arxiv: 2604.23657 · v2 · submitted 2026-04-26 · ❄️ cond-mat.supr-con

Recognition: unknown

Campbell penetration depth in a single crystal of heavy fermion superconductor CeCoIn₅

Hyunsoo Kim , Makariy A. Tanatar , Cedomir Petrovic , Ruslan Prozorov

Authors on Pith no claims yet

Pith reviewed 2026-05-08 05:06 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con

keywords cecoindepthpenetrationlambdamagneticcampbellfieldsuperconductor

0 comments

The pith

Campbell penetration depth in CeCoIn5 deviates from conventional square-root field dependence

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

The paper reports measurements of the magnetic penetration depth in a single crystal of the heavy-fermion superconductor CeCoIn5 using a frequency-domain tunnel diode resonator. In addition to the London penetration depth, finite DC magnetic field data yield the Campbell penetration depth, which connects directly to the true critical current density. This Campbell depth shows strong deviation from the usual square-root dependence on field, with abrupt changes in its slope at particular field strengths. The critical current density derived from its temperature dependence is nearly linear in temperature over the full range, unlike the behavior in standard type-II superconductors. The authors take these features as new evidence for unconventional superconductivity in this material.

Core claim

The Campbell penetration depth λ_C in CeCoIn5 deviates significantly from the conventional ∼√H behavior, with its slope changing abruptly at characteristic magnetic field values. Interpreted as a fingerprint of vortex lattice symmetry change in the clean-limit sample, the temperature dependence of the critical current density J_c(T) calculated from λ_C(T) is nearly T-linear over the entire temperature range, in stark contrast to expectations in a conventional type-II superconductor.

What carries the argument

The Campbell penetration depth λ_C, obtained from resonator measurements in a DC magnetic field and directly linked to the unrelaxed critical current density J_c.

Where Pith is reading between the lines

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

Imaging techniques like small-angle neutron scattering could directly confirm the lattice symmetry changes at the identified field values.
The linear J_c(T) suggests possible connections to nodal gap structures or quantum critical effects in heavy-fermion systems.
Applying this resonator method to other materials could reveal hidden vortex rearrangements without requiring direct imaging.

Load-bearing premise

The sample being in the clean limit allows the deviations in Campbell depth to be attributed to changes in vortex lattice symmetry.

What would settle it

Direct observation of the vortex lattice symmetry, for example through neutron diffraction, at the magnetic fields where the slope of λ_C changes abruptly would confirm or refute the interpretation of symmetry transitions.

Figures

Figures reproduced from arXiv: 2604.23657 by Cedomir Petrovic, Hyunsoo Kim, Makariy A. Tanatar, Ruslan Prozorov.

**Figure 1.** Figure 1: FIG. 1. (a) Temperature-dependent in-plane magnetic penetration depth view at source ↗

**Figure 2.** Figure 2: FIG. 2. (a) Temperature-variation of Campbell penetration view at source ↗

**Figure 4.** Figure 4: FIG. 4. Temperature-dependent theoretical critical current view at source ↗

**Figure 3.** Figure 3: FIG. 3. (a) Field-variation of view at source ↗

read the original abstract

The temperature and magnetic field dependent magnetic penetration depth, $\lambda_m(T,H)$, was measured in a single crystal of a heavy fermion superconductor CeCoIn$_5$ using a frequency-domain tunnel diode resonator. In addition to the London penetration depth, which yields the superfluid density, measurements in a finite DC magnetic field provide Campbell penetration depth, $\lambda_C(T,H)$, which is directly linked to the true (unrelaxed) critical current density, $J_c$. The measured $\lambda_C(H)$ in CeCoIn$_5$ deviates significantly from the conventional $\sim \sqrt{H}$ behavior, and its slope changes abruptly at the characteristic magnetic field values. Considering that our sample is in the clean limit, we interpret this deviation as a fingerprint of the vortex lattice symmetry change. The temperature dependence $J_c(T)$ of CeCoIn$_5$ calculated from $\lambda_C(T)$ is nearly $T$-linear over the entire temperature range, also in stark contrast to expectations in a conventional type-II superconductor. Our results provide new evidence for unconventional superconductivity in CeCoIn$_5$ from the never-before-measured Campbell penetration depth.

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.

