Emergent Network of Josephson Junctions in a Kagome Superconductor
Pith reviewed 2026-05-18 08:03 UTC · model grok-4.3
The pith
Critical current oscillations in CsV3Sb5 flakes arise from an intrinsic network of Josephson junctions that forms below the critical temperature.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The origin of these oscillations is a network of Josephson junctions intrinsic to the flake that emerges below its critical temperature. Under radio-frequency radiation, quantized Shapiro steps are observed. The sensitivity of the step height to the contact placement indicates a complex network of junctions. By performing interference studies along multiple field directions, the interference effects are shown to result from small junctions and filamentary supercurrent flow. Upon nanostructuring the flake, prominent features of the interference pattern are preserved, illustrating the localized nature of these junctions and their stability to thermal cycles.
What carries the argument
Emergent network of Josephson junctions intrinsic to the flake
If this is right
- Quantized Shapiro steps appear under radio-frequency radiation.
- The height of those steps varies with contact placement, revealing a complex network.
- Interference patterns match expectations for small junctions and filamentary supercurrent flow.
- Main features of the pattern remain after nanostructuring and thermal cycling.
- The setup supplies a route to probe the nature of superconductivity in the AV3Sb5 family.
Where Pith is reading between the lines
- The localized junctions could be used to create functional Josephson elements directly inside these flakes without added patterning steps.
- Filamentary flow through the network may interact with the topological bands known to exist in kagome lattices.
- The same emergent junctions are likely to appear in other members of the AV3Sb5 family.
Load-bearing premise
The observed critical current oscillations and Shapiro steps arise exclusively from Josephson junctions rather than alternative mechanisms such as vortex dynamics or geometric effects in the flake geometry.
What would settle it
Absence of quantized Shapiro steps under applied radio-frequency radiation, or persistence of the oscillations when the sample is warmed above its critical temperature.
Figures
read the original abstract
Materials with a Kagome lattice are intensely studied because they host exotic states that combine strong correlations and topology. Recently, critical current oscillations were observed in an unstructured flake of CsV3Sb5 . In this work, we show that the origin of these oscillations is a network of Josephson junctions intrinsic to the flake that emerges below its critical temperature. Under radio-frequency radiation, we observe quantized Shapiro steps. The sensitivity of the step height to the contact placement indicates a complex network of junctions. By performing interference studies along multiple field directions, we demonstrate that the interference effects are a result of small junctions and filamentary supercurrent flow. Upon nanostructuring the flake, prominent features of the interference pattern are preserved, illustrating the localized nature of these junctions and their stability to thermal cycles. These results pave the way for determining the exact nature of superconductivity in the AV3Sb5 family.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports experimental observations of critical current oscillations in unstructured flakes of the kagome superconductor CsV3Sb5. The authors interpret these as arising from an emergent intrinsic network of Josephson junctions that forms below the critical temperature. Supporting data include quantized Shapiro steps under RF radiation whose heights depend on contact placement, multi-directional magnetic field interference patterns indicating small junctions and filamentary supercurrent paths, and preservation of key interference features after nanostructuring the flake.
Significance. If the interpretation is correct, the result is significant for the study of superconductivity in the AV3Sb5 family, as it identifies a natural mechanism for realizing Josephson junction networks in these correlated kagome materials without artificial fabrication. The work is strengthened by multiple consistent experimental signatures (Shapiro steps, contact sensitivity, multi-axis interference, and post-nanostructuring stability) that provide a reproducible basis for the claim and could enable new probes of exotic states or device applications.
major comments (1)
- [Interference studies section] Interference studies section: The central claim requires that the critical current oscillations and multi-directional interference arise exclusively from the emergent JJ network rather than vortex dynamics, pinning, or geometric current-path effects in the flake. No quantitative modeling, simulation, or control experiment is presented that compares the observed oscillation periods or pattern symmetries against predictions from these alternatives, leaving the exclusivity of the JJ interpretation as a load-bearing but untested element.
minor comments (2)
- [Abstract] Abstract: The statement that 'prominent features of the interference pattern are preserved' after nanostructuring would benefit from specifying which features (e.g., period, amplitude, or specific lobes) and providing quantitative metrics such as percentage retention or field-range overlap.
- [Experimental methods] Methods or experimental details: The RF radiation frequency, power range, and temperature at which Shapiro steps were measured should be stated explicitly to facilitate reproduction and comparison with standard JJ behavior.
