{ "id": "2401.05685", "version": "v1", "published": "2024-01-11T06:22:14.000Z", "updated": "2024-01-11T06:22:14.000Z", "title": "Josephson Junction of Nodal Superconductors with Rashba and Ising Spin-Orbit coupling", "authors": [ "Gal Cohen", "Ranjani Seshadri", "Maxim Khodas", "Dganit Meidan" ], "comment": "9 pages, 9 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.supr-con" ], "abstract": "We study the effect of a Rashba spin-orbit coupling on the nodal superconducting phase of an Ising superconductor. Such nodal phase was predicted to occur when applying an in-plane field beyond the Pauli limit to a superconducting monolayer transition metal dichalcogenides (TMD). Generically, Rashba spin-orbit is known to lift the chiral symmetry that protects the nodal points, resulting in a fully gapped phase. However, when the magnetic field is applied along the $\\Gamma -K $ line, a residual vertical mirror symmetry protects a nodal crystalline phase. We study a single-band tight-binding model that captures the low energy physics around the $\\Gamma $ pocket of monolayer TMD. We calculate the topological properties, the edge state structure, and the current phase relation in a Josephson junction geometry of the nodal crystalline phase. We show that while the nodal crystalline phase is characterized by localized edge modes on non-self-reflecting boundaries, the current phase relation exhibits a trivial $2\\pi $ periodicity in the presence of Rashba spin-orbit coupling.", "revisions": [ { "version": "v1", "updated": "2024-01-11T06:22:14.000Z" } ], "analyses": { "keywords": [ "josephson junction", "nodal crystalline phase", "ising spin-orbit coupling", "nodal superconductors", "monolayer transition metal dichalcogenides" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }