Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors
Abstract
The current-carrying capacity of type-II superconductors is decisively determined by how well material defect structures can immobilize vortex lines. In order to gain deeper insights into intrinsic pinning mechanisms, we have explored the case of vortex trapping by randomly distributed spherical inclusions using large-scale simulations of the time-dependent Ginzburg-Landau equations. We find that for a small density of particles having diameters of two coherence lengths, the vortex lattice preserves its structure and the critical current jc decays with the magnetic field following a power-law B-a with a ≈ 0.66, which is consistent with predictions of strong pinning theory. For higher density of particles and/or larger inclusions, the lattice becomes progressively more disordered and the exponent smoothly decreases down to a ≈ 0.3. At high magnetic fields, all inclusions capture a vortex and the critical current decays faster than B-1 as would be expected by theory. In the case of larger inclusions with diameter of four coherence length, the magnetic-field dependence of the critical current is strongly affected by the ability of inclusions to capture multiple vortex lines. We found that at small densities, the fraction of inclusions trapping two vortex lines rapidly grows within narrow field range leading to amore »
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Univ. of Chicago, IL (United States). Computation Inst.
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Northern Illinois Univ., DeKalb, IL (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); Swiss National Science Foundation (SNSF)
- OSTI Identifier:
- 1413988
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Superconductor Science and Technology
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 1; Journal ID: ISSN 0953-2048
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; critical currents; numerical simulations; theory of strong pinning; time-dependent Ginzburg–Landau model; vortex pinning
Citation Formats
Willa, R., Koshelev, A. E., Sadovskyy, I. A., and Glatz, A. Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors. United States: N. p., 2017.
Web. doi:10.1088/1361-6668/aa939e.
Willa, R., Koshelev, A. E., Sadovskyy, I. A., & Glatz, A. Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors. United States. https://doi.org/10.1088/1361-6668/aa939e
Willa, R., Koshelev, A. E., Sadovskyy, I. A., and Glatz, A. Mon .
"Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors". United States. https://doi.org/10.1088/1361-6668/aa939e. https://www.osti.gov/servlets/purl/1413988.
@article{osti_1413988,
title = {Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors},
author = {Willa, R. and Koshelev, A. E. and Sadovskyy, I. A. and Glatz, A.},
abstractNote = {The current-carrying capacity of type-II superconductors is decisively determined by how well material defect structures can immobilize vortex lines. In order to gain deeper insights into intrinsic pinning mechanisms, we have explored the case of vortex trapping by randomly distributed spherical inclusions using large-scale simulations of the time-dependent Ginzburg-Landau equations. We find that for a small density of particles having diameters of two coherence lengths, the vortex lattice preserves its structure and the critical current jc decays with the magnetic field following a power-law B-a with a ≈ 0.66, which is consistent with predictions of strong pinning theory. For higher density of particles and/or larger inclusions, the lattice becomes progressively more disordered and the exponent smoothly decreases down to a ≈ 0.3. At high magnetic fields, all inclusions capture a vortex and the critical current decays faster than B-1 as would be expected by theory. In the case of larger inclusions with diameter of four coherence length, the magnetic-field dependence of the critical current is strongly affected by the ability of inclusions to capture multiple vortex lines. We found that at small densities, the fraction of inclusions trapping two vortex lines rapidly grows within narrow field range leading to a shallow peak in jc(B)-dependence within this range. With increasing inclusion density, this peak transforms into a plateau, which then smooths out. Using the insights gained from simulations, we determine the limits of applicability of strong pinning theory and provide different routes to describe vortex pinning beyond those bounds.},
doi = {10.1088/1361-6668/aa939e},
journal = {Superconductor Science and Technology},
number = 1,
volume = 31,
place = {United States},
year = {2017},
month = {11}
}
Web of Science
Works referenced in this record:
The effects of density and size of BaMO 3 (M=Zr, Nb, Sn) nanoparticles on the vortex glassy and liquid phase in (Y,Gd)Ba 2 Cu 3 O y coated conductors
journal, January 2013
- Miura, M.; Maiorov, B.; Willis, J. O.
- Superconductor Science and Technology, Vol. 26, Issue 3
Geometrical vortex lattice pinning and melting in YBaCuO submicron bridges
journal, December 2016
- Papari, G. P.; Glatz, A.; Carillo, F.
- Scientific Reports, Vol. 6, Issue 1
The flux-line lattice in superconductors
journal, November 1995
- Brandt, E. H.
- Reports on Progress in Physics, Vol. 58, Issue 11
Synergetic combination of different types of defect to optimize pinning landscape using BaZrO3-doped YBa2Cu3O7
journal, April 2009
- Maiorov, B.; Baily, S. A.; Zhou, H.
