Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model

doi:10.1007/s10948-018-4622-y

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:

Kozhevnikov, V. ^[1]; Valente-Feliciano, A. -M. ^[2]; Curran, P. J. ^[3]; Richter, G. ^[4]; Volodin, A. ^[5]; Suter, A. ^[6]; Bending, S. J. ^[3]; Van Haesendonck, C. ^[5]

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:: 2018-03-05

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.

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                    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.

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                    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.

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@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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DOI: 10.1007/s10948-018-4622-y

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Works referenced in this record:

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

Chang, G. K.; Kinsel, T.; Serin, B.
Physics Letters, Vol. 5, Issue 1
DOI: 10.1016/S0375-9601(63)80005-5

The flux-line lattice in superconductors
journal, November 1995

Brandt, E. H.
Reports on Progress in Physics, Vol. 58, Issue 11
DOI: 10.1088/0034-4885/58/11/003

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

Blatter, G.; Feigel'man, M. V.; Geshkenbein, V. B.
Reviews of Modern Physics, Vol. 66, Issue 4
DOI: 10.1103/RevModPhys.66.1125

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

Laver, M.; Forgan, E. M.; Brown, S. P.
Physical Review Letters, Vol. 96, Issue 16
DOI: 10.1103/PhysRevLett.96.167002

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

Livingston, J. D.
Physical Review, Vol. 129, Issue 5
DOI: 10.1103/PhysRev.129.1943

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

Niedermayer, Ch.; Forgan, E. M.; Glückler, H.
Physical Review Letters, Vol. 83, Issue 19
DOI: 10.1103/PhysRevLett.83.3932

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

Magnetic field distribution and characteristic fields of the vortex lattice for a clean superconducting niobium sample in an external field applied along a three-fold axis
journal, May 2014

Yaouanc, A.; Maisuradze, A.; Nakai, N.
Physical Review B, Vol. 89, Issue 18
DOI: 10.1103/PhysRevB.89.184503

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

Brandt, Ernst Helmut
Physical Review Letters, Vol. 78, Issue 11
DOI: 10.1103/PhysRevLett.78.2208

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
DOI: 10.1016/0031-9163(64)90096-4

Transverse Magnetization of In—Sn Films
journal, January 1964

Miller, P. B.; Kington, B. W.; Quinn, D. J.
Reviews of Modern Physics, Vol. 36, Issue 1
DOI: 10.1103/RevModPhys.36.70

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

Wu, G.; Valente, A. -M.; Phillips, H. L.
Thin Solid Films, Vol. 489, Issue 1-2
DOI: 10.1016/j.tsf.2005.04.099

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

Kozhevnikov, V.; Valente-Feliciano, A. -M.; Curran, P. J.
Physical Review B, Vol. 95, Issue 17
DOI: 10.1103/PhysRevB.95.174509

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

French, R. A.; Lowell, J.; Mendelssohn, K.
Cryogenics, Vol. 7, Issue 1-4
DOI: 10.1016/S0011-2275(67)80034-1

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

Brandt, Ernst Helmut
Physical Review B, Vol. 71, Issue 1
DOI: 10.1103/PhysRevB.71.014521

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

French, R. A.
Cryogenics, Vol. 8, Issue 5
DOI: 10.1016/S0011-2275(68)80007-4

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

Kozhevnikov, V.; Van Haesendonck, C.
Physical Review B, Vol. 90, Issue 10
DOI: 10.1103/PhysRevB.90.104519

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

Doria, Mauro M.; Brandt, Ernst Helmut; Peeters, F. M.
Physical Review B, Vol. 78, Issue 5
DOI: 10.1103/PhysRevB.78.054407

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
DOI: 10.1016/0375-9601(67)90819-5

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

Brandt, Ernst Helmut
Physical Review B, Vol. 68, Issue 5
DOI: 10.1103/PhysRevB.68.054506

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

Kozhevnikov, V.; Wijngaarden, R. J.; de Wit, J.
Physical Review B, Vol. 89, Issue 10
DOI: 10.1103/PhysRevB.89.100503

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
DOI: 10.1016/0375-9601(67)90819-5

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
DOI: 10.1016/j.tsf.2005.04.099

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
DOI: 10.1016/0031-9163(64)90096-4

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

Brandt, E. H.
Reports on Progress in Physics, Vol. 58, Issue 11
DOI: 10.1088/0034-4885/58/11/003

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Title: Equilibrium Properties of the Mixed State in Superconducting Niobium in a Transverse Magnetic Field: Experiment and Theoretical Model

Abstract

Citation Formats

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

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

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

Magnetic field distribution and characteristic fields of the vortex lattice for a clean superconducting niobium sample in an external field applied along a three-fold axis journal, May 2014

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

Rayleigh instability of confined vortex droplets in critical superconductors journal, November 2014

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

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

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

Surface superconductivity in niobium for superconducting RF cavities journal, February 2005

The flux-line lattice in superconductors journal, November 1995

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

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

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

Magnetic field distribution and characteristic fields of the vortex lattice for a clean superconducting niobium sample in an external field applied along a three-fold axis
journal, May 2014

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

Rayleigh instability of confined vortex droplets in critical superconductors
journal, November 2014

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

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

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

Surface superconductivity in niobium for superconducting RF cavities
journal, February 2005

The flux-line lattice in superconductors
journal, November 1995