Signatures of Parafermion Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916197038030848 |
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| author | Cao, Junyi Kou, Angela Fradkin, Eduardo |
| author_facet | Cao, Junyi Kou, Angela Fradkin, Eduardo |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_14411 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Signatures of Parafermion Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures Cao, Junyi Kou, Angela Fradkin, Eduardo Strongly Correlated Electrons Mesoscale and Nanoscale Physics Superconductivity Quantum Physics 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. |
| title | Signatures of Parafermion Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2309.14411 |