Ground State of the Strong-Coupling Hubbard Hamiltonian: A Numerical Diagonalization Study

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Ground State of the Strong-Coupling Hubbard Hamiltonian: A Numerical Diagonalization Study

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Title: Ground State of the Strong-Coupling Hubbard Hamiltonian: A Numerical Diagonalization Study
Author: Menousakis, Efstratios; Kaxiras, Efthimios

Note: Order does not necessarily reflect citation order of authors.

Citation: Kaxiras, Efthimios and Efstratios Menousakis. Ground state of the strong-coupling Hubbard Hamiltonian: A numerical diagonalization study. Physical Review B 37(1): 656-659.
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Abstract: We exactly diagonalize the effective Hamiltonian obtained from the Hubbard model in the strong-coupling limit for a two-dimensional sqrt[10]×sqrt[10] 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.
Published Version: http://link.aps.org/doi/10.1103/PhysRevB.37.656
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2943923

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  • FAS Scholarly Articles [7456]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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