Simulated Author's Rebuttal
We thank the referee for the positive assessment of our work and the constructive feedback. We address the major comment below and outline the revisions we will make.
read point-by-point responses
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Referee: [Interference studies section] Interference studies section: The central claim requires that the critical current oscillations and multi-directional interference arise exclusively from the emergent JJ network rather than vortex dynamics, pinning, or geometric current-path effects in the flake. No quantitative modeling, simulation, or control experiment is presented that compares the observed oscillation periods or pattern symmetries against predictions from these alternatives, leaving the exclusivity of the JJ interpretation as a load-bearing but untested element.
Authors: We agree that a direct quantitative comparison to alternative models would strengthen the exclusivity of the JJ-network interpretation. However, several of our observations are inconsistent with vortex dynamics, pinning, or purely geometric current-path effects. Quantized Shapiro steps under RF drive are a direct manifestation of the AC Josephson effect and are not expected from vortex motion in a uniform film. The strong dependence of step height on contact placement further indicates a spatially distributed network rather than a single geometric constriction. Finally, the multi-directional interference patterns remain after the flake is nanostructured, which would be expected to alter large-scale current paths or pinning landscapes but leaves localized junctions intact. We will add a dedicated paragraph in the discussion section that explicitly contrasts these signatures with the expected behavior under vortex or geometric scenarios, thereby clarifying why the JJ-network picture is the most consistent with the full data set. Full micromagnetic simulations lie outside the scope of the present experimental study. revision: partial
Circularity Check
No significant circularity: purely experimental observations with no derivations or self-referential modeling
full rationale
The paper reports direct experimental measurements on CsV3Sb5 flakes, including critical current oscillations, Shapiro steps under RF radiation, multi-directional interference, and preservation of features after nanostructuring. No equations, fitted parameters, predictions, or derivations are present that could reduce to inputs by construction. Claims rest on observed data and control experiments rather than any self-definitional, fitted-input, or self-citation load-bearing steps. This is a standard experimental study self-contained against external benchmarks, warranting a score of 0.
Axiom & Free-Parameter Ledger
axioms (2)
- standard math Quantized Shapiro steps under RF radiation indicate Josephson junction behavior
- domain assumption Interference patterns along multiple field directions reflect filamentary supercurrent through small junctions
Lean theorems connected to this paper
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IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The origin of these oscillations is a network of Josephson junctions intrinsic to the flake
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Forward citations
Cited by 1 Pith paper
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Nonintegral Flux Trapping in Frustrated Josephson Networks of Triplet Superconductors
Anisotropic Josephson couplings in triplet superconductor networks produce frustrated d-vector textures that trap nonintegral flux, including pi-flux above a critical antisymmetric coupling strength.
Reference graph
Works this paper leans on
-
[1]
Wang, Q., Lei, H., Qi, Y. & Felser, C. Topological Quantum Materials with Kagome Lattice. Acc. Mater. Res. 5, 786–796 (2024)
work page 2024
-
[2]
