Exact ground states for the Hubbard model on the Kagome lattice
- 21 August 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (16) , 4335-4345
- https://doi.org/10.1088/0305-4470/25/16/011
Abstract
The author gives a complete and rigorous description of the ground states of the Hubbard model on the Kagome lattice for electron densities n>or=5/3 and U>0. If 11/6>n>or=5/3 the system shows a ferromagnetic behaviour at zero temperature. If n is above 11/6 the system is paramagnetic. The proof of these results uses some graph-theoretic methods. The results are applicable to all line graphs of planar lattices, of which the Kagome lattice is an example.Keywords
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