A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation

Details A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation

2007-12-02

arxiv.org/abs/0712.0190v3

Phys.Rev.B78:115421,2008

Physics

Condensed Matter

Strongly Correlated Electrons

Additinal figures, minor corrections

Scientific paper

10.1103/PhysRevB.78.115421

We study a family of non-Abelian topological models in a lattice that arise by modifying the Kitaev model through the introduction of single-qudit terms. The effect of these terms amounts to a reduction of the discrete gauge symmetry with respect to the original systems, which corresponds to a generalized mechanism of explicit symmetry breaking. The topological order is either partially lost or completely destroyed throughout the various models. The new systems display condensation and confinement of the topological charges present in the standard non-Abelian Kitaev models, which we study in terms of ribbon operator algebras.

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