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

Michael Schreiber; Thomas Vojta

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

Michael Schreiber·Thomas Vojta

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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.

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BibTeX RIS

Michael Schreiber, Thomas Vojta. 2001-11-05. The Hartree-Fock based diagonalization - an efficient algorithm for the treatment of interacting electrons in disordered solids. https://arxiv.org/abs/cond-mat/0111062

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