Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-11-05
Math. Comp. Sim. 62, 243 (2003)
Physics
Condensed Matter
Disordered Systems and Neural Networks
14 pages, 8 figures, plenary talk given by M. Schreiber at the 3rd IMACS Seminar on Monte Carlo methods, Salzburg (September 1
Scientific paper
The 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.
Schreiber Michael
Vojta Thomas
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