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Topological Quantum Computing Superconducting Qubits

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

arXiv

Authors: Junyi Cao, Angela Kou, Eduardo Fradkin

Year

2023

Paper ID

54462

Status

Preprint

Abstract Read

~2 min

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Abstract

Parafermion zero modes can arise in hybrid structures composed of ν=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 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.

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Parafermion zero modes can arise in hybrid structures composed of ν=1/m fractional quantum Hall edges proximitized with an s-wave superconductor.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.14411 [2] arXiv https://arxiv.org/abs/2309.14411 [3] Publisher https://arxiv.org/abs/2309.14411

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