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Hubbard Model on Decorated Lattices

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arxiv cond-mat/0307753 v1 pith:5LA6XEH3 submitted 2003-07-31 cond-mat.str-el

C. D. Batista , B. S. Shastry This is my paper · ORCID
classification cond-mat.str-el
keywords modelhubbarddecoratedenergygroundlatticeslocalsolved
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abstract

We introduce a family of lattices for which the Hubbard model and its natural extensions can be quasi-exactly solved, i.e. solved for the ground and low energy states. In particular, we show rigorously that the ground state of the Hubbard model with off-site Coulomb repulsions on a decorated Kagom\`{e} lattice is an ordered array of local currents. The low energy theory describing this chiral state is an $S=1/2$ XY model, where each spin degree of freedom represents the two possible chiralities of each local current.

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