Monte Carlo simulation of a two-dimensional electron gas on a disordered host lattice

The low-temperature thermodynamic properties of a two-dimensional electron gas on a disordered host lattice are studied in the limit of low electron concentration. A novel Monte Carlo simulation algorithm making it possible to study the properties of this system effectively is proposed. Nonzero residual entropy per particle is found and its value is determined. It is shown on the basis of the proposed model that a cusp characteristic for spin-glass systems is present in the low-temperature dependence of the dielectric susceptibility as a function of the external electric field.