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

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

2010-04-11

arxiv.org/abs/1004.1838v2

Phys.Rev.Lett.105:030403,2010

Physics

Condensed Matter

Strongly Correlated Electrons

As accepted in journal

Scientific paper

10.1103/PhysRevLett.105.030403

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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