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- W2783998250 abstract "We introduce a family of commuting-projector Hamiltonians whose degrees of freedom involve $mathbb{Z}_{3}$ parafermion zero modes residing in a parent fractional-quantum-Hall fluid. The two simplest models in this family emerge from dressing Ising-paramagnet and toric-code spin models with parafermions; we study their edge properties, anyonic excitations, and ground-state degeneracy. We show that the first model realizes a symmetry-enriched topological phase (SET) for which $mathbb{Z}_2$ spin-flip symmetry from the Ising paramagnet permutes the anyons. Interestingly, the interface between this SET and the parent quantum-Hall phase realizes symmetry-enforced $mathbb{Z}_3$ parafermion criticality with no fine-tuning required. The second model exhibits a non-Abelian phase that is consistent with $text{SU}(2)_{4}$ topological order, and can be accessed by gauging the $mathbb{Z}_{2}$ symmetry in the SET. Employing Levin-Wen string-net models with $mathbb{Z}_{2}$-graded structure, we generalize this picture to construct a large class of commuting-projector models for $mathbb{Z}_{2}$ SETs and non-Abelian topological orders exhibiting the same relation. Our construction provides the first commuting-projector-Hamiltonian realization of chiral bosonic non-Abelian topological order." @default.
- W2783998250 created "2018-01-26" @default.
- W2783998250 creator A5065531701 @default.
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- W2783998250 date "2018-06-26" @default.
- W2783998250 modified "2023-09-23" @default.
- W2783998250 title "Commuting-projector Hamiltonians for chiral topological phases built from parafermions" @default.
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- W2783998250 doi "https://doi.org/10.1103/physrevb.97.245144" @default.
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