pith. sign in

arxiv: 2510.05730 · v1 · submitted 2025-10-07 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Signatures of superconducting Higgs mode in irradiated Josephson junctions

Aritra Lahiri , Juan Carlos Cuevas , Bj\"orn Trauzettel This is my paper

Pith reviewed 2026-05-18 09:46 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hall
keywords Higgs modeJosephson junctionsuperconductivitymicrowave irradiationcurrent-phase relationShapiro stepsAC Josephson currentHiggs mass
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The pith

Microwave irradiation of asymmetric Josephson junctions produces a sign-reversed resonant enhancement of the second harmonic in the current-phase relation that signals the Higgs mode.

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

The paper proposes detecting the superconducting Higgs mode through ordinary transport measurements on microwave-irradiated Josephson junctions that are both asymmetric and transparent. It predicts that the Higgs amplitude fluctuations cause a microwave-induced boost to the second harmonic of the equilibrium current-phase relation at zero bias, and that this boost has the opposite sign from the usual expectation without the mode. The enhancement resonates when the microwave frequency is swept across the Higgs mass. A second predicted signature is an enhancement of the second harmonic component of the AC Josephson current at finite DC voltage, visible in standard Shapiro-step analysis.

Core claim

The existence of the Higgs mode can be unambiguously revealed by standard measurements of the transport characteristics in microwave-irradiated asymmetric and transparent Josephson junctions. One signature of the Higgs mode is the microwave-induced enhancement of the second harmonic of the equilibrium current-phase relation at zero DC bias voltage, whose sign differs from its expected value in the absence of the Higgs mode. As the radiation frequency is varied, this enhancement exhibits resonant behavior when the microwave frequency is tuned across the Higgs mass. The second signature is the enhancement of the second harmonic of the AC Josephson current at finite DC voltage bias, which can 0

What carries the argument

The Higgs mode, oscillations of the superconducting order-parameter amplitude, which couples to the phase dynamics and alters the current-phase relation under microwave drive in asymmetric transparent junctions.

If this is right

  • The second harmonic of the equilibrium current-phase relation at zero bias is enhanced by microwaves with a sign opposite to the no-Higgs expectation.
  • The enhancement shows a resonance precisely when the driving frequency matches the Higgs mass.
  • The second harmonic of the AC Josephson current at finite bias is also enhanced and appears in Shapiro-step spectra.
  • Standard DC and microwave transport measurements suffice to reveal the mode without optical THz techniques.

Where Pith is reading between the lines

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

  • If confirmed, the sign-reversal feature could serve as a diagnostic to separate Higgs contributions from other non-sinusoidal terms in junction transport.
  • The resonance condition supplies a direct spectroscopic route to measure the Higgs mass using only microwave sources and DC voltage bias.
  • Varying junction asymmetry or transparency in experiment would test the range where the predicted signatures remain visible.

Load-bearing premise

The Josephson junctions are asymmetric and transparent enough that Higgs amplitude fluctuations strongly modify the usual sinusoidal current-phase relation.

What would settle it

Absence of both the predicted sign reversal in the second harmonic and the resonance when the microwave frequency crosses the Higgs mass in asymmetric transparent junctions would falsify the claim.

Figures

Figures reproduced from arXiv: 2510.05730 by Aritra Lahiri, Bj\"orn Trauzettel, Juan Carlos Cuevas.

Figure 1
Figure 1. Figure 1: FIG. 1: Illustration of the JJ, with two leads of length [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: (a) Numerically obtained first Floquet harmonic of the OP modulation in the left lead at the junction, [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: (a–d) Numerically obtained CPR ( [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Numerically obtained current harmonics without radiation, in a system with [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Numerically calculated Shapiro step height [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: (a) Same as Fig. 5(c) (including the parameters, except for [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
read the original abstract

The Higgs mode, originally proposed in the context of superconductivity, corresponds to oscillations of the amplitude of the superconducting order parameter. Recent THz-domain optical studies have found signatures consistent with the Higgs mode, but its unambiguous detection is still challenging. We predict that the existence of the Higgs mode can be unambiguously revealed by standard measurements of the transport characteristics in microwave-irradiated asymmetric and transparent Josephson junctions. One signature of the Higgs mode in a Josephson junction is the microwave-induced enhancement of the second harmonic of the equilibrium current-phase relation (at zero DC bias voltage), whose sign differs from its expected value in the absence of the Higgs mode. As the radiation frequency is varied, this enhancement exhibits resonant behavior when the microwave frequency is tuned across the Higgs mass. The second signature that we propose is the enhancement of the second harmonic of the AC Josephson current at finite DC voltage bias, which can be probed in a customary analysis of the Shapiro steps in a microwave-irradiated junction.

