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Monte Carlo simulation of hopping conduction in two-dimensional Coulomb glasses

We have carried out a Monte Carlo simulation of the conductivity of a two-dimensional strongly localized interacting system. A plot of dlog sigma /dlogT versus T, on a double logarithmic scale, clearly shows two distinct regimes, one activated at high T and a non-activated one at low T. The conductivity exponent in this later regime is close to 1/2 , in agreement with Efros and Shklovskii's predictions (1984), although the characteristic temperature T0'; is about a factor of two smaller than predicted.