[2208.05504] Spontaneous fractional Josephson current from parafermions Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Mesoscale and Nanoscale Physics arXiv:2208.05504 (cond-mat) [Submitted on 10 Aug 2022 ( v1 ), last revised 28 Aug 2022 (this version, v2)] Title: Spontaneous fractional Josephson current from parafermions Authors: Kishore Iyer , Amulya Ratnakar , Aabir Mukhopadyaya , Sumathi Rao , Sourin Das View a PDF of the paper titled Spontaneous fractional Josephson current from parafermions, by Kishore Iyer and 3 other authors View PDF HTML (experimental) Abstract: 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, $\nu = 1/m,~ m \in 2\mathbb{Z}+1$, this leads to an electrical control of either Majorana $(m=1)$ or parafermion $(m\neq 1)$ zero modes. Comments: 10 pages, 4 figures Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Cite as: arXiv:2208.05504 [cond-mat.mes-hall] (or arXiv:2208.05504v2 [cond-mat.mes-hall] for this version) https://doi.org/10.48550/arXiv.2208.05504 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. B 107, L121408 (2023) Related DOI : https://doi.org/10.1103/PhysRevB.107.L121408 Focus to learn more DOI(s) linking to related resources Submission history From: Kishore Iyer [ view email ] [v1] Wed, 10 Aug 2022 18:00:07 UTC (610 KB) [v2] Sun, 28 Aug 2022 02:10:34 UTC (394 KB) Full-text links: Access Paper: View a PDF of the paper titled Spontaneous fractional Josephson current from parafermions, by Kishore Iyer and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mes-hall < prev | next > new | recent | 2022-08 Change to browse by: cond-mat References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from