The two-hole ground state of the Hubbard-Anderson model, approximated by a variational RVB-type wave function

M.R.M.J. Traa, W.J. Caspers and E.J. Banning

Physica A: Statistical Mechanics and its Applications, 1994, vol. 203, issue 1, 145-158

Abstract: In this paper the Hubbard-Anderson model on a square lattice with two holes is studied. The ground state (GS) is approximated by a variational RVB-type wave function. The holes interact by exchange of a localized spin excitation (SE), which is created or absorbed if a hole moves to a nearest-neighbour site. An SE can move over the sublattice on which it is created. A variational calculation of the GS and the GS-energy is performed for an open-ended 4 × 4 lattice with two holes with the restriction that the SE is neighbouring both holes and does not move over its sublattice. It is found that the two holes prefer a bound state in which their mutual distance is 1 or 2 (with lattice spacing 1).

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:203:y:1994:i:1:p:145-158

DOI: 10.1016/0378-4371(94)90037-X

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