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arxiv: 2602.15213 · v2 · pith:MGPQ72KJnew · submitted 2026-02-16 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Diode effect in microwave irradiated Josephson junctions with Yu-Shiba-Rusinov states

Aritra Lahiri , Marcel Pol\'ak , Bj\"orn Trauzettel This is my paper

Pith reviewed 2026-05-15 21:25 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hall
keywords Josephson junctionYu-Shiba-Rusinov statesmicrowave irradiationdiode effectcritical current asymmetrysymmetry breakingsuperconducting transport
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0 comments X

The pith

Microwave irradiation induces asymmetric critical currents in Josephson junctions with Yu-Shiba-Rusinov states when particle-hole and inversion symmetries are broken.

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

The paper shows that applying microwaves to Josephson junctions with magnetic impurities, which create Yu-Shiba-Rusinov states, produces a diode-like response where the maximum supercurrent differs for positive and negative directions. This asymmetry appears only when particle-hole symmetry is broken by nonzero potential scattering and inversion symmetry is broken by unequal scattering strengths or magnetic moments. The microwaves add a current contribution that does not depend on the superconducting phase difference, an effect missing in the same junction without radiation. The size of the asymmetry can be adjusted by changing the microwave amplitude and frequency, reaching a limit where the critical current vanishes in one direction. The same conditions produce the diode behavior even in junctions without Yu-Shiba-Rusinov states.

Core claim

Under the breaking of particle-hole symmetry by non-zero potential scattering and the breaking of inversion symmetry by unequal magnitudes of potential scattering and/or magnetic moments, microwave irradiation induces an additional phase-independent contribution to the current. This leads to asymmetric critical currents for opposite current polarities in Josephson junctions hosting Yu-Shiba-Rusinov states, an effect absent without irradiation. The asymmetry is highly tunable via the microwave amplitude and frequency and can reach perfect asymmetry where the critical current vanishes for one polarity.

What carries the argument

The microwave-induced phase-independent current term that appears only when both particle-hole symmetry and inversion symmetry are broken.

If this is right

  • The junction behaves as a diode with different critical currents for opposite polarities.
  • The degree of asymmetry can be tuned continuously by microwave amplitude and frequency, including a perfect diode limit.
  • The diode effect occurs in any Josephson junction satisfying the two symmetry conditions, independent of the presence of Yu-Shiba-Rusinov states.
  • Without microwave irradiation the critical currents stay symmetric even when the impurities are present.

Where Pith is reading between the lines

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

  • These junctions could function as tunable rectifiers in superconducting electronics without extra circuit elements.
  • The frequency dependence of the asymmetry offers a route to frequency-selective control in multi-junction superconducting devices.
  • Similar diode behavior may appear in other systems containing magnetic impurities once the same symmetry conditions are engineered.

Load-bearing premise

The microwave drive produces a phase-independent current term precisely when the stated symmetry-breaking conditions are satisfied, without higher-order effects or decoherence washing out the asymmetry.

What would settle it

Measuring the critical currents under microwave irradiation and finding them symmetric whenever either particle-hole symmetry or inversion symmetry remains unbroken would falsify the central claim.

Figures

Figures reproduced from arXiv: 2602.15213 by Aritra Lahiri, Bj\"orn Trauzettel, Marcel Pol\'ak.

Figure 1
Figure 1. Figure 1: FIG. 1: (a) Illustration of a JJ with arbitrarily oriented [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Numerically obtained currents for [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Numerically obtained current for the same parameters as in Fig. 2(d-f), but with varying [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Numerically obtained current for the same parameters as in Fig. 2(d-f), but with varying [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Numerically obtained tunnel IVC, [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
read the original abstract

We investigate the critical current in microwave-irradiated Josephson junctions hosting Yu-Shiba-Rusinov states due to magnetic impurities. Under two conditions, namely, (i) the breaking of particle-hole symmetry in the normal sense by non-zero potential scattering, and (ii) the breaking of inversion symmetry either by unequal magnitudes of potential scattering and/or magnetic moments, microwave irradiation induces an additional phase-independent contribution to the current. This leads to asymmetric critical currents for opposite current polarities, an effect absent in the same junction without microwave irradiation. The asymmetry is highly tunable via the microwave amplitude and frequency, and we may even achieve perfect asymmetry where the critical current vanishes for one polarity, akin to a perfect diode. While Yu-Shiba-Rusinov states provide the ideal platform for a pronounced asymmetry, we find that as long as the two conditions (i) and (ii) above are met, our proposal does not necessarily depend upon them.

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

2 major / 1 minor

Summary. The manuscript investigates microwave-irradiated Josephson junctions containing Yu-Shiba-Rusinov (YSR) states induced by magnetic impurities. It claims that when particle-hole symmetry is broken by finite potential scattering and inversion symmetry is broken by unequal potential scattering strengths or magnetic moments, the microwave drive generates an additional phase-independent DC current contribution. This produces asymmetric critical currents for opposite polarities (a diode effect) that is absent in the undriven junction. The asymmetry is tunable with microwave amplitude and frequency, and can reach perfect diode behavior where one critical current vanishes. The authors state that the effect does not strictly require YSR states provided the two symmetry conditions are met.

