REVIEW 3 major objections 4 minor 40 references
Low-field all-optical detection of superconductivity using NV nanodiamonds
T0 review · 3 major / 4 minor · reviewed 2026-08-04 · deepseek-v4-flash
Pith's one-line read A microwave-free, all-optical method using NV nanodiamonds measures the superconducting transition temperature and magnetic-field penetration of a YBCO thin film.
desk verdict A clean and honest Tc demo with a soft, uncalibrated penetration-field claim; worth refereeing as a methods paper after calibration or reframing. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The central mechanism is near-zero-field cross-relaxation magnetometry with NV centers. Near zero magnetic field, the NV spin sublevels are degenerate, and resonant dipolar coupling with paramagnetic impurities leads to efficient energy exchange that enhances spin-lattice relaxation, producing a fluorescence dip as a function of applied field. The position and shape of this cross-relaxation feature depend on the local magnetic field. Here, a square-wave modulated 1 mT field is applied, and lock-in detection of the fluorescence reveals the Meissner response; sweeping the field and monitoring the fluorescence shape identifies the penetration field and its temperature dependence. The 'salt-and-
What would settle it
A decisive control experiment would be to perform identical field sweeps on bare nanodiamonds (no superconductor) and compare the fluorescence signatures. If the field-dependent features observed on YBCO at low temperatures appear only in the presence of the superconductor, and if they shift with temperature in a manner consistent with known Hc1 values (as measured by an independent method like SQUID magnetometry), the central claim would be supported. Conversely, if bare nanodiamonds show similar temperature-dependent features, the assignment of the fluorescence change to vortex penetration w
Extended reading notes
Core claim
The central claim is that the near-zero-field cross-relaxation feature of NV centers in nanodiamonds can be used as a microwave-free, all-optical magnetometer to detect the Meissner effect and measure critical parameters of a high-temperature superconductor. Specifically, the authors show that the transition temperature of YBCO can be identified by a sharp drop in a lock-in-detected fluorescence signal under a 1 mT modulated field, and that field sweeps reveal a clear penetration threshold—a change in the cross-relaxation feature shape—that moves to higher fields at lower temperatures. Edge measurements show a reduced penetration field due to flux focusing, and hysteresis between forward and
Load-bearing premise
The interpretation of the observed fluorescence changes as magnetic-flux penetration relies on an uncalibrated mapping between fluorescence and local field; if that mapping is wrong or the changes have a non-magnetic origin (e.g., temperature or strain effects), the penetration-field measurements would be misleading.
Editorial extensions
If this is right
- If the method is correct, it offers a practical microwave-free way to measure Tc and lower critical field of superconductors, especially for samples with rough surfaces or where microwave radiation is intrusive.
- The widefield readout implies a path to spatially mapping superconducting properties, such as Tc and penetration field, across a film surface without scanning.
- The observed edge enhancement and hysteresis indicate sensitivity to flux-focusing and vortex pinning, which could be used to study vortex dynamics and pinning landscapes.
- Because the method is all-optical and requires no microwave components, it may be simpler to implement in cryogenic or high-field environments.
- Future refinement with confocal microscopy could probe local variations with sub-micron resolution, complementing the average properties measured here.
Reading between the lines
- A natural extension is to use this technique to map the spatial distribution of the penetration field across a superconductor, revealing inhomogeneities in screening currents or defect density—something the paper only hints at.
- The uncalibrated relationship between fluorescence change and absolute vortex density means the method is currently more qualitative than quantitative; with a calibration against an independent magnetometry technique, it could yield absolute penetration fields and perhaps vortex densities.
- The same cross-relaxation approach could be applied to other quantum materials, such as topological superconductors or thin-film heterostructures, where microwave-free local probing is advantageous.
