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arxiv: 2604.14521 · v1 · submitted 2026-04-16 · ❄️ cond-mat.mes-hall

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

Gen Tatara , Yositake Takane , Aurelien Manchon This is my paper

Pith reviewed 2026-05-10 10:34 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords Josephson junctionspin Hall effectsuperconducting diodephase shiftspin-orbit interactioninversion symmetry
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The pith

An inhomogeneous magnetic field induces an anomalous Josephson phase shift via the inverse spin Hall effect, enabling a diode effect without broken structural inversion symmetry.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines direct and inverse spin Hall effects inside superconductor-normal-superconductor junctions when the spin-orbit interaction itself is invariant under spatial inversion. A supercurrent flowing through the normal region produces a spin Hall effect that creates static spin accumulation of opposite polarization at the two edges. In the inverse process, a spatially varying static magnetic field generates an anomalous phase shift in the Josephson relation. When higher harmonics are present in the current-phase relation, this shift produces non-reciprocal critical currents, realizing a superconducting diode effect. The mechanism operates without the structural inversion asymmetry required in Rashba-based proposals.

Core claim

In an SNS junction whose spin-orbit interaction preserves spatial inversion symmetry, a spatially inhomogeneous static magnetic field induces an anomalous phase shift; in the presence of higher harmonics this shift produces a diode effect.

What carries the argument

The inverse spin Hall effect that converts a spatially inhomogeneous magnetic field into an anomalous phase shift within the Josephson current-phase relation.

If this is right

  • A supercurrent induces static spin accumulation with opposite polarizations at the two edges of the junction.
  • The diode effect appears only when the current-phase relation includes higher harmonics.
  • Non-reciprocal superconductivity becomes possible in materials that preserve structural inversion symmetry.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The mechanism could enable diode functionality in a broader class of inversion-symmetric materials previously considered unsuitable.
  • Controlled experiments could test the effect by applying engineered inhomogeneous fields while measuring critical-current asymmetry in symmetric SNS structures.

Load-bearing premise

The Josephson current-phase relation contains higher-order harmonics that let the induced phase shift break reciprocity.

What would settle it

Observation of symmetric critical currents (no diode effect) in an SNS device with inversion-symmetric spin-orbit coupling under a controlled inhomogeneous magnetic field would falsify the prediction.

Figures

Figures reproduced from arXiv: 2604.14521 by Aurelien Manchon, Gen Tatara, Yositake Takane.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic figures showing (a) the direct and (b) the [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Diagrams contributing to the spin accumulation in [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a): Diagram contributing to the diffusive ISHE at [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. The SC as function of phase [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Schematic figures showing the magnetization gradient [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
read the original 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, the present mechanism does not require broken structural inversion symmetry.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 0 minor

Summary. The manuscript theoretically studies the direct and inverse spin Hall effects in a superconductor-normal metal-superconductor (SNS) junction induced by a spin-orbit interaction invariant under spatial inversion. It shows that a supercurrent induces a spin Hall effect with static spin accumulation of opposite polarizations at the two edges. For the inverse effect, a spatially inhomogeneous static magnetic field induces an anomalous Josephson phase shift that, when higher harmonics are present in the current-phase relation, produces a diode effect. The mechanism is presented as not requiring broken structural inversion symmetry, in contrast to Rashba systems.

Significance. If the derivations hold, the work identifies a new route to the Josephson diode effect that relies only on inversion-symmetric spin-orbit coupling plus an inhomogeneous field, thereby widening the class of candidate materials and geometries beyond those requiring structural asymmetry. The symmetry argument is internally consistent with standard quasiclassical treatments (Usadel/Eilenberger) of the inverse spin Hall effect, and the explicit separation from Rashba mechanisms is a clear strength. No free parameters or ad-hoc entities are introduced at the abstract level.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful reading and positive assessment of our manuscript. We appreciate the recognition that the work identifies a new route to the Josephson diode effect relying on inversion-symmetric spin-orbit coupling together with an inhomogeneous magnetic field, thereby extending the range of candidate systems beyond those requiring structural inversion asymmetry. We are pleased with the recommendation for minor revision.

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The paper derives the direct spin Hall effect from supercurrent in an inversion-symmetric SOI model and the inverse effect from an inhomogeneous magnetic field inducing an anomalous phase shift (with diode behavior enabled by higher harmonics). These steps rely on standard quasiclassical transport equations without any reduction of outputs to fitted inputs by construction, without load-bearing self-citations that substitute for independent derivation, and without smuggling ansatzes or renaming known results. The symmetry argument (no need for structural inversion breaking) follows directly from the stated invariance of the SOI under spatial inversion and is not justified by prior author work. The abstract-level claims are therefore independent of the paper's own inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on the assumption of inversion-symmetric spin-orbit interaction and the presence of higher harmonics in the Josephson relation; no free parameters or new entities are introduced in the abstract.

axioms (2)
  • domain assumption Spin-orbit interaction is invariant under spatial inversion.
    Explicitly stated as the key setup distinguishing the mechanism from Rashba systems.
  • domain assumption Josephson current-phase relation includes higher harmonics.
    Required for the phase shift to produce the diode effect.

pith-pipeline@v0.9.0 · 5399 in / 1229 out tokens · 21768 ms · 2026-05-10T10:34:05.985243+00:00 · methodology

discussion (0)

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Reference graph

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