Ground state of the strong-coupling Hubbard Hamiltonian: A numerical diagonalization study
- 1 January 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 37 (1), 656-659
- https://doi.org/10.1103/physrevb.37.656
Abstract
We exactly diagonalize the effective Hamiltonian obtained from the Hubbard model in the strong-coupling limit for a two-dimensional size square lattice. The effective Hamiltonian operates on a restricted Hilbert space containing only states with singly occupied sites, which makes the diagonalization possible within reasonable computational time for the above lattice. The ground-state energy and wave function are obtained for several values of the coupling ratio and the doping fraction . We find three different phases in the () phase diagram. The first is characterized by antiferromagnetic order which extends to the longest possible distance in the 10-site system. The second and third phases are characterized by antiferromagnetic and ferromagnetic short-range correlations, respectively. We comment on the possible relevance of the results to the recently discovered high-temperature copper-oxide superconductors.
Keywords
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