淡江大學機構典藏:Item 987654321/27612
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/27612


    Title: Phase transitions and exact ground-state properties of the one-dimensional Hubbard model in a magnetic field
    Authors: Yang, C.;Kocharian, A.N.;Chiang, Y.L.
    Contributors: 淡江大學物理學系
    Keywords: Electrodynamics;Energy gap;Ground state;Kinetic energy;Magnetic susceptibility;Magnetization;Mathematical models;Phase diagrams;Phase transitions;Charge energy gap;Chemical potential;Exact ground state properties;Ground state energy;One dimensional Hubbard model;Magnetic field effects
    Date: 2000-08
    Issue Date: 2013-06-13 11:23:46 (UTC+8)
    Publisher: Temple Way: Institute of Physics (IOP)
    Abstract: The exact phase diagrams of the one-dimensional Hubbard model, both attractive and
    repulsive, in the presence of an arbitrary magnetic field h for various electron concentrations n
    and on-site interaction strengths U < 0 or U > 0 are calculated and investigated. The exact
    ground-state properties, namely, the ground-state energy, the average spin (magnetization), the
    concentration of the doubly occupied sites, the kinetic energy, the chemical potential, the spin
    (magnetic) susceptibility and the charge compressibility, are calculated and examined over a wide
    range of interaction strengths U for various h and n. It is found that the spin susceptibility at half-
    filling is non-analytic and changes discontinuously asU → 0. The exact theory shows the absence
    of a charge energy gap in the U 0 region for all n and provides, for the chemical potential,
    the rigorous upper and lower bounds for half-filled and empty bands respectively. The analytical
    results derived for the weak-coupling limit and asymptotic expansions for strong coupling are in
    full agreement with the numerical calculations.
    Relation: Journal of Physics Condensed Matter 12(33), pp.7433-7454
    DOI: 10.1088/0953-8984/12/33/311
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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