  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.
