Spontaneous fractional Josephson current from parafermions
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866911633589141504 |
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| author | Iyer, Kishore Ratnakar, Amulya Mukhopadyaya, Aabir Rao, Sumathi Das, Sourin |
| author_facet | Iyer, Kishore Ratnakar, Amulya Mukhopadyaya, Aabir Rao, Sumathi Das, Sourin |
| contents | We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter-propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, $ν= 1/m,~ m \in 2\mathbb{Z}+1$, this leads to an electrical control of either Majorana $(m=1)$ or parafermion $(m\neq 1)$ zero modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_05504 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spontaneous fractional Josephson current from parafermions Iyer, Kishore Ratnakar, Amulya Mukhopadyaya, Aabir Rao, Sumathi Das, Sourin Mesoscale and Nanoscale Physics We study a parafermion Josephson junction (JJ) comprising a pair of counter-propagating edge modes of two quantum Hall (QH) systems, proximitized by an s-wave superconductor. We show that the difference between the lengths (which can be controlled by external gates) of the two counter-propagating chiral edges at the Josephson junction, can act as a source of spontaneous phase bias. For the Laughlin filling fractions, $ν= 1/m,~ m \in 2\mathbb{Z}+1$, this leads to an electrical control of either Majorana $(m=1)$ or parafermion $(m\neq 1)$ zero modes. |
| title | Spontaneous fractional Josephson current from parafermions |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2208.05504 |