Abstract
A semiclassical model with randomly distributed N donor and K× N acceptor sites and with infinite-range Coulomb interaction is investigated by means of computer simulations on two-dimensional samples of different sizes. The shape of the Coulomb correlation gap in the density of one-electron excitations g( ε) is obtained for different values of K within a wide energy interval around the Fermi energy μ. Using simple scaling arguments we demonstrate that the true behavior of g( ε) in the immediate neighborhood of μ is hidden by the finite-size effects and find that g( ε) further away from μ is described by a power-law with an exponent, depending on K and the sign of ε− μ.
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