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 / 2 minor

Summary. The manuscript proposes two transport-based signatures for detecting the superconducting Higgs mode in microwave-irradiated Josephson junctions that are both asymmetric and sufficiently transparent. The primary signature is a microwave-induced enhancement of the second harmonic of the equilibrium current-phase relation (CPR) at zero DC bias, whose sign is opposite to the conventional (phase-only) expectation and which exhibits resonant behavior when the drive frequency is tuned across the Higgs mass. The secondary signature is an enhancement of the second harmonic of the AC Josephson current at finite DC bias, detectable via analysis of Shapiro steps.

Significance. If the derivations are robust, the work offers a concrete, falsifiable route to unambiguous Higgs-mode detection using standard microwave transport measurements on Josephson junctions rather than THz optics. The resonant enhancement tied directly to the Higgs mass and the sign-reversal criterion constitute clear experimental targets. The approach correctly identifies the necessity of amplitude-phase coupling beyond the tunnel limit.

major comments (2)
  1. [Model assumptions and derivation of the CPR (near Eq. for the current expression)] The central predictions for sign reversal and resonance in the second-harmonic CPR term hold only inside a specific window of junction transparency and asymmetry. The manuscript does not quantify the boundaries of this window (e.g., the minimum transparency or asymmetry ratio at which the amplitude-fluctuation contribution overtakes the conventional term), which is load-bearing for the claim that the signatures provide unambiguous detection.
  2. [Section deriving the driven CPR and resonance condition] The resonance condition when the microwave frequency crosses the Higgs mass is obtained after expanding the current to include amplitude-phase coupling. It is unclear whether this resonance survives when the full self-consistent dynamics (including possible damping or higher-order nonlinearities) are retained; an explicit check against the phase-only limit should be shown to confirm the sign difference is not an artifact of truncation.
minor comments (2)
  1. [Abstract and introduction] The abstract and introduction should explicitly state the range of junction parameters (transparency, asymmetry) for which the predicted effects are expected to be observable, to guide experimentalists.
  2. [Throughout the results sections] Notation for the Higgs mass and the second-harmonic amplitudes should be unified between the equilibrium CPR and the AC current sections to avoid reader confusion.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment of our work and for the constructive major comments. We address each point below and will revise the manuscript to strengthen the presentation of the parameter regime and the robustness of the resonance.

read point-by-point responses

  1. Referee: [Model assumptions and derivation of the CPR (near Eq. for the current expression)] The central predictions for sign reversal and resonance in the second-harmonic CPR term hold only inside a specific window of junction transparency and asymmetry. The manuscript does not quantify the boundaries of this window (e.g., the minimum transparency or asymmetry ratio at which the amplitude-fluctuation contribution overtakes the conventional term), which is load-bearing for the claim that the signatures provide unambiguous detection.

    Authors: We agree that an explicit quantification of the validity window is necessary for the experimental utility of the proposed signatures. In the revised manuscript we will add a dedicated subsection (or appendix) that maps the second-harmonic coefficient versus transparency and asymmetry ratio. Numerical evaluation of the current expression will be used to report concrete thresholds (e.g., minimum transparency and minimum asymmetry ratio) above which the amplitude-fluctuation term produces the predicted sign reversal and resonant enhancement. revision: yes

  2. Referee: [Section deriving the driven CPR and resonance condition] The resonance condition when the microwave frequency crosses the Higgs mass is obtained after expanding the current to include amplitude-phase coupling. It is unclear whether this resonance survives when the full self-consistent dynamics (including possible damping or higher-order nonlinearities) are retained; an explicit check against the phase-only limit should be shown to confirm the sign difference is not an artifact of truncation.

    Authors: We acknowledge the importance of verifying robustness beyond the perturbative truncation. In the revision we will include an explicit comparison of the driven dynamics with and without amplitude fluctuations, incorporating a phenomenological damping term in the amplitude equation. The added analysis shows that both the resonant enhancement at the Higgs frequency and the opposite sign of the second-harmonic term survive moderate damping. In the strict phase-only limit the conventional (positive) sign is recovered, confirming that the sign reversal originates from amplitude-phase coupling rather than truncation artifacts. Higher-order nonlinearities lie outside the present perturbative regime and will be noted as a topic for future study. revision: yes

Circularity Check

0 steps flagged

No circularity: predictions follow from explicit model assumptions on junction parameters

full rationale

The derivation starts from the standard description of a Josephson junction and augments it with amplitude-phase coupling terms that appear only when the junction is taken to be both asymmetric and sufficiently transparent. These are stated model choices, not definitions that presuppose the target signatures. The sign reversal and resonance in the second harmonic then emerge directly from the expanded current expression when the drive frequency crosses the Higgs mass; the result is falsifiable by varying transparency or asymmetry, and no fitted parameters or self-referential definitions are required. The abstract and skeptic summary contain no load-bearing self-citations or renamings that reduce the central claim to its inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The central claim rests on standard Josephson-junction theory plus an extension that incorporates amplitude fluctuations of the order parameter. No free parameters, new axioms, or invented entities are mentioned in the abstract.

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Reference graph

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