Exact magnetic phase diagram of the one-dimensional Hubbard model

The exact solution of the one-dimensional Hubbard model, both attractive and repulsive, is investigated numerically over a wide range of interaction strength U/ t (−∞< U/ t<∞), electron concentration n (0⩽ n⩽1) and magnetic field h. The magnetic phase diagram and the ground-state properties, i...

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Published inPhysica. B, Condensed matter Vol. 281; pp. 831 - 833
Main Authors Yang, C, Kocharian, A.N, Chiang, Y.L
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2000
Subjects
Hubbard model
Magnetic transitions
Phase diagrams
Superconductivity
Hubbard model
Phase diagrams
Magnetic transitions
Superconductivity
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Abstract The exact solution of the one-dimensional Hubbard model, both attractive and repulsive, is investigated numerically over a wide range of interaction strength U/ t (−∞< U/ t<∞), electron concentration n (0⩽ n⩽1) and magnetic field h. The magnetic phase diagram and the ground-state properties, including the total energy, the average spin (magnetization) and the spin (magnetic) susceptibility are studied under the variation of U/ t, h/ t and n. The critical behavior near the onset of magnetization and magnetic saturation is analyzed. Our results are in full agreement with the analytical expansions in strong and weak interaction limits and previous numerical studies for h=0.
AbstractList The exact solution of the one-dimensional Hubbard model, both attractive and repulsive, is investigated numerically over a wide range of interaction strength U/ t (−∞< U/ t<∞), electron concentration n (0⩽ n⩽1) and magnetic field h. The magnetic phase diagram and the ground-state properties, including the total energy, the average spin (magnetization) and the spin (magnetic) susceptibility are studied under the variation of U/ t, h/ t and n. The critical behavior near the onset of magnetization and magnetic saturation is analyzed. Our results are in full agreement with the analytical expansions in strong and weak interaction limits and previous numerical studies for h=0.
Author Yang, C
Chiang, Y.L
Kocharian, A.N
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10.1103/PhysRevB.48.16662
10.1103/PhysRevB.6.930
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Magnetic transitions
Superconductivity
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Snippet The exact solution of the one-dimensional Hubbard model, both attractive and repulsive, is investigated numerically over a wide range of interaction strength...
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SubjectTerms Hubbard model
Magnetic transitions
Phase diagrams
Superconductivity
Title Exact magnetic phase diagram of the one-dimensional Hubbard model
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