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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.11657 |
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Table of Contents:
- Josephson tunneling across a planar junction generally depends on the relative twist angle, $θ$, between the two layers. However, if under a discrete rotation, the order parameter in one layer is odd and the other is even (as, e.g., for a $s$-wave to $d_{x^2-y^2}$-wave junction under a $π/2$ rotation) then the bulk Josephson current vanishes for all $θ$. Even in this case, we show that for a finite junction, the Josephson current, $J$, has a nonzero edge contribution that depends on $θ$ and the orientation of the junction edges in ways that can serve as an unambiguous probe of the order parameter symmetry of any time-reversal preserving system (including multiband systems and those in which spin-orbit coupling is significant). We also analyze the microscopic considerations that determine the magnitude of $J$.