- The temperature-dependent contrast of the cross-relaxation feature itself could be exploited as a built-in thermometer, potentially enabling simultaneous thermometry and magnetometry with the same nanodiamonds.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports a microwave-free, all-optical method for probing superconductivity using NV centers in nanodiamonds. The authors characterize the temperature dependence of the near-zero-field cross-relaxation feature, then use a modulated 1 mT field and lock-in detection to observe a drop in fluorescence modulation when a YBCO thin film enters the superconducting state; the derivative of this signal is fit with a double Gaussian to yield transition temperatures of 87.5 and 88.2 K. They also record fluorescence vs field at the center and edge of the film at several temperatures, interpreting the onset of a >1% fluorescence increase as the penetration field (e.g., 3.64 +/- 0.04 mT at 83 K at the center) and interpreting forward/backward hysteresis as vortex pinning. The paper claims quantitative measurement of Tc and penetration field and suggests widefield imaging applications.
Significance. If fully supported, the method would be a useful complement to existing NV-based superconductor magnetometry because it avoids microwaves and works on rough surfaces, and the widefield readout could potentially map superconducting parameters. The Tc detection is plausible, and the qualitative Meissner/vortex signatures are interesting. However, the quantitative penetration-field component - one of the two central parameters claimed in the abstract - is not calibrated, and the authors' own stated limitations directly bear on that claim. The significance is therefore conditional on either providing calibration or softening the quantitative claims.
major comments (3)
- [§III.C, Figs. 4–5] The identification of the 'penetration field' is not calibrated. The text first states that the penetration field is identified 'from the point at which the cross-relaxation feature in the fluorescence response changed shape,' but the quantitative value at 83 K is defined by 'a >1% increase in fluorescence.' These are different criteria, and no algorithm or independent verification is given for either. The PL signal is a nonlinear, temperature-dependent convolution of the cross-relaxation response (Fig. 2) with the spatially varying local field, and the 120 µm ROI averages over ND height variations, agglomeration, and inhomogeneous screening currents. The manuscript itself concedes in §III.C that 'An exact quantitative determination of the local field amplification below Tc requires proper calibration... including reference measurements on bare NDs.' Without such a calibration, the repor
- [§III.C, 'Present limitations'] The assumption that the penetration field equals Hc1 for a 5 mm × 5 mm × 200 nm film is not justified. For a thin film with aspect ratio L/d = 25000, demagnetizing and edge effects make the first vortex-entry field geometry-dependent and generally different from the bulk Hc1. The edge data themselves show flux-related fluorescence changes near 0.5 mT at 83 K while the center shows onset near 3.64 mT, demonstrating that geometry strongly affects the observed onset. The paper states that 'geometric effects are neglected' and that the reported penetration field is an average over a large ROI; these limitations directly affect the central quantitative claim. The authors should either model the field distribution for the square platelet or explicitly restrict the claim to 'onset field for an observable fluorescence change' rather than Hc1.
- [§III.C, Fig. 5 and accompanying text] The edge measurements are interpreted as evidence of 'field enhancement' and 'flux focusing,' but the fluorescence change is never converted to a local magnetic-field value, and the comparison with literature is only qualitative. Given that the central novelty is supposed to be a quantitative measurement of critical parameters, the edge analysis needs at least a modeled relationship between the measured PL and the local field amplification, or a clear statement that this part of the study is qualitative. As written, the claim of 'strong evidence for both field enhancement and vortex pinning' is not supported by a quantitative argument.
minor comments (4)
- [Abstract and §III.B] The abstract says 'magnetic field variation with 1mT amplitude,' but the field-sweep experiments extend to 6.5 mT. Please clarify which measurement the abstract describes.
- [§III.B, Fig. 3] The double-Gaussian fit to the smoothed derivative is underdocumented: no fit function is shown in the text, no residuals or uncertainties are given, and the statement 'both values fall within the transition temperature range (87.5K) specified by the manufacturer' is ambiguous because 88.2 K is not within 87.5 K unless a tolerance is intended.
- [§II, Eq. (1)] The text says z0 is between λ_ab and Pearl length Λ, but for d=200 nm and λ_ab≈150 nm, Λ = 2λ²/d ≈ 225 nm, which is close to λ_ab. The stated range z0≈200–400 nm is plausible but the justification based on 'between λ_ab and Pearl length' should be more explicit, since Λ is not an order of magnitude larger than λ_ab.
- [§III.C] The phrase 'the penetration field was identified from the point at which the cross-relaxation feature in the fluorescence response changed shape' is not consistent with the '>1% increase' criterion. Please define the extraction criterion precisely and apply it uniformly.
