Ground State of the Strong-Coupling Hubbard Hamiltonian: A Numerical Diagonalization Study
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CitationKaxiras, Efthimios and Efstratios Menousakis. Ground state of the strong-coupling Hubbard Hamiltonian: A numerical diagonalization study. Physical Review B 37(1): 656-659.
AbstractWe exactly diagonalize the effective Hamiltonian obtained from the Hubbard model in the strong-coupling limit for a two-dimensional sqrt×sqrt 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 t / U and the doping fraction x. We find three different phases in the (x,t / U) 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:2943923
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