Phys. Rev. Lett. 94, 066401 (2005) [4 pages]Extended Hubbard Model with Ring Exchange: A Route to a Non-Abelian Topological PhaseReceived 11 December 2003; published 14 February 2005 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 1/6, 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 “d-isotopy” transition point into a stable phase with a certain type of non-Abelian topological order. Near the “special” values, d=2cosπ/(k+2), this topological phase has anyonic excitations closely related to SU(2) Chern-Simons theory at level k. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.066401
DOI:
10.1103/PhysRevLett.94.066401
PACS:
71.10.Hf, 71.10.Fd, 71.10.Pm
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