Topological order with a twist: Ising anyons from an Abelian model.

  title={Topological order with a twist: Ising anyons from an Abelian model.},
  author={H. Bombin},
  journal={Physical review letters},
  volume={105 3},
  • H. Bombin
  • Published 2010
  • Physics, Medicine
  • Physical review letters
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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