Circularity Check
No significant circularity: the reported Tc and penetration-field values are read out from raw fluorescence/lock-in signals, not derived from the claimed outputs or from fits to them.
full rationale
The paper's central measurements are not circular in the derivational sense. Tc is extracted from the temperature dependence of the lock-in output during cooling (Fig. 3), where the sharp drop is a direct observable and the double-Gaussian fit only locates the transition; the result is compared with the manufacturer-specified Tc. The penetration field is operationally identified as the field at which the fluorescence vs. field response shows a >1% change (e.g., 3.64 mT at 83 K), which is an empirical threshold on the measured PL(B) traces rather than a quantity defined by construction from the claimed Hc1. The cross-relaxation method is imported from prior work by the same group [23-25], and the paper also characterizes the cross-relaxation feature in-house on cover-glass NDs (Fig. 2); the self-citations establish the sensing mechanism, not the superconductor-specific result, and that mechanism is externally falsifiable. The most serious limitation, explicitly acknowledged in the 'Present limitations' paragraph, is that the mapping from fluorescence change to flux penetration is uncalibrated and geometric effects are neglected. That is a correctness/validity risk, not a circularity: the observable is not defined in terms of the target quantity, and no fitted parameter is renamed as a prediction. No Eq. X = Eq. Y reduction by construction, and no load-bearing self-citation chain, is present. Score 0 is therefore appropriate.
Assumptions & free parameters
free parameters (2)
- Penetration field onset threshold (>1% fluorescence increase) =
3.64 +/- 0.04 mT at 83 K (center)
- Effective vortex depth z0 =
200-400 nm (estimated)
assumptions (3)
- domain assumption Cross-relaxation feature in NV-ND ensembles responds to local magnetic field and spin environment near zero field.
- domain assumption The fluorescence signal averaged over a 120x120 um ROI reflects the local field at the superconducting film surface.
- domain assumption The observed hysteresis between forward and backward sweeps below Tc is attributed to vortex pinning.
Cite this review
Pith. "Pith review of Low-field all-optical detection of superconductivity using NV nanodiamonds." pith.science (2026). https://pith.science/paper/ZBHV7E4M
@misc{pith2026251011920,
author = {Pith},
title = {Pith review of: Low-field all-optical detection of superconductivity using NV nanodiamonds},
year = {2026},
howpublished = {\url{https://pith.science/paper/ZBHV7E4M}},
note = {Machine review of arXiv:2510.11920}
}
read the original abstract
Nitrogen-vacancy centers in nanodiamond offer a microwave-free, noninvasive platform for probing superconductors via near zero-field cross-relaxation magnetometry. We demonstrate this by depositing nanodiamonds on YBCO thin films to measure critical parameters: transition temperature and penetration field. This method leverages nanodiamond fluorescence modulation as a result of magnetic field variation with 1mT amplitude to observe the Meissner effect and field scans to measure the penetration field. The approach is minimally invasive and can be applied to superconducting samples with rough surfaces, facilitating the study of flux vortices and critical phenomena in complex geometries.
Figures
Figures from the paper (2 more)
Reference graph
Works this paper leans on
-
[1]
Rovny, S
J. Rovny, S. Gopalakrishnan, A. C. B. Jayich, P. Maletinsky, E. Demler, and N. P. de Leon, Nanoscale diamond quantum sensors for many-body physics, Nat Rev Phys6, 753 (2024), publisher: Nature Publishing Group
2024
-
[2]
D. V. Christensen, U. Staub, T. R. Devidas, B. Kalisky, K. C. Nowack, J. L. Webb, U. L. Andersen, A. Huck, D. A. Broadway, K. Wagner, P. Maletinsky, T. v. d. Sar, C. R. Du, A. Yacoby, D. Collomb, S. Bending, A. Oral, H. J. Hug, A.-O. Mandru, V. Neu, H. W. Schumacher, S. Sievers, H. Saito, A. A. Khajetoorians, N. Haupt- mann, S. Baumann, A. Eichler, C. L. ...
