Title

The Hartree-Fock Based Diagonalization - an Efficient Algorithm for the Treatment of Interacting Electrons in Disordered Solids

Abstract

The Hartree-Fock based diagonalization (HFD) 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 of diagonalizing the Hamiltonian in a reduced Hilbert space built of the low-energy states of the corresponding disordered Hartree-Fock (HF) 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.

Meeting Name

MCM (2001: Sep. 10-14, Salzburg, Austria)

Department(s)

Physics

Keywords and Phrases

Algorithms; Approximation theory; Computational methods; Hamiltonians; Quantum theory; Solids; Disordered solids; Electrons

International Standard Serial Number (ISSN)

0378-4754

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 Elsevier, All rights reserved.

Share

 
COinS