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arxiv: 2606.17673 · v1 · pith:W273WVK3new · submitted 2026-06-16 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Graphene Josephson diodes from inherent asymmetric disorder

Ivan Villani , Luca Chirolli , Matteo Carrega , Alessandro Crippa , Elia Strambini , Francesco Giazotto , Vaidotas Miseikis , Camilla Coletti
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Fabio Beltram Kenji Watanabe Takashi Taniguchi Stefan Heun Sergio Pezzini
This is my paper

Pith reviewed 2026-06-26 22:29 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hall
keywords grapheneJosephson junctionsupercurrent rectificationJosephson diodeasymmetric disorderFraunhofer patternsymmetry breakingsuperconducting electronics
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The pith

Graphene Josephson junctions rectify supercurrent above 20 percent efficiency due to inherent long-range disorder under small magnetic fields.

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

The paper shows that graphene Josephson junctions can act as diodes for supercurrent, achieving rectification efficiency over 20 percent when a millitesla out-of-plane magnetic field is applied. This non-reciprocal behavior emerges in highly transparent junctions because long-range scattering potentials from unavoidable asymmetric residual disorder break inversion symmetry. The rectification strengthens near the nodes of the Fraunhofer interference pattern. A reader would care because the result indicates that clean two-dimensional systems already contain enough disorder to enable such devices without additional engineering, with potential uses in superconducting electronics and as probes of symmetry breaking.

Core claim

Graphene Josephson junctions exhibit supercurrent rectification with efficiency exceeding 20 percent when a millitesla-scale out-of-plane magnetic field is applied, and the effect is enhanced near the nodes of the Fraunhofer interference pattern. The model identifies long-range scattering potentials in the junction as the mechanism that breaks inversion symmetry and produces rectification even in highly transparent junctions. Residual disorder inherent to an otherwise clean two-dimensional system is shown to be sufficient for the diode effect, and external gates can be used to tailor the symmetry breaking.

What carries the argument

Long-range scattering potentials from inherent asymmetric disorder, which break inversion symmetry to produce non-reciprocal supercurrent in highly transparent junctions.

If this is right

  • Rectification efficiency exceeds 20 percent and increases near Fraunhofer pattern nodes under millitesla magnetic fields.
  • Unavoidable residual disorder in clean two-dimensional systems suffices to generate the diode effect.
  • External gate design can tailor the inversion symmetry breaking to control the rectification.
  • The mechanism operates without requiring low transparency or deliberate interface modifications.

Where Pith is reading between the lines

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

  • Similar rectification may appear in other clean two-dimensional materials that host long-range scattering.
  • Controlled asymmetric gating could convert the effect into a tunable parameter for device design.
  • The result implies that symmetry-breaking probes in mesoscopic superconductivity can rely on native disorder rather than added complexity.

Load-bearing premise

The observed rectification arises specifically from long-range scattering potentials due to inherent asymmetric disorder rather than from interface effects, fabrication artifacts, or other sources, and the junctions remain highly transparent.

What would settle it

Measuring zero or symmetric rectification in a graphene junction where long-range potentials have been engineered to be symmetric while keeping transparency high.

Figures

Figures reproduced from arXiv: 2606.17673 by Alessandro Crippa, Camilla Coletti, Elia Strambini, Fabio Beltram, Francesco Giazotto, Ivan Villani, Kenji Watanabe, Luca Chirolli, Matteo Carrega, Sergio Pezzini, Stefan Heun, Takashi Taniguchi, Vaidotas Miseikis.

Figure 1
Figure 1. Figure 1: (a) Top view schematics of device layout. Graphene is encapsulated in hBN and edge-contacted by Nb leads. The heterostructure is placed on top of a Si/SiO2 substrate, which acts as a backgate via the application of a backgate voltage VBG. A current I is applied and flows through the junction, and the voltage drop is measured. Currents flowing in either positive (I +) or negative (I −) directions are indica… view at source ↗
Figure 2
Figure 2. Figure 2: (a) Backgate sweep: sample resistance R as a function of backgate voltage VBG, measured by applying a large DC current bias. The acquisition position of the Fraunhofer patterns in b,d,f is indicated. T = 4.2 K, B = 0 T. (b-g) Upper row: Fraunhofer patterns (voltage drop |V | as function of out-of-plane magnetic field B and DC bias current Ibias). Lower row: corresponding rectification parameter η at differ… view at source ↗
Figure 3
Figure 3. Figure 3: (a) Onsite potential V1(r) = V f1(r) for V = Vmax = 0.01 t. The spatial coordinates are in units of the lattice constant. (b) Calculated Fraunhofer patterns (I + c and |I − c |) for V = Vmax and chemical potential µ = 0.3t. (c) Color-coded evolution of the rectification coefficient η for varying V in the range −Vmax < V < Vmax, as a function of applied magnetic flux 2eΦ/h. (d) Onsite potential V2(r) = V f2… view at source ↗
Figure 4
Figure 4. Figure 4: (a) Onsite potential V1 for V = Vmax = 0.01 t. (b) Calculated Fraunhofer patterns (I + c and |I − c |) for the case of armchair edges for µ = 0.3t. (c) Color-coded evolution of the rectification coefficient η with chemical potential µ, crossing the Dirac point. (d) Graphene strip with armachair edges. (e-f) Same as b-c, but for a graphene strip with zigzag as shown in g. The rectification coefficient in Fi… view at source ↗
read the original abstract

