The Hartree-Fock based diagonalization - an efficient algorithm for the treatment of interacting electrons in disordered solids

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dc.creatorSchreiber, Michael
dc.creatorVojta, Thomas
dc.date2001-11-05
dc.date.accessioned2026-07-07T02:43:23Z
dc.date.available2026-07-07T02:43:23Z
dc.descriptionThe Hartree-Fock based diagonalization is a computational method for the investigation of the low-energy properties of correlated electrons in disordered solids. The method is related to the quantum-chemical configuration interaction approach. It consists in diagonalizing the Hamiltonian in a reduced Hilbert space built of the low-energy states of the corresponding disordered Hartree-Fock Hamiltonian. The properties of the method are discussed for the example of the quantum Coulomb glass, a lattice model of electrons in a random potential interacting via long-range Coulomb interaction. Particular attention is paid to the accuracy of the results as a function of the dimension of the reduced Hilbert space. It is argued that disorder actually helps the approximation.
dc.description14 pages, 8 figures, plenary talk given by M. Schreiber at the 3rd IMACS Seminar on Monte Carlo methods, Salzburg (September 10-14, 2001)
dc.identifierhttps://arxiv.org/abs/cond-mat/0111062
dc.identifierhttp://arxiv.org/abs/cond-mat/0111062
dc.identifierMath. Comp. Sim. 62, 243 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18480
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleThe Hartree-Fock based diagonalization - an efficient algorithm for the treatment of interacting electrons in disordered solids
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