Extended Hubbard Model with Ring Exchange: A Route to a Non-Abelian Topological Phase

Michael Freedman, Chetan Nayak, and Kirill Shtengel
Phys. Rev. Lett. 94, 066401 – Published 14 February 2005

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 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.

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  • Received 11 December 2003

DOI:https://doi.org/10.1103/PhysRevLett.94.066401

©2005 American Physical Society

Authors & Affiliations

Michael Freedman1, Chetan Nayak1,2, and Kirill Shtengel1

  • 1Microsoft Research, One Microsoft Way, Redmond, Washington 98052, USA
  • 2Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA

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Issue

Vol. 94, Iss. 6 — 18 February 2005

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