2024
-
[3]
Bhattacharyya, W
P. Bhattacharyya, W. Chen, X. Huang, S. Chatter- jee, B. Huang, B. Kobrin, Y. Lyu, T. J. Smart, M. Block, E. Wang, Z. Wang, W. Wu, S. Hsieh, H. Ma, S. Mandyam, B. Chen, E. Davis, Z. M. Geballe, C. Zu, V. Struzhkin, R. Jeanloz, J. E. Moore, T. Cui, G. Galli, B. I. Halperin, C. R. Laumann, and N. Y. Yao, Imag- ing the meissner effect in hydride superconduct...
2024
-
[4]
K. Y. Yip, K. O. Ho, K. Y. Yu, Y. Chen, W. Zhang, S. Kasahara, Y. Mizukami, T. Shibauchi, Y. Matsuda, S. K. Goh, and S. Yang, Measuring magnetic field tex- ture in correlated electron systems under extreme con- ditions, Science366, 1355 (2024), publisher: American Association for the Advancement of Science
2024
-
[5]
Bouchard, V
L.-S. Bouchard, V. M. Acosta, E. Bauch, and D. Budker, Detection of the meissner effect with a diamond magne- tometer, New J. Phys.13, 025017 (2011)
2011
-
[6]
Joshi, N
K. Joshi, N. Nusran, M. Tanatar, K. Cho, W. Meier, S. Bud’ko, P. Canfield, and R. Prozorov, Measuring the lower critical field of superconductors using nitrogen- vacancy centers in diamond optical magnetometry, Phys. Rev.Appl.11,014035(2019),publisher: AmericanPhys- ical Society
2019
-
[7]
V. M. Acosta, L. S. Bouchard, D. Budker, R. Folman, T. Lenz, P. Maletinsky, D. Rohner, Y. Schlussel, and L. Thiel, Color centers in diamond as novel probes of superconductivity, J Supercond Nov Magn32, 85 (2019)
2019
-
[8]
N. M. Nusran, K. R. Joshi, K. Cho, M. A. Tanatar, W. R. Meier, S. L. Bud’ko, P. C. Canfield, Y. Liu, T. A. Lo- grasso, and R. Prozorov, Spatially-resolved study of the meissner effect in superconductors using NV-centers-in- diamond optical magnetometry, New J. Phys.20, 043010 (2018), publisher: IOP Publishing
2018
Show all 40 references
-
[9]
Waxman, Y
A. Waxman, Y. Schlussel, D. Groswasser, V. M. Acosta, L.-S. Bouchard, D. Budker, and R. Folman, Diamond magnetometry of superconducting thin films, Phys. Rev. B89, 054509 (2014), publisher: American Physical So- ciety
2014
-
[10]
K. O. Ho, W. K. Leung, Y. Y. Pang, K. Y. Yip, J. Xie, Y. M. Liu, A. S. Rotelli, M. Y. Leung, H. Y. Chow, K. T. Lai, A. Denisenko, B. Keimer, J. Wrachtrup, and S. Yang, Studying critical parameters of superconductor via diamond quantum sensors (2024), 2407.16848 [cond- mat]
2024 arXiv
-
[11]
Y. Xu, Y. Yu, Y. Y. Hui, Y. Su, J. Cheng, H.-C. Chang, Y. Zhang, Y. R. Shen, and C. Tian, Mapping dynami- cal magnetic responses of ultrathin micron-size supercon- ducting films using nitrogen-vacancy centers in diamond, Nano Lett.19, 5697 (2019), publisher: American Chem- 8 i...
2019
-
[12]
Leroux, F
M. Leroux, F. F. Balakirev, M. Miura, K. Agatsuma, L.Civale,andB.Maiorov,Dynamicsandcriticalcurrents in fast superconducting vortices at high pulsed magnetic fields, Phys. Rev. Appl.11, 054005 (2019), publisher: American Physical Society
2019
-
[13]
Thiel, D
L. Thiel, D. Rohner, M. Ganzhorn, P. Appel, E. Neu, B. Müller, R. Kleiner, D. Koelle, and P. Maletinsky, Quantitative nanoscale vortex imaging using a cryo- genic quantum magnetometer, Nature Nanotech11, 677 (2016), publisher: Nature Publishing Group
2016
-
[14]
Schlussel, T
Y. Schlussel, T. Lenz, D. Rohner, Y. Bar-Haim, L. Bougas, D. Groswasser, M. Kieschnick, E. Rozenberg, L. Thiel, A. Waxman, J. Meijer, P. Maletinsky, D. Bud- ker, and R. Folman, Wide-field imaging of superconduc- tor vortices with electron spins in diamond, Phys. Rev. Appl.10, ...