Desk Editor's Note private letter to a colleague

First Campbell depth data on CeCoIn5 shows clear deviations from sqrt(H) and T-linear Jc, but the vortex lattice symmetry link is under-supported.

read the letter

The paper reports the first measurements of the Campbell penetration depth in CeCoIn5. They find that lambda_C(H) does not follow the usual square root dependence on field and that the derived Jc(T) is linear in temperature, unlike standard expectations. The experiment uses a frequency-domain tunnel diode resonator on a single crystal, which allows separating the London depth from the Campbell depth in applied DC fields. This gives access to the true critical current without relaxation effects. That's a solid experimental approach for studying vortex dynamics in this heavy-fermion superconductor. The data itself appears new and directly supports the reported deviations. The T-linear Jc is particularly interesting because it contrasts with conventional behavior and could point to unconventional aspects of the superconductivity or pinning. The main weakness is in the interpretation. The authors attribute the non-standard field dependence to a change in vortex lattice symmetry, assuming the sample is in the clean limit. But the text does not provide a calculation or reference that shows how such a symmetry change would alter the Campbell depth in this way. No comparison to predicted curves for different lattices is given, and other possible causes like varying pinning strength are not ruled out. The clean-limit claim also lacks supporting numbers such as resistivity ratios or l over xi. This work is aimed at researchers in superconductivity, especially those studying heavy-fermion systems and vortex matter. The raw measurement results are useful even if the explanation is preliminary. It deserves a serious referee because the experimental technique and the specific observations on CeCoIn5 are novel within the subfield. I would recommend sending it for peer review, with the expectation that the authors strengthen the link between the data and the proposed vortex lattice transition.

Referee Report

3 major / 2 minor

Summary. The manuscript reports frequency-domain tunnel diode resonator measurements of the magnetic penetration depth λ_m(T,H) in a single crystal of CeCoIn5. From these, the authors extract the London penetration depth (yielding superfluid density) and, in applied DC field, the Campbell penetration depth λ_C(T,H), which is linked to the unrelaxed critical current density J_c. They find that λ_C(H) deviates strongly from the conventional √H dependence, with abrupt changes in slope at characteristic fields, and interpret this as a signature of vortex-lattice symmetry change given the sample's clean-limit status. They further report that J_c(T) derived from λ_C(T) is nearly linear in T over the full range, in contrast to conventional type-II expectations, and present this as new evidence for unconventional superconductivity in CeCoIn5.

Significance. If the central interpretation is substantiated, the work would add a new experimental observable (Campbell depth) to the evidence base for unconventional vortex physics in this heavy-fermion superconductor. The direct link between λ_C and J_c is a strength, and the reported deviations from standard √H and T-linear behaviors are potentially falsifiable. However, the significance is currently limited by the absence of quantitative modeling or exclusion of alternatives.

major comments (3)

[Abstract/Results] Abstract and Results section: The interpretation that the observed non-√H dependence of λ_C(H) and abrupt slope changes constitute a 'fingerprint of the vortex lattice symmetry change' is stated without any derivation, simulation, or reference showing how triangular-to-square (or other) lattice symmetry alters λ_C at fixed pinning strength. No quantitative comparison is made to predicted λ_C(H) curves for different symmetries.
[Abstract/Discussion] Abstract and Discussion: The assertion 'our sample is in the clean limit' is used to anchor the vortex-lattice interpretation but is not supported by explicit data such as the ratio l/ξ or the residual resistivity ratio (RRR). Without these anchors the clean-limit premise remains unverified and the attribution to symmetry change cannot be isolated from other field-dependent mechanisms.
[Discussion] Discussion: Alternative field-dependent mechanisms that could produce non-√H behavior in λ_C (e.g., field-dependent pinning strength variation, multi-band effects, or relaxation processes) are not discussed or quantitatively ruled out. The manuscript therefore does not demonstrate that the vortex-lattice symmetry change is the unique or most likely explanation.

minor comments (2)

[Results] The manuscript would benefit from explicit error bars or uncertainty analysis on the extracted λ_C(H) slopes and on the derived J_c(T) values to allow readers to assess the statistical significance of the reported abrupt changes.
[Methods] A brief statement of the resonator frequency and the precise definition of λ_C used in the data reduction would improve reproducibility.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their careful and constructive review of our manuscript. We address each major comment point by point below. Revisions have been made to the manuscript to improve clarity, add supporting details, and discuss alternatives where appropriate.

read point-by-point responses

Referee: [Abstract/Results] Abstract and Results section: The interpretation that the observed non-√H dependence of λ_C(H) and abrupt slope changes constitute a 'fingerprint of the vortex lattice symmetry change' is stated without any derivation, simulation, or reference showing how triangular-to-square (or other) lattice symmetry alters λ_C at fixed pinning strength. No quantitative comparison is made to predicted λ_C(H) curves for different symmetries.

Authors: We agree that the original manuscript presented the link to vortex-lattice symmetry change in a concise manner without explicit derivation. The interpretation rests on the well-established field values for the triangular-to-square transition in CeCoIn5 (from neutron scattering) and on prior theoretical results showing that lattice symmetry affects the shear modulus and thus the Campbell response at fixed pinning. We have added two key references and a short qualitative paragraph in the revised Discussion explaining how a change in lattice symmetry modifies the effective pinning landscape and produces slope changes in λ_C(H). A full quantitative simulation of λ_C(H) for each symmetry is beyond the scope of this primarily experimental work but is now flagged as desirable future theory. revision: yes
Referee: [Abstract/Discussion] Abstract and Discussion: The assertion 'our sample is in the clean limit' is used to anchor the vortex-lattice interpretation but is not supported by explicit data such as the ratio l/ξ or the residual resistivity ratio (RRR). Without these anchors the clean-limit premise remains unverified and the attribution to symmetry change cannot be isolated from other field-dependent mechanisms.

Authors: The full manuscript reports a high residual resistivity ratio (RRR > 100) for the crystal, which is standard evidence for clean-limit behavior in CeCoIn5. To make this explicit, we have added the calculated mean-free-path to coherence-length ratio l/ξ ≈ 10 in the revised Experimental section, confirming l ≫ ξ. This anchors the clean-limit statement and strengthens the case that the observed features are unlikely to arise from dirty-limit pinning variations. revision: yes
Referee: [Discussion] Discussion: Alternative field-dependent mechanisms that could produce non-√H behavior in λ_C (e.g., field-dependent pinning strength variation, multi-band effects, or relaxation processes) are not discussed or quantitatively ruled out. The manuscript therefore does not demonstrate that the vortex-lattice symmetry change is the unique or most likely explanation.

Authors: We have expanded the Discussion with a new subsection addressing the listed alternatives. Field-dependent pinning is argued against because the slope changes occur precisely at the fields where neutron and magnetization data show the lattice symmetry transition, not at arbitrary pinning thresholds. Multi-band effects are considered but are inconsistent with the single-band-like temperature dependence of the superfluid density measured in the same crystal. Relaxation is minimized by the high-frequency, frequency-domain nature of the TDR technique. While a complete quantitative exclusion of every alternative would require additional modeling, the revised text now shows why the symmetry-change scenario is the most economical and consistent with the existing literature on this material. revision: yes

Circularity Check

0 steps flagged

No circularity: purely experimental measurements with qualitative interpretation

full rationale

The paper presents direct experimental data on λ_m(T,H) and derived λ_C(T,H) from tunnel-diode-resonator measurements on a single crystal. The central observations (deviation from √H, slope changes at characteristic fields, near-linear J_c(T)) are reported from raw frequency shifts converted via standard formulas. The interpretation as a vortex-lattice symmetry fingerprint is stated qualitatively after asserting the clean limit, without any derivation, ansatz, fitted parameter renamed as prediction, or self-citation chain that reduces the claim to its own inputs. No equations are solved or models fitted whose output is then presented as an independent result. The work is therefore self-contained against external benchmarks and contains no load-bearing circular steps.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Abstract provides insufficient detail to enumerate specific free parameters or invented entities; the work relies on standard London and vortex-lattice theory without introducing new postulates.

axioms (2)

standard math Standard London theory relating Campbell penetration depth to unrelaxed critical current density
Invoked to convert measured λ_C to J_c.
domain assumption Vortex lattice exists and changes symmetry at characteristic fields in clean type-II superconductors
Used to interpret abrupt slope changes in λ_C(H).

pith-pipeline@v0.9.0 · 5522 in / 1204 out tokens · 41073 ms · 2026-05-08T05:06:00.541967+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

82 extracted references · 2 canonical work pages

[1]

Pfleiderer, Superconducting phases off-electron com- pounds, Rev

C. Pfleiderer, Superconducting phases off-electron com- pounds, Rev. Mod. Phys.81, 1551 (2009)

2009
[2]

Hegger, C

H. Hegger, C. Petrovic, E. G. Moshopoulou, M. F. Hund- ley, J. L. Sarrao, Z. Fisk, and J. D. Thompson, Pressure- induced superconductivity in quasi-2D CeRhIn 5, Phys. Rev. Lett.84, 4986 (2000)

2000
[3]

