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Non-Abelian defects in fracton phases of matter

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Fracton phases of matter host fractionalized topological quasiparticles with restricted mobility. A wide variety of fracton models with Abelian excitations had been proposed and extensively studied while the candidates for… Click to show full abstract

Fracton phases of matter host fractionalized topological quasiparticles with restricted mobility. A wide variety of fracton models with Abelian excitations had been proposed and extensively studied while the candidates for non-Abelian fracton phases are less explored. In this paper, we investigate the effect of twisted defects in Abelian fracton models. The twisted defect is launched by introducing a branch cut line hosting anyon condensate. In particular, these twisted defects, which alter different types of quasiparticles, carry projective non-Abelian zero modes. En route, such defects can be engineered via strong on-site hybridization along a branch cut which provides wide tunability and flexibility in experiment platforms. The braiding of twisted defects with projective non-Abelian Berry phases renders an avenue toward fault-tolerant quantum computation.

Keywords: abelian defects; non abelian; fracton phases; twisted defects; phases matter

Journal Title: Physical Review B
Year Published: 2019

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