Localization in one- and two-dimensional quantum Coulomb glasses

We study properties of the one- and two-dimensional quantum Coulomb glasses, with particular attention to the effects of the electron-electron interaction on the localization. The Hartree-Fock calculation reveals that the interaction reduces the single-particle density of states and enhances the localization near the: Fermi energy. It is also found that the energy range, in which the interaction enhances the localization, broadens with the increasing hopping strength. The validity of the Hartree-Fock approximation is checked via detailed comparison with the exact diagonalization results. In particular we introduce a generalized inverse participation number, which gives a good description of the localization in an interacting system. [S0163-1829(99)02404-2].