title: Generalized Kitaev models and extrinsic non-Abelian twist defects.
abstract: We present a wide class of partially integrable lattice models with two-spin interactions which generalize the Kitaev honeycomb model. These models have a conserved quantity associated with each plaquette, conserved large loop operators on the torus, and topological degeneracy. We introduce a "slave-genon" approach which generalizes the Majorana fermion approach in the Kitaev model. The Hilbert space of our spin model can be embedded in an enlarged Hilbert space of non-Abelian twist defects, referred to as genons. In the enlarged Hilbert space, the spin model is exactly reformulated as a model of non-Abelian genons coupled to a discrete gauge field. We discuss in detail a particular Z_{3} generalization, and we show that in a certain limit the model is analytically tractable and produces a non-Abelian topological phase with chiral parafermion edge states.
authors: Microsoft Station Q, Santa Barbara, California 93106, USA.
authors: Maissam
authors: M
authors: Barkeshli
authors: Department of Physics, University of California, Berkeley, California 94720, USA and Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.
authors: Hong-Chen
authors: HC
authors: Jiang
authors: Institute for Theoretical Physics, University of Würzburg, Am Hubland, D-97074 Würzburg, Germany.
authors: Ronny
authors: R
authors: Thomale
authors: Department of Physics, Stanford University, Stanford, California 94305, USA.
authors: Xiao-Liang
authors: XL
authors: Qi