The Hartree-Fock based diagonalization - an efficient algorithm for the treatment of interacting electrons in disordered solids
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0111062,
title = {The Hartree-Fock based diagonalization - an efficient algorithm for the treatment of interacting electrons in disordered solids},
author = {Michael Schreiber and Thomas Vojta},
journal= {arXiv preprint arXiv:cond-mat/0111062},
year = {2007}
}
Comments
14 pages, 8 figures, plenary talk given by M. Schreiber at the 3rd IMACS Seminar on Monte Carlo methods, Salzburg (September 10-14, 2001)