Numerical studies of relaxation in Electron Glasses

We study numerically strongly localized systems with long-range Coulomb interactions. We obtain a set of low-energy many-electron configurations. We calculate transition rates between states involving up to six electron jumps. We obtain the density of configurations and the density of metastable states. We also analyze the stability of these metastable states. We use the master equation to simulate the dynamic of the system, both without and with an applied electric field. We obtain in this way the energy relaxation from excited states and the behaviour of the conductivity as the system relaxes. We observe a drastic change in this behaviour for relaxation times close to the Maxwell time.