article
Ferromagnetic ground states for the Hubbard model on line graphs
Journal of Physics A Mathematical and General · 1991 · Vol. 24(2) · pp. L73–L77
Andreas Mielke✉(École Polytechnique Fédérale de Lausanne)
Abstract
The author discusses some of the properties of the Hubbard model on a line graph with n vertices. It is shown that the model has ferromagnetic ground states if the interaction is repulsive (U)0) and if the number of electrons N satisfies 2n>or=N>or=M. M is a natural number that depends on the line graph. For example, the Kagome lattice is a line graph, it has M=5n/3-1.
Advanced Condensed Matter PhysicsTheoretical and Computational PhysicsAlgebraic structures and combinatorial modelsHubbard modelFerromagnetismGround stateLine graphCondensed matter physicsElectronLattice (music)Line (geometry)GraphPhysics
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448
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Ferromagnetism in the Hubbard model on line graphs and further considerations
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Exact ground states for the Hubbard model on the Kagome lattice
Journal of Physics A Mathematical and General · 1992 · 350 citations
References
Electron correlations in narrow energy bands. II. The degenerate band case
Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1964 · 1,165 citations
Electron correlations in narrow energy bands
Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1963 · 6,560 citations
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