Josephson diodes are non-reciprocal superconducting devices characterized by different switching currents depending on the current flow direction. They recently attracted considerable theoretical and experimental attention, in view of their possible application as rectifying elements in the field of superconducting electronics, and as probes to investigate symmetry breaking mechanisms in mesoscopic systems. In this work, we show that graphene Josephson junctions provide rectification of supercurrent with an efficiency exceeding 20%. The effect appears applying a mT out-of-plane magnetic field and is enhanced close to the nodes of the Fraunhofer interference pattern. Our theoretical model identifies long-range scattering potentials in the junction as the symmetry-breaking mechanism, which yields supercurrent rectification in highly transparent junctions. While graphene stands as an ultra-clean transmission medium, our work shows that unavoidable residual disorder in a clean two-dimensional system is sufficient to promote this effect. Tailoring of the inversion (mirror) symmetry breaking could be obtained via proper design of external gates.

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 / 2 minor

Summary. The manuscript reports experimental observation of supercurrent rectification in graphene Josephson junctions, achieving efficiencies exceeding 20% under small (mT) out-of-plane magnetic fields, with the effect enhanced near nodes of the Fraunhofer interference pattern. A theoretical model identifies long-range scattering potentials from inherent asymmetric disorder as the inversion-symmetry-breaking mechanism that produces the diode effect even in highly transparent junctions, demonstrating that residual disorder in an ultra-clean 2D system suffices for the phenomenon.

Significance. If the central claim holds, the work establishes a disorder-based route to Josephson diodes in graphene without requiring engineered interfaces or external gates for symmetry breaking, with direct relevance to superconducting electronics and symmetry-probing experiments. The linkage between long-range potentials, Fraunhofer-node enhancement, and high transparency, backed by simulations matching the data, provides a concrete, testable mechanism that distinguishes this from interface or fabrication artifacts.

minor comments (2)
  1. The definition of rectification efficiency (e.g., whether it is |I_c^+ - I_c^-| / (I_c^+ + I_c^-)) and the precise criteria for 'highly transparent' junctions should be stated explicitly in the main text, with reference to the measured normal-state resistance or I_c R_N product.
  2. Figure captions and the methods section would benefit from tabulated device parameters (junction length, width, mobility, and carrier density at the operating point) to allow direct comparison with the model's assumptions on disorder range and transparency.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our manuscript, the accurate summary of our central claims, and the recommendation for minor revision. We appreciate the recognition that our work demonstrates a disorder-based mechanism for the Josephson diode effect in graphene without engineered interfaces.

Circularity Check

0 steps flagged

Derivation self-contained; no circular reductions identified

full rationale

The paper presents a theoretical model that attributes supercurrent rectification to long-range scattering potentials arising from inherent asymmetric disorder in graphene Josephson junctions, with the effect enhanced near Fraunhofer nodes under mT fields. This identification is supported by simulations and experimental traces that align with the high-transparency assumption, without any quoted equation or step reducing a claimed prediction to a parameter fitted from the same dataset or to a self-citation chain. The central mechanism is derived from the disorder properties rather than defined circularly from the observed rectification efficiency, and no load-bearing uniqueness theorem or ansatz is imported from prior self-work in a way that collapses the result to its inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The claim rests on standard Josephson junction theory (Fraunhofer pattern) and the identification of long-range disorder as the symmetry breaker; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • standard math Standard Fraunhofer interference pattern governs the magnetic-field dependence of the critical current
    The enhancement near nodes is described using the conventional Fraunhofer form without derivation.

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