest relaxation time to macroscopic sizes and, for interacting samples, obtain values much larger than the measuring time. We finally study the number of electrons participating in the relaxation processes of very low energy configurations.

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