Exact Many-Electron Ground States on Diamond and Triangle Hubbard Chains(Interaction and Nanostructural Effects in Low-Dimensional Systems)

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概要

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• We construct exact ground states of interacting electrons on triangle and diamond Hubbard chains. The construction requires (i) a rewriting of the Hamiltonian into positive semidefinite form, (ii) the construction of a many-electron ground state of this Hamiltonian, and (iii) the proof of the uniqueness of the ground state. This approach works in any dimension, requires no integrability of the model, and only demands sufficiently many microscopic parameters in the Hamiltonian which have to fulfill certain relations. The scheme is first employed to construct exact ground state for the diamond Hubbard chain in a magnetic field. These ground states are found to exhibit a wide range of properties such as flat-band ferromagnetism and correlation induced metallic, half-metallic or insulating behavior, which can be tuned by changing the magnetic flux, local potentials, or electron density. Detailed proofs of the uniqueness of the ground states are presented. By the same technique exact ground states are constructed for triangle Hubbard chains and a one-dimensional periodic Anderson model with nearest-neighbor hybridization. They permit direct comparison with results obtained by variational techniques for f-electron ferromagnetism due to a flat band in CeRh_3B_2.

• 理論物理学刊行会の論文
• 2009-02-05

著者

• Vollhardt Dieter

  Theoretical Physics Iii Center For Electronic Correlations And Magnetism Institute Of Physics Univer

• GULACSI Zsolt

  Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, Uni

• KAMPF Arno

  Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, Uni

• Kampf Arno

  Theoretical Physics Iii Center For Electronic Correlations And Magnetism Institute Of Physics Univer

• Gulacsi Zsolt

  Theoretical Physics Iii Center For Electronic Correlations And Magnetism Institute Of Physics Univer

• GULACSI Zsolt

  Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg:Department of Theoretical Physics, Faculty of Natural Sciences, University of Debrecen

• KAMPF Arno

  Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg

関連論文

• Exact Many-Electron Ground States on Diamond and Triangle Hubbard Chains(Interaction and Nanostructural Effects in Low-Dimensional Systems)

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