Wang, Y., Wu, H., McCandless, G. T., Chan, J. Y. & Ali, M. N. Quantum states and intertwining phases in kagome materials. Nat. Rev. Phys. 5, 635–658 (2023)
work page 2023
-
[3]
Norman, M. R. Colloquium: Herbertsmithite and the search for the quantum spin liquid. Rev. Mod. Phys. 88, 041002 (2016)
work page 2016
-
[4]
Yang, H. et al. Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn. New J. Phys. 19, 015008 (2017)
work page 2017
-
[5]
Ye, L. et al. Massive Dirac fermions in a ferromagnetic kagome metal. Nature 555, 638–642 (2018)
work page 2018
-
[6]
Yin, J.-X. et al. Quantum-limit Chern topological magnetism in TbMn6Sn6. Nature 583, 533–536 (2020)
work page 2020
-
[7]
Jiang, Y.-X. et al. Unconventional chiral charge order in kagome superconductor KV3Sb5. Nat. Mater. 20, 1353–1357 (2021)
work page 2021
-
[8]
Guo, C. et al. Switchable chiral transport in charge-ordered kagome metal CsV3Sb5. Nature 611, 461– 466 (2022)
work page 2022
-
[9]
Li, H. et al. Rotation symmetry breaking in the normal state of a kagome superconductor KV3Sb5. Nat. Phys. 18, 265–270 (2022)
work page 2022
-
[10]
Oey, Y. M. et al. Fermi level tuning and double-dome superconductivity in the kagome metal CsV3Sb5-xSnx. Phys. Rev. Mater. 6, L041801 (2022)
work page 2022
-
[11]
Kang, M. et al. Charge order landscape and competition with superconductivity in kagome metals. Nat. Mater. 22, 186–193 (2023)
work page 2023
-
[12]
Zhang, W. et al. Nodeless Superconductivity in Kagome Metal CsV3Sb5 with and without Time Reversal Symmetry Breaking. Nano Lett. 23, 872–879 (2023)
work page 2023
-
[13]
Guguchia, Z. et al. Tunable unconventional kagome superconductivity in charge ordered RbV3Sb5 and KV3Sb5. Nat. Commun. 14, 153 (2023)
work page 2023
-
[14]
Wilson, S. D. & Ortiz, B. R. AV3Sb5 kagome superconduc tors. Nat. Rev. Mater. 9, 420–432 (2024)
work page 2024
-
[15]
Graham, J. N. et al. Depth-dependent study of time-reversal symmetry-breaking in the kagome superconductor AV3Sb5. Nat. Commun. 15, 8978 (2024)
work page 2024
-
[16]
Xiang, Y. et al. Twofold symmetry of c-axis resistivity in topological kagome superconductor CsV3Sb5 with in-plane rotating magnetic field. Nat. Commun. 12, 6727 (2021)
work page 2021
-
[17]
Nie, L. et al. Charge-density-wave-driven electronic nematicity in a kagome superconductor. Nature 604, 59–64 (2022)
work page 2022
-
[18]
Xu, Y. et al. Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors. Nat. Phys. 18, 1470–1475 (2022)
work page 2022
-
[19]
Xing, Y. et al. Optical manipulation of the charge-density-wave state in RbV3Sb5. Nature 631, 60– 66 (2024)
work page 2024
-
[20]
Guo, C. et al. Correlated order at the tipping point in the kagome metal CsV3Sb5. Nat. Phys. 20, 579–584 (2024)
work page 2024
-
[21]
Elmers, H. J. et al. Chirality in the Kagome Metal ${\mathrm{CsV}}_{3}{\mathrm{Sb}}_{5}$. Phys. Rev. Lett. 134, 096401 (2025)
work page 2025
- [22]
-
[23]
Le, T. et al. Superconducting diode effect and interference patterns in kagome CsV3Sb5. Nature 630, 64–69 (2024)
work page 2024
-
[24]
Deng, Q. et al. Coherent phonon pairs and rotational symmetry breaking of charge density wave order in the kagome superconductor ${\mathrm{CsV}}_{3}{\mathrm{Sb}}_{5}$. Phys. Rev. B 112, 125127 (2025)
work page 2025
-
[25]
Chiodi, F. et al. Geometry-related magnetic interference patterns in long $SNS$ Josephson junctions. Phys. Rev. B 86, 064510 (2012)
work page 2012
-
[26]
Chen, X., Poortvliet, M., Van Der Molen, S. J. & De Dood, M. J . A. Interface shape dependent interference patterns of NbSe 2 heterostructure Josephson junctions. Phys. Rev. B 107, 094522 (2023)
work page 2023
-
[27]
Yasui, Y. et al. Spontaneous emergence of Josephson junctions in homogeneous rings of single- crystal Sr2RuO4. Npj Quantum Mater. 5, 21 (2020)
work page 2020
-
[28]
Kleiner, R. & Müller, P. Intrinsic Josephson effects in h igh-${\mathit{T}}_{\mathit{c}}$ superconductors. Phys. Rev. B 49, 1327–1341 (1994)
