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.