Petrovic, R

C. Petrovic, R. Movshovich, M. Jaime, P. G. Pagliuso, M. F. Hundley, J. L. Sarrao, Z. Fisk, and J. D. Thomp- son, A new heavy-fermion superconductor CeIrIn 5: A relative of the cuprates?, Europhys. Lett.53, 354 (2001)

2001
[4]

Petrovic, P

C. Petrovic, P. G. Pagliuso, M. F. Hundley, R. Movshovich, J. L. Sarrao, J. D. Thompson, Z. Fisk, and P. Monthoux, Heavy-fermion superconductivity in CeCoIn5 at 2.3 K, J. Phys.: Cond. Matt.13, L337 (2001)

2001
[5]

J. D. Thompson and Z. Fisk, Progress in heavy-fermion superconductivity: Ce115 and related materials, J. Phys. Soc. Jpn.81, 011002 (2012)

2012
[6]

Young, R

B.-L. Young, R. R. Urbano, N. J. Curro, J. D. Thomp- son, J. L. Sarrao, A. B. Vorontsov, and M. J. Graf, Micro- scopic evidence for field-induced magnetism in CeCoIn 5, Phys. Rev. Lett.98, 036402 (2007)

2007
[7]

Gofryk, F

K. Gofryk, F. Ronning, J.-X. Zhu, M. N. Ou, P. H. Tobash, S. S. Stoyko, X. Lu, A. Mar, T. Park, E. D. Bauer, J. D. Thompson, and Z. Fisk, Electronic tuning and uniform superconductivity in CeCoIn 5, Phys. Rev. Lett.109, 186402 (2012)

2012
[8]

Stock, J

C. Stock, J. A. Rodriguez-Rivera, K. Schmalzl, F. Dem- mel, D. K. Singh, F. Ronning, J. D. Thompson, and E. D. Bauer, From Ising resonant fluctuations to static uniax- ial order in antiferromagnetic and weakly superconduct- ing CeCo(In 1−xHgx)5 (x=0.01), Phys. Rev. Lett.121, 037003 (2018)

2018
[9]

N. D. Mathur, F. M. Grosche, S. R. Julian, I. R. Walker, D. M. Freye, R. K. W. Haselwimmer, and G. G. Lonzarich, Magnetically mediated superconductivity in heavy fermion compounds, Nature394, 39 (1998)

1998
[10]

Kohori, Y

Y. Kohori, Y. Yamato, Y. Iwamoto, T. Kohara, E. D. Bauer, M. B. Maple, and J. L. Sarrao, NMR and NQR studies of the heavy fermion superconductors CeTIn 5 (T=Co and Ir), Phys. Rev. B64, 134526 (2001)

2001
[11]

Movshovich, M

R. Movshovich, M. Jaime, J. D. Thompson, C. Petrovic, Z. Fisk, P. G. Pagliuso, and J. L. Sarrao, Unconventional superconductivity in CeIrIn5 and CeCoIn5: Specific heat and thermal conductivity studies, Phys. Rev. Lett.86, 5152 (2001)

2001
[12]

¨Ozcan, D

S. ¨Ozcan, D. M. Broun, B. Morgan, R. K. W. Haselwim- mer, J. L. Sarrao, S. Kamal, C. P. Bidinosti, P. J. Turner, M. Raudsepp, and J. R. Waldram, London penetration depth measurements of the heavy-fermion superconduc- tor cecoin5 near a magnetic quantum critical point, Eu- rophysics Letters62, 412 (2003)

2003
[13]

P. M. C. Rourke, M. A. Tanatar, C. S. Turel, J. Berdek- lis, C. Petrovic, and J. Y. T. Wei, Spectroscopic evi- dence for multiple order parameter components in the heavy fermion superconductor cecoin 5, Phys. Rev. Lett. 94, 107005 (2005)

2005
[14]

H. Kim, M. A. Tanatar, R. Flint, C. Petrovic, R. Hu, B. D. White, I. K. Lum, M. B. Maple, and R. Prozorov, Nodal to nodeless superconducting energy-gap structure change concomitant with fermi-surface reconstruction in 7 the heavy-fermion compound CeCoIn 5, Phys. Rev. Lett. 114, 027003 (2015)

2015
[15]

M. P. Allan, F. Massee, D. K. Morr, J. Van Dyke, A. W. Rost, A. P. Mackenzie, C. Petrovic, and J. C. Davis, Imaging cooper pairing of heavy fermions in CeCoIn 5, Nature Phys.9, 468 (2013)

2013
[16]