work page 1994
-
[29]
Moll, P. J. W., Zhu, X., Cheng, P., Wen, H.-H. & Batlogg, B. Intri nsic Josephson junctions in the iron-based multi-band superconductor (V2Sr4O6)Fe2As2. Nat. Phys. 10, 644–647 (2014)
work page 2014
-
[30]
Charikova, T. B. et al. Intrinsic Josephson junction characteristics of Nd2-xCexCuO4 /SrTiO3 epitaxial films. Solid State Commun. 394, 115723 (2024)
work page 2024
-
[31]
Brown, S. E., Mozurkewich, G. & Grüner, G. Subharmonic Sha piro Steps and Devil’s-Staircase Behavior in Driven Charge-Density-Wave Systems. Phys. Rev. Lett. 52, 2277–2280 (1984)
work page 1984
-
[32]
The dynamics of charge-density waves
Grüner, G. The dynamics of charge-density waves. Rev. Mod. Phys. 60, 1129–1181 (1988)
work page 1988
-
[33]
Gabovich, A. M. & Voitenko, A. I. Superconductors with cha rge- and spin-density waves: theory and experiment (Review). Low Temp. Phys. 26, 305–330 (2000)
work page 2000
-
[34]
Funami, Y. & Aoyama, K. Fractal and subharmonic respon ses driven by surface acoustic waves during charge density wave sliding. Phys. Rev. B 108, L100508 (2023)
work page 2023
-
[35]
Mori, M. & Maekawa, S. Shapiro steps in charge-densi ty-wave states driven by ultrasound. Appl. Phys. Lett. 122, 042202 (2023)
work page 2023
-
[36]
Gabovich, A. M. & Voitenko, A. I. Josephson tunnelling invo lving superconductors with charge- density waves. J. Phys. Condens. Matter 9, 3901 (1997)
work page 1997
-
[37]
Visscher, M. I. & Rejaei, B. Josephson Current through Charge Density Waves. Phys. Rev. Lett. 79, 4461–4464 (1997)
work page 1997
-
[38]
Tran, S., Sell, J. & Williams, J. R. Dynamical Josephs on effects in NbSe2. Phys. Rev. Res. 2, 043204 (2020)
work page 2020
-
[39]
Kautzsch, L. et al. Incommensurate charge-stripe correlations in the kagome superconductor CsV3Sb5−xSnx. Npj Quantum Mater. 8, 37 (2023)
work page 2023
-
[40]
Sivakov, A. G. et al. Josephson Behavior of Phase-Slip Lines in Wide Superconducting Strips. Phys. Rev. Lett. 91, 267001 (2003)
work page 2003
-
[41]
Paradiso, N., Nguyen, A.-T., Enzo Kloss, K. & Strunk, C . Phase slip lines in superconducting few- layer NbSe2 crystals. 2D Mater. 6, 025039 (2019)
work page 2019
-
[42]
Askerzade, I. N. Effects of anharmonicity of current-phas e relation in Josephson junctions (Review Article). Low Temp. Phys. 41, 241–259 (2015)
work page 2015
-
[43]
Raes, B. et al. Fractional Shapiro steps in resistively shunted Josephson junctions as a fingerprint of a skewed current-phase relationship. Phys. Rev. B 102, 054507 (2020)
work page 2020
-
[44]
Panghotra, R. et al. Giant fractional Shapiro steps in anisotropic Josephson junction arrays. Commun. Phys. 3, 53 (2020)
work page 2020
-
[45]
Wang, Y. et al. Anisotropic proximity–induced superconductivity and edge supercurrent in Kagome metal, K 1− x V3 Sb5. Sci. Adv. 9, eadg7269 (2023)
work page 2023
-
[46]
Fermin, R., De Wit, B. & Aarts, J. Beyond the effective l ength: How to analyze magnetic interference patterns of thin-film planar Josephson junctions with finite lateral dimensions. Phys. Rev. B 107, 064502 (2023)
work page 2023
-
[47]
José Martínez-Pérez, M. & Koelle, D. NanoSQUIDs: Bas ics & recent advances. Phys. Sci. Rev. 2, (2017)
work page 2017
-
[48]
Wang, W. et al. Evidence for an edge supercurrent in the Weyl superconductor MoTe2. Science 368, 534–537 (2020)
work page 2020
-
[49]
Le, T. et al. Thermomodulated Intrinsic Josephson Effect in Kagome CsV 3 Sb 5. Phys. Rev. Lett. 135, 096002 (2025)
work page 2025
-
[50]
Lou, H.-X. et al. Radio-Frequency Quantum Rectification in Kagome Superconductor CsV3Sb5. Methods Growth of crystals Single crystals of CsV3Sb5-xSnx, x ~ 0.03-0.04 were synthesized by the flux growth method. Elemental Cs (Alfa 99.98 %), V powder (Sigma 99.9 %), Sb shot (Alfa 99.999 %), and Sn shot (99.999 %) were weighed out in a 20:15:117.5:10.9 ratio un...
discussion (0)
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