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

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

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).

Suggested Citation

  • Traa, M.R.M.J. & Caspers, W.J. & Banning, E.J., 1994. "The two-hole ground state of the Hubbard-Anderson model, approximated by a variational RVB-type wave function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(1), pages 145-158.
  • Handle: RePEc:eee:phsmap:v:203:y:1994:i:1:p:145-158
    DOI: 10.1016/0378-4371(94)90037-X
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    1. Traa, M.R.M.J. & Caspers, W.J., 1992. "Symmetry breaking in the Anderson-Hubbard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(1), pages 175-186.
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    Cited by:

    1. Elout, M.O. & Traa, M.R.M.J. & Caspers, W.J., 1995. "Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(1), pages 152-169.

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    1. Elout, M.O. & Traa, M.R.M.J. & Caspers, W.J., 1995. "Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(1), pages 152-169.
    2. Traa, M.R.M.J. & Caspers, W.J., 1994. "Effective Hamiltonian for the motion of holes in the Hubbard-Anderson model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(3), pages 583-599.

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