Ground state energy of the Hubbard model: cluster-perturbative results

Abstract

When electron correlations are important it is often necessary to use numerical methods to solve the Hamiltonian for a finite system (cluster) "exactly". Unfortunately, such methods are restricted to small systems. We propose to combine the "exact" numerical diagonalization for small clusters with the perturbative calculations to take into account the intracluster as well as intercluster interactions.

4 pages, 5 eps figures, revtex, epsf, accepted for publication in Phys.Rev.B

References in corpus (3)

• Correlated Electrons in High Temperature Superconductors
• Control of the finite size corrections in exact diagonalization studies
• Cluster diagonalization in systematically expanded Hilbert spaces: application to models of correlated electrons

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• Discontinuous transition of molecular-hydrogen chain to the quasi-atomic state: Exact diagonalization - ab initio approach
• Metallization of solid molecular hydrogen in two dimensions: Mott-Hubbard-type transition