Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test

Elout, M.O. and Traa, M.R.M.J. and Caspers, W.J. (1995) Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test. Physica A: Theoretical and statistical physics, 215 (1-2). pp. 152-169. ISSN 0378-4371

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Abstract:	Several resonating-valence-bond-type states are being considered as an approximation of the two-hole ground state of the two-dimensional Hubbard-Anderson model. These states have been carefully constructed by Traa and Caspers with such algebraic properties, as to optimise different contributions of the Hubbard-Anderson hamiltonian. In this paper, the different contributions to their energies are calculated for lattices with sizes from 8 × 8 up to 16 × 16 and periodic boundary conditions, using a variational Monte-Carlo method. We show which state is lowest in energy and, more important, why this is so. In accordance with the optimal state from this tested set, we propose a bound state. It will be shown that this state is indeed the most stable state.
Item Type:	Article
Copyright:	© 1995 Elsevier Science
Research Group:	Theoretical Physics
Link to this item:	http://purl.utwente.nl/publications/24799
Official URL:	http://dx.doi.org/10.1016/0378-4371(94)00270-4
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