Signatures of parafermion zero modes in fractional quantum Hall-superconductor heterostructures

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Parafermion zero modes can arise in hybrid structures composed of ν=1/m fractional quantum Hall edges' proximity coupled by an s-wave superconductor. Here we consider a Josephson junction formed in such hybrid structures in addition to parafermion tunneling, Cooper pair tunneling, and backscattering. We find that the 4πm periodicity due to parafermion-only tunneling reduces, in the presence of backscattering, to 4π-periodic at zero temperature and 2π-periodic at finite temperature unless the fermion parity is fixed. Nevertheless, a clear signature of parafermion tunneling remains in the shape of the current-phase relation.

Original languageEnglish (US)
Article numberL161106
JournalPhysical Review B
Issue number16
StatePublished - Apr 15 2024

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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