Abstract
We propose an extended Hubbard model on a 2D kagomé lattice with an additional ring exchange term. The particles can be either bosons or spinless fermions. We analyze the model at the special filling fraction , where it is closely related to the quantum dimer model. We show how to arrive at an exactly soluble point whose ground state is the “-isotopy” transition point into a stable phase with a certain type of non-Abelian topological order. Near the “special” values, , this topological phase has anyonic excitations closely related to Chern-Simons theory at level .
- Received 11 December 2003
DOI:https://doi.org/10.1103/PhysRevLett.94.066401
©2005 American Physical Society