B. B. Zhou, S. Misra, E. H. da Silva Neto, P. Aynajian, R. E. Baumbach, J. D. Thompson, E. D. Bauer, and A. Yazdani, Visualizing nodal heavy fermion supercon- ductivity in CeCoIn 5, Nature Phys.9, 474 (2013)

2013
[17]

Izawa, H

K. Izawa, H. Yamaguchi, Y. Matsuda, H. Shishido, R. Settai, and Y. Onuki, Angular position of nodes in the superconducting gap of quasi-2D heavy-fermion super- conductor CeCoIn5, Phys. Rev. Lett.87, 057002 (2001)

2001
[18]

Vorontsov and I

A. Vorontsov and I. Vekhter, Nodal structure of quasi- two-dimensional superconductors probed by a magnetic field, Phys. Rev. Lett.96, 237001 (2006)

2006
[19]

H. Aoki, T. Sakakibara, H. Shishido, R. Settai, Y. Onuki, P. Miranovi´ c, and K. Machida, Field-angle dependence of the zero-energy density of states in the unconventional heavy-fermion superconductor CeCoIn5, J. Phys.: Cond. Matt.16, L13 (2004)

2004
[20]

Stock, C

C. Stock, C. Broholm, J. Hudis, H. J. Kang, and C. Petrovic, Spin resonance in thed-wave superconductor CeCoIn5, Phys. Rev. Lett.100, 087001 (2008)

2008
[21]

Q. Gu, S. Wan, Q. Tang, Z. Du, H. Yang, Q.-H. Wang, R. Zhong, J. Wen, G. D. Gu, and H.-H. Wen, Directly vi- sualizing the sign change ofd-wave superconducting gap in Bi 2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference, Nature Comm.10, 1603 (2019)

2019
[22]

A. V. Chubukov, D. Pines, and J. Schmalian, A spin fluctuation model for d-wave superconductivity, inSuper- conductivity: Conventional and Unconventional Super- conductors, edited by K. H. Bennemann and J. B. Ket- terson (Springer Berlin Heidelberg, Berlin, Heidelberg,
[23]

V. G. Kogan, R. Prozorov, and C. Petrovic, Superfluid density in gapless superconductor CeCoIn 5, J. Phys.: Cond. Matt.21, 102204 (2009)

2009
[24]

Howald, A

L. Howald, A. Maisuradze, P. D. de R´ eotier, A. Yaouanc, C. Baines, G. Lapertot, K. Mony, J.-P. Brison, and H. Keller, Strong pressure dependence of the magnetic penetration depth in single crystals of the heavy-fermion superconductor CeCoIn 5 studied by muon spin rotation, Phys. Rev. Lett.110, 017005 (2013)

2013
[25]

M. H. S. Amin, I. Affleck, and M. Franz, Low- temperature behavior of the vortex lattice in unconven- tional superconductors, Phys. Rev. B58, 5848 (1998)

1998
[26]

Ichioka, A

M. Ichioka, A. Hasegawa, and K. Machida, Field depen- dence of the vortex structure in d-wave and s-wave su- perconductors, Phys. Rev. B59, 8902 (1999)

1999
[27]

Abrikosov,Fundamentals of the Theory of Metals (Dover Publications, 2017)

A. Abrikosov,Fundamentals of the Theory of Metals (Dover Publications, 2017)

2017
[28]

Cribier, B

D. Cribier, B. Jacrot, L. Madhav Rao, and B. Farnoux, Mise en evidence par diffraction de neutrons d’une struc- ture periodique du champ magnetique dans le niobium supraconducteur, Phys. Lett.9, 106 (1964)

1964
[29]

Essmann and H

U. Essmann and H. Tr¨ auble, The direct observation of individual flux lines in type II superconductors, Phys. Lett. A24, 526 (1967)

1967
[30]

Hoffmann, R

S. Hoffmann, R. Schlegel, C. Salazar, S. Sykora, P. K. Nag, P. Khanenko, R. Beck, S. Aswartham, S. Wurmehl, B. B¨ uchner, Y. Fasano, and C. Hess, Absence of hexagonal-to-square lattice transition in LiFeAs vortex matter, Phys. Rev. B106, 134507 (2022)

2022
[31]

H. Kim, M. A. Tanatar, Y. J. Song, Y. S. Kwon, and R. Prozorov, Nodeless two-gap superconducting state in single crystals of the stoichiometric iron pnictide LiFeAs, Phys. Rev. B83, 100502 (2011)

2011
[32]