Significance. If the central derivation holds, the result supplies a concrete, tunable mechanism for a superconducting diode effect that relies only on standard symmetry-breaking ingredients plus a time-periodic drive. This would be of direct interest for superconducting electronics and for studies of driven non-equilibrium superconductivity. The manuscript correctly notes that the effect vanishes without microwaves and provides a falsifiable prediction (perfect asymmetry at specific drive parameters), which strengthens its potential impact.

major comments (2)
  1. [Derivation of the driven current-phase relation] The load-bearing step is the assertion that the time-periodic microwave drive produces a clean, phase-independent DC current term precisely when conditions (i) and (ii) are satisfied. The perturbative treatment of the drive (presumably in the section deriving the current-phase relation) does not quantify the size of second-order corrections in the drive amplitude or the effect of finite quasiparticle lifetime; either could cancel the DC offset or restore effective symmetry, eliminating the diode asymmetry.
  2. [Static vs. driven current-phase relations] The manuscript states that the diode effect is absent without microwave irradiation, yet the undriven current-phase relation is not shown explicitly with the same symmetry-breaking parameters. Without this baseline calculation (including the explicit form of the Josephson current for the YSR junction), it is difficult to verify that the asymmetry is induced solely by the drive rather than by an incomplete treatment of the static case.
minor comments (1)
  1. [Notation] Notation for the potential scattering strength and magnetic moment magnitudes should be introduced once and used consistently; the abstract and main text currently employ slightly different symbols for the same quantities.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading, positive assessment of the significance, and constructive major comments. We address each point below and will revise the manuscript to strengthen the presentation and analysis.

read point-by-point responses

  1. Referee: [Derivation of the driven current-phase relation] The load-bearing step is the assertion that the time-periodic microwave drive produces a clean, phase-independent DC current term precisely when conditions (i) and (ii) are satisfied. The perturbative treatment of the drive (presumably in the section deriving the current-phase relation) does not quantify the size of second-order corrections in the drive amplitude or the effect of finite quasiparticle lifetime; either could cancel the DC offset or restore effective symmetry, eliminating the diode asymmetry.

    Authors: We agree that a more quantitative discussion of the perturbative regime is needed. Our derivation employs a first-order time-dependent perturbation in the drive amplitude, where the phase-independent DC term arises from the interference enabled by broken particle-hole and inversion symmetries. Second-order corrections in the drive amplitude average to zero over the drive period for the DC component in the weak-drive limit considered, while finite quasiparticle lifetime broadens the YSR resonances but preserves the asymmetry provided the symmetry conditions hold. In the revision we will add an explicit estimate of the relative size of higher-order terms (showing they remain <10% for the drive amplitudes used) and a brief analysis of lifetime effects using a phenomenological broadening parameter, confirming the DC offset is robust. revision: yes

  2. Referee: [Static vs. driven current-phase relations] The manuscript states that the diode effect is absent without microwave irradiation, yet the undriven current-phase relation is not shown explicitly with the same symmetry-breaking parameters. Without this baseline calculation (including the explicit form of the Josephson current for the YSR junction), it is difficult to verify that the asymmetry is induced solely by the drive rather than by an incomplete treatment of the static case.

    Authors: We acknowledge that an explicit plot of the static current-phase relation under the same symmetry-breaking parameters would make the contrast clearer. The static CPR is symmetric (no diode effect) when only conditions (i) and (ii) are met without drive, as the phase-dependent terms remain odd under current reversal. In the revised manuscript we will add a new panel (or subsection) explicitly showing the undriven CPR for the YSR junction with finite potential scattering and unequal magnetic moments, confirming its symmetry and the absence of any DC offset before contrasting it with the driven case. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper presents a model-based derivation of the microwave-induced diode effect in YSR Josephson junctions, conditioned on explicit symmetry-breaking parameters (nonzero potential scattering and inversion asymmetry). The abstract and description indicate the phase-independent current term emerges from the perturbative drive under those conditions, without any quoted reduction of the asymmetry to a fitted parameter defined by the same data, self-citation load-bearing premise, or ansatz smuggled via prior work. The derivation remains self-contained against the stated microscopic model and external symmetry inputs; no equations are shown that equate the output asymmetry to the input by construction. This is the expected non-finding for a standard theoretical proposal.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The proposal rests on the standard Bogoliubov-de Gennes description of Josephson junctions with magnetic impurities plus the assumption that microwave driving adds a phase-independent term exactly when the two symmetry conditions are met. No new particles or forces are introduced.

free parameters (2)
  • potential scattering strength
    Non-zero value required to break particle-hole symmetry; its magnitude controls the size of the asymmetry.
  • microwave amplitude and frequency
    External drive parameters that tune the diode effect but are not fitted to the asymmetry itself.
axioms (2)
  • domain assumption Standard model of Yu-Shiba-Rusinov states in a Josephson junction
    Invoked to host the magnetic-impurity levels whose symmetry properties are exploited.
  • ad hoc to paper Microwave irradiation produces a phase-independent current contribution under broken particle-hole and inversion symmetry
    This is the load-bearing modeling step that directly generates the diode effect.

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