Quantum Coulomb Glass - Hartree-Fock Approximation versus Exact Diagonalization
We investigate the behavior of disordered interacting electrons in the insulating regime. Our study is based on the quantum Coulomb glass model which is obtained from the classical Coulomb glass by adding hopping matrix elements between neighboring sites. We use two different numerical methods, viz. a Hartree-Fock approximation and an exact diagonalization and compare the results for the tunneling density of states and the localization properties in order to determine the range of validity of the Hartree-Fock method. We find that the Hartree-Fock method gives a good approximation for the density of states for all energies but represents the localization properties correctly close to the Fermi level only. Some consequences for the localization of disordered interacting electrons are discussed.
F. Epperlein et al., "Quantum Coulomb Glass - Hartree-Fock Approximation versus Exact Diagonalization," physica status solidi (b), vol. 205, no. 1, pp. 233-236, Wiley-VCH Verlag, Jan 1998.
The definitive version is available at https://doi.org/10.1002/(SICI)1521-3951(199801)205:1<233::AID-PSSB233>3.0.CO;2-B
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