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

• URL: http://arxiv.org/abs/2309.14411v2
• Date: Wed, 27 Mar 2024 04:07:17 GMT
• Title: Signatures of Parafermion Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures
• Authors: Junyi Cao, Angela Kou, Eduardo Fradkin,
• Abstract summary: Parafermion zero modes can arise in hybrid structures composed of $nu=1/m$ fractional quantum Hall edges proximitized with an s-wave superconductor. We consider parafermion and Cooper pair tunneling, and backscattering in a junction formed in such hybrid structures.
• Score: 1.5020330976600738
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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