An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase

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dc.creatorFreedman, Michael
dc.creatorNayak, Chetan
dc.creatorShtengel, Kirill
dc.date2003-12-11
dc.date2004-11-09
dc.date.accessioned2026-07-07T02:55:20Z
dc.date.available2026-07-07T02:55:20Z
dc.descriptionWe propose an extended Hubbard model on a 2D Kagome lattice with an additional ring-exchange term. The particles can be either bosons or spinless fermions . At a special filling fraction of 1/6 the model is analyzed in the lowest non-vanishing order of perturbation theory. Such ``undoped'' model is closely related to the Quantum Dimer Model. We show how to arrive at an exactly soluble point whose ground state manifold is the extensively degenerate ``d-isotopy space'', a necessary precondition for for a certain type of non-Abelian topological order. Near the ``special'' values, $d = 2 \cos π/(k+2)$, this space is expected to collapse to a stable topological phase with anyonic excitations closely related to SU(2) Chern-Simons theory at level k.
dc.description4 pages, 2 colour figures, submitted to PRL. For an extended treatment of a more general family of models see cond-mat/0309120
dc.identifierhttps://arxiv.org/abs/cond-mat/0312273
dc.identifierhttp://arxiv.org/abs/cond-mat/0312273
dc.identifierPhys. Rev. Lett. 94, 066401 (2005)
dc.identifierdoi:10.1103/PhysRevLett.94.066401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22905
dc.subjectStrongly Correlated Electrons
dc.titleAn extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
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