Journal
PHYSICAL REVIEW B
Volume 86, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.86.161107
Keywords
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Funding
- NSF [DMR-1005541, NSFC 11074140]
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Non-Abelian statistics is a phenomenon of topologically protected non-Abelian geometric phases as we exchange quasiparticle excitations. Here we construct a Z(N) rotor model that realizes a self-dual Z(N) Abelian gauge theory. We find that lattice dislocation defects in the model produce topologically protected degeneracy. Even though dislocations are not quasiparticle excitations, they resemble non-Abelian anyons with quantum dimension root N. Exchanging dislocations can produce topologically protected projective non-Abelian geometric phases. Therefore, we discover a kind of (projective) non-Abelian anyon that appears as the dislocations in an Abelian Z(N) rotor model. These types of non-Abelian anyons can be viewed as a generalization of the Majorana zero modes.
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