- Nature Materials, Vol. 8, Issue 5
4-fold enhancement in the critical current density of YBa 2 Cu 3 O 7 films by practical ion irradiation
journal, December 2012
- Matsui, H.; Ogiso, H.; Yamasaki, H.
- Applied Physics Letters, Vol. 101, Issue 23
Strong flux pinning in YBa 2 Cu 3 O 7−δ thin films due to nanometer-sized precipitates
journal, October 2008
- Yamasaki, H.; Ohki, K.; Yamada, H.
- Superconductor Science and Technology, Vol. 21, Issue 12
Strong influence of the oxygen stoichiometry on the vortex bundle size and critical current densities J c of GdBa 2 Cu 3 O x -coated conductors grown by co-evaporation
journal, August 2017
- Haberkorn, N.; Guimpel, J.; Suárez, S.
- Superconductor Science and Technology, Vol. 30, Issue 9
Irradiation-free, columnar defects comprised of self-assembled nanodots and nanorods resulting in strongly enhanced flux-pinning in YBa2Cu3O7−δ films
journal, October 2005
- Goyal, A; Kang, S; Leonard, K. J.
- Superconductor Science and Technology, Vol. 18, Issue 11, p. 1533-1538
Peak effect at the weak to strong pinning crossover
journal, May 2004
- Koopmann, J. A. G.; Geshkenbein, V. B.; Blatter, G.
- Physica C: Superconductivity, Vol. 404, Issue 1-4
High pinning performance of YBa 2 Cu 3 O 7−x films added with Y 2 O 3 nanoparticulate defects
journal, December 2014
- Mele, Paolo; Guzman, Roger; Gazquez, Jaume
- Superconductor Science and Technology, Vol. 28, Issue 2
Strong isotropic flux pinning in solution-derived YBa2Cu3O7−x nanocomposite superconductor films
journal, April 2007
- Gutiérrez, J.; Llordés, A.; Gázquez, J.
- Nature Materials, Vol. 6, Issue 5
High, magnetic field independent critical currents in (Ba,K)Fe 2 As 2 crystals
journal, July 2012
- Fang, L.; Jia, Y.; Chaparro, C.
- Applied Physics Letters, Vol. 101, Issue 1
Relaxation dynamics in type-II superconductors with point-like and correlated disorder
journal, May 2013
- Dobramysl, Ulrich; Assi, Hiba; Pleimling, Michel
- The European Physical Journal B, Vol. 86, Issue 5
Systematic enhancement of in-field critical current density with rare-earth ion size variance in superconducting rare-earth barium cuprate films
journal, June 2004
- MacManus-Driscoll, J. L.; Foltyn, S. R.; Jia, Q. X.
- Applied Physics Letters, Vol. 84, Issue 26
Isotropic enhancement in the critical current density of YBCO thin films incorporating nanoscale Y 2 BaCuO 5 inclusions
journal, September 2017
- Jha, Alok K.; Matsumoto, Kaname; Horide, Tomoya
- Journal of Applied Physics, Vol. 122, Issue 9
Time-dependent Ginzburg-Landau simulations of vortex guidance by twin boundaries
journal, May 1996
- Crabtree, G. W.; Leaf, G. K.; Kaper, H. G.
- Physica C: Superconductivity, Vol. 263, Issue 1-4
Rapid doubling of the critical current of YBa2Cu3O7−δ coated conductors for viable high-speed industrial processing
journal, November 2015
- Leroux, M.; Kihlstrom, K. J.; Holleis, S.
- Applied Physics Letters, Vol. 107, Issue 19
Strongly enhanced flux pinning in one-step deposition of BaFe2(As0.66P0.33)2 superconductor films with uniformly dispersed BaZrO3 nanoparticles
journal, September 2013
- Miura, Masashi; Maiorov, Boris; Kato, Takeharu
- Nature Communications, Vol. 4, Issue 1
Challenges and Opportunities for Applications of Unconventional Superconductors
journal, March 2014
- Gurevich, Alex
- Annual Review of Condensed Matter Physics, Vol. 5, Issue 1
Second-Generation High-Temperature Superconductor Wires for the Electric Power Grid
journal, August 2012
- Malozemoff, A. P.
- Annual Review of Materials Research, Vol. 42, Issue 1
Coated conductors for power applications: materials challenges
journal, March 2014
- Obradors, Xavier; Puig, Teresa
- Superconductor Science and Technology, Vol. 27, Issue 4
Stable large-scale solver for Ginzburg–Landau equations for superconductors
journal, August 2015
- Sadovskyy, I. A.; Koshelev, A. E.; Phillips, C. L.
- