2003/07/31 by Cristian D. Batista, C. D. Batista, B. Sriram Shastry +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.91.116401
published as Phys. Rev. Lett. 91, 116401 (2003) · Accepted in Phys. Rev. Lett
arxiv created 2003/07/31 · openalex publication_date 2003/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a family of lattices for which the Hubbard model and its natural extensions can be quasiexactly 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 Kagomè 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.