2018
-
[15]
Monge, T
R. Monge, T. Delord, N. V. Proscia, Z. Shotan, H. Jayakumar, J. Henshaw, P. R. Zangara, A. Lozovoi, D. Pagliero, P. D. Esquinazi, T. An, I. Sodemann, V. M. Menon, and C. A. Meriles, Spin dynamics of a solid-state qubit in proximity to a superconductor, Nano Lett.23, 422 (2023)...
2023
-
[16]
Nishimura, T
S. Nishimura, T. Kobayashi, D. Sasaki, T. Tsuji, T. Iwasaki, M. Hatano, K. Sasaki, and K. Kobayashi, Wide-field quantitative magnetic imaging of supercon- ducting vortices using perfectly aligned quantum sensors, Applied Physics Letters123, 112603 (2023)
2023
-
[17]
Wickenbrock, S
A. Wickenbrock, S. Jurgilas, A. Dow, L. Marmugi, and F. Renzoni, Magnetic induction tomography using an all- optical 87Rb atomic magnetometer, Opt. Lett., OL39, 6367 (2014), publisher: Optica Publishing Group
2014
-
[18]
Jensen, N.Leefer, A.Jarmola, Y.Dumeige, V.Acosta, P
K. Jensen, N.Leefer, A.Jarmola, Y.Dumeige, V.Acosta, P. Kehayias, B. Patton, and D. Budker, Cavity-enhanced room-temperature magnetometry using absorption by nitrogen-vacancy centers in diamond, Phys. Rev. Lett. 112, 160802 (2014), publisher: American Physical Soci- ety
2014
-
[19]
Paone, D
D. Paone, D. Pinto, G. Kim, L. Feng, M.-J. Kim, R. Stöhr, A. Singha, S. Kaiser, G. Logvenov, B. Keimer, J. Wrachtrup, and K. Kern, All-optical and microwave- free detection of meissner screening using nitrogen- vacancy centers in diamond, Journal of Applied Physics 129, 024306 (2021)
2021
-
[20]
Pellet-Mary, M
C. Pellet-Mary, M. Perdriat, P. Huillery, and G. Hétet, Relaxation processes in dipole-coupled nitrogen-vacancy centers in zero field: Application in magnetometry, Phys. Rev.Appl.20,034050(2023),publisher: AmericanPhys- ical Society
2023
-
[21]
S. V. Anishchik, V. G. Vins, A. P. Yelisseyev, N. N. Lukzen, N. L. Lavrik, and V. A. Bagryansky, Low-field feature in the magnetic spectra of NV- centers in dia- mond, New J. Phys.17, 023040 (2015), publisher: IOP Publishing
2015
-
[22]
Akhmedzhanov, L
R. Akhmedzhanov, L. Gushchin, N. Nizov, V. Nizov, D. Sobgayda, I. Zelensky, and P. Hemmer, Magnetome- try by cross-relaxation-resonance detection in ensembles of nitrogen-vacancy centers, Phys. Rev. A100, 043844 (2019), publisher: American Physical Society
2019
-
[23]
Sengottuvel, O
S. Sengottuvel, O. Dhungel, M. Mrózek, A. Wicken- brock, D. Budker, W. Gawlik, and A. M. Wojciechowski, Microwave-free imaging magnetometry with nitrogen- vacancy centers in nanodiamonds at near-zero field, Physical Review Applied23, 034001 (2025)
2025
-
[24]
Dhungel, M
O. Dhungel, M. Mrózek, T. Lenz, V. Ivády, A. Gali, A. Wickenbrock, D. Budker, W. Gawlik, and A. M. Woj- ciechowski,Near-zero-fieldmicrowave-freemagnetometry with nitrogen-vacancy centers in nanodiamonds, Optics Express32, 21936 (2024)
2024
-
[25]
Dhungel, T
O. Dhungel, T. Lenz, M. Omar, J. S. Rebeirro, M.-T. Luu, A. T. Younesi, R. Ulbricht, V. Ivády, A. Gali, A. Wickenbrock,et al., Near zero-field microwave-free magnetometry with ensembles of nitrogen-vacancy cen- ters in diamond, Physical Review B109, 224107 (2024)
