Journal
PHYSICAL REVIEW B
Volume 98, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.98.201109
Keywords
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Funding
- LabEX ENS-ICFP [ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*]
- Idex PSL Research University [ANR-10-IDEX-0001-02 PSL]
- Region Ile de France
- project Equip@Meso of the programme Investissements dAvenir [ANR-10-EQPX-29-01]
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We discuss a one-dimensional fermionic model with a generalized Z(N) even multiplet pairing extending Kitaev Z(2) chain. The system shares many features with models believed to host localized edge parafermions, the most prominent being a similar bosonized Hamiltonian and a Z(N) symmetry enforcing an N-fold degenerate ground state robust to certain disorders. Interestingly, we show that the system supports a pair of parafermions but they are nonlocal instead of being boundary operators. As a result, the degeneracy of the ground state is only partly topological and coexists with spontaneous symmetry breaking by a (two-particle) pairing field. Each symmetry-breaking sector is shown to possess a pair of Majorana edge modes encoding the topological twofold degeneracy. Surrounded by two band insulators, the model exhibits for N = 4 the dual of an 8 pi fractional Josephson effect highlighting the presence of parafermions.
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