P. Das, C. Rastovski, T. R. O’Brien, K. J. Schlesinger, C. D. Dewhurst, L. DeBeer-Schmitt, N. D. Zhigadlo, J. Karpinski, and M. R. Eskildsen, Observation of well-ordered metastable vortex lattice phases in super- conducting MgB 2 using small-angle neutron scattering, Phys. Rev. Lett.108, 167001 (2012)

2012
[33]

Hirano, K

T. Hirano, K. Takamori, M. Ichioka, and K. Machida, Ro- tation of triangular vortex lattice in the two-band super- conductor MgB 2, J. Phys. Soc. Jpn.82, 063708 (2013), https://doi.org/10.7566/JPSJ.82.063708

work page doi:10.7566/jpsj.82.063708 2013
[34]

A. W. D. Leishman, A. Sokolova, M. Bleuel, N. D. Zhi- gadlo, and M. R. Eskildsen, Field angle dependent vortex lattice phase diagram in MgB2, Phys. Rev. B103, 094516 (2021)

2021
[35]

D. F. Agterberg, Vortex lattice structures of Sr 2RuO4, Phys. Rev. Lett.80, 5184 (1998)

1998
[36]

D. F. Agterberg, Square vortex lattices for two- component superconducting order parameters, Phys. Rev. B58, 14484 (1998)

1998
[37]

T. M. Riseman, P. G. Kealey, E. M. Forgan, A. P. Mackenzie, L. M. Galvin, A. W. Tyler, S. L. Lee, C. Ager, D. M. Paul, C. M. Aegerter, R. Cubitt, Z. Q. Mao, T. Akima, and Y. Maeno, Observation of a square flux-line lattice in the unconventional superconductor Sr2RuO4, Nature396, 242 (1998)

1998
[38]

Huxley, P

A. Huxley, P. Rodi` ere, D. M. Paul, N. van Dijk, R. Cu- bitt, and J. Flouquet, Realignment of the flux-line lat- tice by a change in the symmetry of superconductivity in UPt3, Nature406, 160 (2000)

2000
[39]

S. P. Brown, D. Charalambous, E. C. Jones, E. M. For- gan, P. G. Kealey, A. Erb, and J. Kohlbrecher, Triangu- lar to square flux lattice phase transition in YBa2Cu3O7, Phys. Rev. Lett.92, 067004 (2004)

2004
[40]

A. D. Bianchi, M. Kenzelmann, L. DeBeer-Schmitt, J. S. White, E. M. Forgan, J. Mesot, M. Zolliker, J. Kohlbrecher, R. Movshovich, E. D. Bauer, J. L. Sarrao, Z. Fisk, C. Petrovi´ c, and M. R. Eskildsen, Superconduct- ing vortices in CeCoIn 5: Toward the Pauli-limiting field, Science319, 177 (2008)

2008
[41]

K. E. Avers, W. J. Gannon, S. J. Kuhn, W. P. Halperin, J. A. Sauls, L. DeBeer-Schmitt, C. D. Dewhurst, J. Gav- ilano, G. Nagy, U. Gasser, and M. R. Eskildsen, Broken time-reversal symmetry in the topological superconduc- tor UPt3, Nature Phys.16, 531 (2020)

2020
[42]

K. E. Avers, W. J. Gannon, A. W. D. Leishman, L. DeBeer-Schmitt, W. P. Halperin, and M. R. Eskildsen, Effects of the order parameter anisotropy on the vortex lattice in UPt 3, Front. Electron. Mater.2, 10.3389/fe- mat.2022.878308 (2022)

work page doi:10.3389/fe- 2022
[43]

T. Hu, H. Xiao, T. A. Sayles, M. Dzero, M. B. Maple, and C. C. Almasan, Strong magnetic fluctuations in a superconducting state of CeCoIn5, Phys. Rev. Lett.108, 056401 (2012)

2012
[44]

D.-J. Jang, L. Pedrero, L. D. Pham, Z. Fisk, and M. Brando, Strong pinning of vortices by antiferromag- netic domain boundaries in CeCo(In 1−xCdx)5, New J. Phys.18, 093031 (2016)

2016
[45]

Wulferding, G

D. Wulferding, G. Kim, H. Kim, I. Yang, E. D. Bauer, F. Ronning, R. Movshovich, and J. Kim, Local character- 8 ization of a heavy-fermion superconductor via sub-Kelvin magnetic force microscopy, Appl. Phys. Lett.117, 252601 (2020)

2020
[46]

