Phase sensitive information from a planar Josephson junction

Abstract

Josephson tunneling across a planar junction generally depends on the relative twist angle, $\theta$, 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 $\pi /2$ rotation) then the bulk Josephson current vanishes for all $\theta$. Even in this case, we show that for a finite junction, the Josephson current, $J$, has a nonzero edge contribution that depends on $\theta$ 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 $J$.

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Cited by in corpus (1)

• Twisted Nodal Superconductors