Hubbard Model on Decorated Lattices
Strongly Correlated Electrons
2009-11-10 v1
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 XY model, where each spin degree of freedom represents the two possible chiralities of each local current.
Cite
@article{arxiv.cond-mat/0307753,
title = {Hubbard Model on Decorated Lattices},
author = {C. D. Batista and B. S. Shastry},
journal= {arXiv preprint arXiv:cond-mat/0307753},
year = {2009}
}
Comments
Accepted in Phys. Rev. Lett