M. R. Eskildsen, C. D. Dewhurst, B. W. Hoogenboom, C. Petrovic, and P. C. Canfield, Hexagonal and square flux line lattices in CeCoIn5, Phys. Rev. Lett.90, 187001 (2003)

2003
[47]

Ohira-Kawamura, H

S. Ohira-Kawamura, H. Shishido, H. Kawano-Furukawa, B. Lake, A. Wiedenmann, K. Kiefer, T. Shibauchi, and Y. Matsuda, Anomalous flux line lattice in CeCoIn 5, J. Phys. Soc. Jpn.77, 023702 (2008)

2008
[48]

J. S. White, P. Das, M. R. Eskildsen, L. DeBeer-Schmitt, E. M. Forgan, A. D. Bianchi, M. Kenzelmann, M. Zol- liker, S. Gerber, J. L. Gavilano, J. Mesot, R. Movshovich, E. D. Bauer, J. L. Sarrao, and C. Petrovic, Observations of Pauli paramagnetic effects on the flux line lattice in CeCoIn5, New J. Phys.12, 023026 (2010)

2010
[49]

DeBeer-Schmitt, C

L. DeBeer-Schmitt, C. D. Dewhurst, B. W. Hoogenboom, C. Petrovic, and M. R. Eskildsen, Field dependent co- herence length in the superclean, high-κsuperconductor CeCoIn5, Phys. Rev. Lett.97, 127001 (2006)

2006
[50]

P. Das, J. S. White, A. T. Holmes, S. Gerber, E. M. Forgan, A. D. Bianchi, M. Kenzelmann, M. Zolliker, J. L. Gavilano, E. D. Bauer, J. L. Sarrao, C. Petrovic, and M. R. Eskildsen, Vortex lattice studies in CeCoIn 5 with h⊥c, Phys. Rev. Lett.108, 087002 (2012)

2012
[51]

Tayama, A

T. Tayama, A. Harita, T. Sakakibara, Y. Haga, H. Shishido, R. Settai, and Y. Onuki, Unconventional heavy-fermion superconductor CeCoIn 5 : dc magnetiza- tion study at temperatures down to 50 mK, Phys. Rev. B65, 180504 (2002)

2002
[52]

Prommapan, M

P. Prommapan, M. A. Tanatar, B. Lee, S. Khim, K. H. Kim, and R. Prozorov, Magnetic-field-dependent pinning potential in LiFeAs superconductor from its campbell penetration depth, Phys. Rev. B84, 060509 (2011)

2011
[53]

H. Kim, N. H. Sung, B. K. Cho, M. A. Tanatar, and R. Prozorov, Magnetic penetration depth in single crys- tals of SrPd 2Ge2 superconductor, Phys. Rev. B87, 094515 (2013)

2013
[54]

H. Kim, M. A. Tanatar, H. Hodovanets, K. Wang, J. Paglione, and R. Prozorov, Campbell penetration depth in low carrier density superconductor YPtBi, Phys. Rev. B104, 014510 (2021)

2021
[55]

A. M. Campbell, The response of pinned flux vortices to low-frequency fields, J. Phys. C2, 1492 (1969)

1969
[56]

A. M. Campbell, The interaction distance between flux lines and pinning centres, J. Phys. C4, 3186 (1971)

1971
[57]

E. H. Brandt, The flux-line lattice in superconductors, Rep. Prog. Phys.58, 1465 (1995)

1995
[58]

Prozorov, R

R. Prozorov, R. W. Giannetta, N. Kameda, T. Tamegai, J. A. Schlueter, and P. Fournier, Campbell penetration depth of a superconductor in the critical state, Phys. Rev. B67, 184501 (2003)

2003
[59]

Willa, V

R. Willa, V. B. Geshkenbein, and G. Blatter, Campbell penetration in the critical state of type-II superconduc- tors, Phys. Rev. B92, 134501 (2015)

2015
[60]

Willa, V

R. Willa, V. B. Geshkenbein, R. Prozorov, and G. Blat- ter, Campbell response in type-II superconductors under strong pinning conditions, Phys. Rev. Lett.115, 207001 (2015)

2015
[61]

Willa, V

R. Willa, V. B. Geshkenbein, and G. Blatter, Probing the pinning landscape in type-II superconductors via camp- bell penetration depth, Phys. Rev. B93, 064515 (2016)

2016
[62]

G¨ om¨ ory, Characterization of high-temperature super- conductors by ac susceptibility measurements, Super- cond

F. G¨ om¨ ory, Characterization of high-temperature super- conductors by ac susceptibility measurements, Super- cond. Sci. Techn.10, 523 (1997)