2024
-
[26]
E. H. Brandt, Magnetic-field variance of superconduc- tors, Physical Review B37, 2349 (1988)
1988
-
[27]
Carneiro and E
G. Carneiro and E. H. Brandt, Vortex lines in films: Fields and interactions, Physical Review B61, 6370 (2000)
2000
-
[28]
London and H
F. London and H. London, The electromagnetic equa- tions of the supraconductor, Proceedings of the Royal Society A149, 71 (1935)
1935
-
[29]
Pearl, Current distribution in superconducting films carrying quantized fluxoids, Applied Physics Letters5, 65 (1964)
J. Pearl, Current distribution in superconducting films carrying quantized fluxoids, Applied Physics Letters5, 65 (1964)
1964
-
[30]
Tinkham,Introduction to Superconductivity, 2nd ed
M. Tinkham,Introduction to Superconductivity, 2nd ed. (McGraw-Hill, New York, 1996)
1996
-
[31]
J. R. Kirtley, Fundamental studies of superconductors using scanning magnetic imaging, Reports on Progress in Physics73, 126501 (2010)
2010
-
[32]
G. Y. Khadzhai, R. Vovk, Z. Nazyrov, and O. Dobrovol- skiy, Annealing of defects after irradiation of ybco single crystals with fast electrons, Physica C: Superconductiv- ity and its Applications565, 1353507 (2019)
2019
-
[33]
Annett,Superconductivity, superfluids and conden- sates(Oxford University Press, United Kingdom, 2004)
J. Annett,Superconductivity, superfluids and conden- sates(Oxford University Press, United Kingdom, 2004)
2004
-
[34]
Prozorov, R
R. Prozorov, R. W. Giannetta, A. Carrington, and F. M. Araujo-Moreira, Meissner-London state in superconduc- tors of rectangular cross section in a perpendicular mag- netic field, Phys. Rev. B62, 115 (2000)
2000
-
[35]
M. C. Fiolhais and H. Essén, Magnetic field expulsion from an infinite cylindrical superconductor, Physica C: Superconductivity and its Applications497, 54 (2014)
2014
-
[36]
C. Chen, Y. Liu, Y. Chen, Y. Hu, T. Zhang, D. Li, X. Wang, C. Wang, Z. Lu, Y. Zhang,et al., Revealing the microscopic mechanism of elementary vortex pinning in superconductors, Physical Review X14, 041039 (2024)
2024
-
[37]
Mahato, K
C. Mahato, K. Yang, and A. Ghosal, Pinning of vortices by impurities in unconventional superconductors, Physi- cal Review B110, 094513 (2024)
2024
-
[38]
Ishida, A
S. Ishida, A. Iyo, H. Ogino, H. Eisaki, N. Takeshita, K. Kawashima, K. Yanagisawa, Y. Kobayashi, K. Ki- moto, H. Abe,et al., Unique defect structure and ad- vantageous vortex pinning properties in superconducting CaKFe4As4, npj Quantum Materials4, 27 (2019)
2019
-
[39]
Rodzoń, X
I. Rodzoń, X. Zhang, V. Ivády, H. Zheng, A. Wicken- brock, and D. Budker, Temperature shift of magnetic field dependent photoluminescence features of nitrogen- vacancy ensembles in diamond, Physical Review B111, 094112 (2025)
2025
-
[40]
Wickenbrock, H
A. Wickenbrock, H. Zheng, L. Bougas, N. Leefer, S. Afach, A. Jarmola, V. M. Acosta, and D. Budker, Microwave-free magnetometry with nitrogen-vacancy centers in diamond, Applied Physics Letters109(2016)
2016
Reviewed August 4, 2026 · model on record in the stance chip above.
Discussion (0). Continue with ORCID to comment.