skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [2];  [3];  [4];  [5];  [6];  [3];  [5]
  1. Tulsa Community College, Tulsa, OK (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Univ. of Bath (United Kingdom)
  4. Max Planck Inst. for Intelligent Systems, Stuttgart (Germany)
  5. Katholieke Univ. Leuven, (Belgium)
  6. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Magnetic transition of a superconducting film in a transverse field
journal, June 1963


The flux-line lattice in superconductors
journal, November 1995


Approximate calculation of the reversible magnetization curve of type II superconductors
journal, June 1970

  • Koppe, H.; Willebrand, J.
  • Journal of Low Temperature Physics, Vol. 2, Issue 5-6
  • DOI: 10.1007/BF00628270

Vortices in high-temperature superconductors
journal, October 1994


Spontaneous Symmetry-Breaking Vortex Lattice Transitions in Pure Niobium
journal, April 2006


Magnetic Properties of Superconducting Lead-Base Alloys
journal, March 1963


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
  • DOI: 10.1016/j.nima.2004.09.003

Direct Observation of a Flux Line Lattice Field Distribution across an YBa 2 Cu 3 O 7 δ surface by Low Energy Muons
journal, November 1999


Superconducting Properties of High-Purity Niobium
journal, September 1966

  • Finnemore, D. K.; Stromberg, T. F.; Swenson, C. A.
  • Physical Review, Vol. 149, Issue 1
  • DOI: 10.1103/PhysRev.149.231

μSR studies of the vortex state in type-II superconductors
journal, July 2000

  • Sonier, Jeff E.; Brewer, Jess H.; Kiefl, Robert F.
  • Reviews of Modern Physics, Vol. 72, Issue 3
  • DOI: 10.1103/RevModPhys.72.769

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
  • DOI: 10.1038/nphys3146

Precision Ginzburg-Landau Solution of Ideal Vortex Lattices for Any Induction and Symmetry
journal, March 1997


Mise en evidence par diffraction de neutrons d'une structure periodique du champ magnetique dans le niobium supraconducteur
journal, April 1964


Transverse Magnetization of In—Sn Films
journal, January 1964


Photographic studies of quantized vortex lines
journal, March 1982

  • Yarmchuk, E. J.; Packard, R. E.
  • Journal of Low Temperature Physics, Vol. 46, Issue 5-6
  • DOI: 10.1007/BF00683912

Studies of niobium thin film produced by energetic vacuum deposition
journal, October 2005


Equilibrium properties of superconducting niobium at high magnetic fields: A possible existence of a filamentary state in type-II superconductors
journal, May 2017


Almost ideal behaviour in some type II superconducting alloys
journal, February 1967


Ginzburg-Landau vortex lattice in superconductor films of finite thickness
journal, January 2005


Intrinsic type-2 superconductivity in pure niobium
journal, October 1968


Magnetic moment of a slab of type-I superconductor: Theoretical model and experiment
journal, September 2014


Magnetization of a superconducting film in a perpendicular magnetic field
journal, August 2008


The direct observation of individual flux lines in type II superconductors
journal, May 1967


Properties of the ideal Ginzburg-Landau vortex lattice
journal, August 2003


Magnetic flux density and the critical field in the intermediate state of type-I superconductors
journal, March 2014


    Works referencing / citing this record:

    The direct observation of individual flux lines in type II superconductors
    journal, May 1967


    Studies of niobium thin film produced by energetic vacuum deposition
    journal, October 2005


    Mise en evidence par diffraction de neutrons d'une structure periodique du champ magnetique dans le niobium supraconducteur
    journal, April 1964


    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
    • DOI: 10.1038/nphys3146

    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
    • DOI: 10.1016/j.nima.2004.09.003

    The flux-line lattice in superconductors
    journal, November 1995