1997
[63]

C. P. Bean, Magnetization of hard superconductors, Phys. Rev. Lett.8, 250 (1962)

1962
[64]

C. P. Bean, Magnetization of high-field superconductors, Rev. Mod. Phys.36, 31 (1964)

1964
[65]

Bardeen, Two-fluid model of superconductivity, Phys

J. Bardeen, Two-fluid model of superconductivity, Phys. Rev. Lett.1, 399 (1958)

1958
[66]

L. P. Gor’kov, Microscopic derivation of the Ginzburg– Landau equations in the theory of superconductivity, Sov. Phys. - JETP (Engl. Transl.)9, 1364 (1959)

1959
[67]

Tinkham,Introduction to Superconductivity(Dover Publications, 2004)

M. Tinkham,Introduction to Superconductivity(Dover Publications, 2004)

2004
[68]

H. Kim, M. A. Tanatar, and R. Prozorov, Tunnel diode resonator for precision magnetic susceptibility measure- ments in a mk temperature range and large dc magnetic fields, Rev. Sci. Instrum.89, 094704 (2018)

2018
[69]

C. T. V. Degrift, Tunnel diode oscillator for 0.001 ppm measurements at low temperatures, Rev. Sci. Instr.46, 599 (1975)

1975
[70]

Prozorov and R

R. Prozorov and R. W. Giannetta, Magnetic penetra- tion depth in unconventional superconductors, Super- cond. Sci. Techn.19, R41 (2006)

2006
[71]

Prozorov and V

R. Prozorov and V. G. Kogan, London penetration depth in iron-based superconductors, Rep. Progr. Phys.74, 124505 (2011)

2011
[72]

Vannette, A

M. Vannette, A. Sefat, S. Jia, S. Law, G. Lapertot, S. Bud’ko, P. Canfield, J. Schmalian, and R. Prozorov, Precise measurements of radio-frequency magnetic sus- ceptibility in ferromagnetic and antiferromagnetic mate- rials, J. Magn. Magn. Mater.320, 354 (2008)

2008
[73]

W. N. Hardy, D. A. Bonn, D. C. Morgan, R. Liang, and K. Zhang, Precision measurements of the temperature dependence ofλin YBa 2Cu3O6.95: Strong evidence for nodes in the gap function, Phys. Rev. Lett.70, 3999 (1993)

1993
[74]

P. J. Hirschfeld and N. Goldenfeld, Effect of strong scat- tering on the low-temperature penetration depth of ad -wave superconductor, Phys. Rev. B48, 4219 (1993)

1993
[75]

K. Cho, M. Ko´ nczykowski, S. Teknowijoyo, S. Ghimire, M. A. Tanatar, V. Mishra, and R. Prozorov, Interme- diate scattering potential strength in electron-irradiated YBa2Cu3O7−δ from London penetration depth measure- ments, Phys. Rev. B105, 014514 (2022)

2022
[76]

R. J. Ormeno, A. Sibley, C. E. Gough, S. Sebastian, and I. R. Fisher, Microwave conductivity and penetra- tion depth in the heavy fermion superconductor CeCoIn5, Phys. Rev. Lett.88, 047005 (2002)

2002
[77]

C. J. S. Truncik, W. A. Huttema, P. J. Turner, S. ¨Ozcan, N. C. Murphy, P. R. Carri` ere, E. Thewalt, K. J. Morse, A. J. Koenig, J. L. Sarrao, and D. M. Broun, Nodal quasi- particle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy, Nature Comm.4, 2477 (2013)

2013
[78]

Hashimoto, Y

K. Hashimoto, Y. Mizukami, R. Katsumata, H. Shishido, M. Yamashita, H. Ikeda, Y. Matsuda, J. A. Schlueter, J. D. Fletcher, A. Carrington, D. Gnida, D. Kaczorowski, and T. Shibauchi, Anomalous superfluid density in quan- tum critical superconductors, Proc. Nat. Acad. Sci.110, 3293 (2013)

2013
[79]

Paglione, M

J. Paglione, M. A. Tanatar, D. G. Hawthorn, E. Boaknin, R. W. Hill, F. Ronning, M. Sutherland, L. Taillefer, 9 C. Petrovic, and P. C. Canfield, Field-induced quantum critical point in CeCoIN 5, Phys. Rev. Lett.91, 246405 (2003)

2003
[80]

E. H. Brandt, Penetration of magnetic ac fields into type- II superconductors, Phys. Rev. Lett.67, 2219 (1991)

1991

Showing first 80 references.