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Josephson phase shift and diode effect due to the inverse spin Hall effect

Gen Tatara

Yositake Takane

Aurelien Manchon

  • Graduate School of Advanced Science and Engineering, Hiroshima University, Higashihiroshima, Hiroshima 739-8530, Japan

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Phys. Rev. B 114, 134415 – Published 11 September, 2026

DOI: https://doi.org/10.1103/pyhy-lc7r

Abstract

We theoretically study the direct and inverse spin Hall effects in a superconductor-normal metal-superconductor junction induced by a spin-orbit interaction that is invariant under spatial inversion. We show that a supercurrent induces a spin Hall effect, leading to a static spin accumulation with opposite polarizations at the two edges, analogous to that in normal conductors. For the inverse effect, we consider a spatially inhomogeneous static magnetic field and show that it induces an anomalous phase shift, which, in the presence of higher harmonics, results in a diode effect. Unlike Rashba systems studied previously, the present mechanism does not require broken structural inversion symmetry, since an inhomogeneous magnetic field, equivalent to a spin current, breaks the inversion symmetry extrinsically.

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Phys. Rev. B 114, 134415– Published 11 September, 2026
  • Received 15 April 2026
  • Revised 21 August 2026
  • Accepted 24 August 2026
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