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 interac tion on the localization. The Hartree-Fock calculation reveals that the int eraction reduces the single-particle density of states and enhances the loc alization near the: Fermi energy. It is also found that the energy range, i n which the interaction enhances the localization, broadens with the increa sing hopping strength. The validity of the Hartree-Fock approximation is ch ecked via detailed comparison with the exact diagonalization results. In pa rticular we introduce a generalized inverse participation number, which giv es a good description of the localization in an interacting system. [S0163- 1829(99)02404-2].