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Topological Order with a Twist: Ising Anyons from an Abelian Model

2010/04/30 by H. Bombin · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevlett.105.030403

published as Phys.Rev.Lett.105:030403,2010 · As accepted in journal

arxiv created 2010/07/28 · arxiv updated 2010/07/29

Abstract

Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects are braided and fused has the same outcome as if they were Ising anyons. These ideas can also be applied in the context of topological codes.

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