Signatures of Parafermion Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures

Abstract

Parafermion zero modes can arise in hybrid structures composed of $\nu =1/m$ fractional quantum Hall edges proximitized with an s-wave superconductor. Here we consider parafermion and Cooper pair tunneling, and backscattering in a junction formed in such hybrid structures. We find that the $4\pi m$ periodicity due to parafermion-only tunneling reduces, in the presence of backscattering, to $4\pi$-periodic at zero temperature and $2\pi$-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.

v1: 6 pages, 4 figures; v2: 8 pages, 5 figures, appendix added

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Cited by in corpus (1)

• Phases of Quasi-One-Dimensional Fractional Quantum (Anomalous) Hall - Superconductor Heterostructures