Josephson Junction of Nodal Superconductors with Rashba and Ising Spin-Orbit coupling
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| Format: | Preprint |
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2024
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| author | Cohen, Gal Seshadri, Ranjani Khodas, Maxim Meidan, Dganit |
| author_facet | Cohen, Gal Seshadri, Ranjani Khodas, Maxim Meidan, Dganit |
| contents | 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 $Γ-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 $Γ$ 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 $2π$ periodicity in the presence of Rashba spin-orbit coupling. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_05685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Josephson Junction of Nodal Superconductors with Rashba and Ising Spin-Orbit coupling Cohen, Gal Seshadri, Ranjani Khodas, Maxim Meidan, Dganit Mesoscale and Nanoscale Physics Superconductivity 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 $Γ-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 $Γ$ 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 $2π$ periodicity in the presence of Rashba spin-orbit coupling. |
| title | Josephson Junction of Nodal Superconductors with Rashba and Ising Spin-Orbit coupling |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2401.05685 |