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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27778

    Title: Self-consistent and exact studies of pairing correlations and crossover in the one-dimensional attractive Hubbard model
    Authors: Kocharian, A. N.;Yang, C.;Chiang, Y. L.
    Contributors: 淡江大學物理學系
    Date: 1999-03
    Issue Date: 2013-07-09 15:24:33 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: Ground-state properties of the attractive Hubbard model in one dimension are studied by means of both the exact Bethe-ansatz formalism and the self-consistent field (SCF) approach with renormalized chemical potential for general band fillings n and a wide range of coupling strength U/t. The energy, the concentration of double occupied sites, the kinetic energy and the chemical potential of the ground state are in a good numerical agreement with the exact results over a wide range of parameters U/t and n. The concentration of local pairs or double occupied sites in the Bethe-ansatz solution serves as a suitable parameter measuring the electron pairing correlations. The SCF theory provides a simple analytical relationship between the concentration of double occupied sites, the band filling and the BCS order parameter, valid for arbitrary U/t and n. The calculated energy gap, the BCS order parameter, the phase diagram and the compressibility are also discussed. The SCF theory in one dimension distinguishes the order parameter from the excitation gap and suggests a smooth crossover away from half-filling (at n≠1) from the BCS pairing to the Bose condensation regime under the variation of U/t and n.
    Relation: Physical Review B (Condensed Matter and Materials Physics) 59(11), pp.7458-7472
    DOI: 10.1103/PhysRevB.59.7458
    Appears in Collections:[物理學系暨研究所] 期刊論文

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