Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model
Abstract
Equilibrium magnetic properties of the mixed state in type II superconductors were studied on high-purity film and single-crystal niobium samples with different Ginzburg-Landau parameters in perpendicular and parallel magnetic fields using dc magnetometry and scanning Hall-probe microscopy. The magnetization curve for samples with unity demagnetizing factor (slabs in perpendicular field) was obtained for the first time. It was found that none of the existing theories is consistent with these new data. To address this problem, a theoretical model is developed and comprehensively validated. The new model describes the mixed state in an averaged limit, i.e., without detailing the samples’ magnetic structure and therefore ignoring the surface current and interactions between the structural units (vortices). At low values of the Ginzburg-Landau parameter, it converts to the model of Peierls and London for the intermediate state in type I superconductors. The model quantitatively describes the magnetization curve for the perpendicular field and provides new insights into the properties of the mixed state, including properties of individual vortices. In particular, it suggests that description of the vortex matter in superconductors of the transverse geometry as a “gas-like” system of non-interacting vortices is more appropriate than the frequently used solid-like scenarios.
- Authors:
-
- Tulsa Community College, Tulsa, OK (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of Bath (United Kingdom)
- Max Planck Inst. for Intelligent Systems, Stuttgart (Germany)
- Katholieke Univ. Leuven, (Belgium)
- Paul Scherrer Inst. (PSI), Villigen (Switzerland)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1494716
- Report Number(s):
- JLAB-ACC-16-2242; DOE/OR/23177-3832; arXiv:1603.04105
Journal ID: ISSN 1557-1939; NSF Grant No. DMR 0904157
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Superconductivity and Novel Magnetism
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 11; Journal ID: ISSN 1557-1939
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Kozhevnikov, V., Valente-Feliciano, A. -M., Curran, P. J., Richter, G., Volodin, A., Suter, A., Bending, S. J., and Van Haesendonck, C. Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model. United States: N. p., 2018.
Web. doi:10.1007/s10948-018-4622-y.
Kozhevnikov, V., Valente-Feliciano, A. -M., Curran, P. J., Richter, G., Volodin, A., Suter, A., Bending, S. J., & Van Haesendonck, C. Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model. United States. doi:10.1007/s10948-018-4622-y.
Kozhevnikov, V., Valente-Feliciano, A. -M., Curran, P. J., Richter, G., Volodin, A., Suter, A., Bending, S. J., and Van Haesendonck, C. Mon .
"Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model". United States. doi:10.1007/s10948-018-4622-y. https://www.osti.gov/servlets/purl/1494716.
@article{osti_1494716,
title = {Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model},
author = {Kozhevnikov, V. and Valente-Feliciano, A. -M. and Curran, P. J. and Richter, G. and Volodin, A. and Suter, A. and Bending, S. J. and Van Haesendonck, C.},
abstractNote = {Equilibrium magnetic properties of the mixed state in type II superconductors were studied on high-purity film and single-crystal niobium samples with different Ginzburg-Landau parameters in perpendicular and parallel magnetic fields using dc magnetometry and scanning Hall-probe microscopy. The magnetization curve for samples with unity demagnetizing factor (slabs in perpendicular field) was obtained for the first time. It was found that none of the existing theories is consistent with these new data. To address this problem, a theoretical model is developed and comprehensively validated. The new model describes the mixed state in an averaged limit, i.e., without detailing the samples’ magnetic structure and therefore ignoring the surface current and interactions between the structural units (vortices). At low values of the Ginzburg-Landau parameter, it converts to the model of Peierls and London for the intermediate state in type I superconductors. The model quantitatively describes the magnetization curve for the perpendicular field and provides new insights into the properties of the mixed state, including properties of individual vortices. In particular, it suggests that description of the vortex matter in superconductors of the transverse geometry as a “gas-like” system of non-interacting vortices is more appropriate than the frequently used solid-like scenarios.},
doi = {10.1007/s10948-018-4622-y},
journal = {Journal of Superconductivity and Novel Magnetism},
number = 11,
volume = 31,
place = {United States},
year = {2018},
month = {3}
}
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Works referencing / citing this record:
The direct observation of individual flux lines in type II superconductors
journal, May 1967
- Essmann, U.; Träuble, H.
- Physics Letters A, Vol. 24, Issue 10
Studies of niobium thin film produced by energetic vacuum deposition
journal, October 2005
- Wu, G.; Valente, A. -M.; Phillips, H. L.
- Thin Solid Films, Vol. 489, Issue 1-2
Mise en evidence par diffraction de neutrons d'une structure periodique du champ magnetique dans le niobium supraconducteur
journal, April 1964
- Cribier, D.; Jacrot, B.; Madhav Rao, L.
- Physics Letters, Vol. 9, Issue 2
Rayleigh instability of confined vortex droplets in critical superconductors
journal, November 2014
- Lukyanchuk, I.; Vinokur, V. M.; Rydh, A.
- Nature Physics, Vol. 11, Issue 1
Surface superconductivity in niobium for superconducting RF cavities
journal, February 2005
- Casalbuoni, S.; Knabbe, E. A.; Kötzler, J.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 538, Issue 1-3
The flux-line lattice in superconductors
journal, November 1995
- Brandt, E. H.
- Reports on Progress in Physics, Vol. 58, Issue 11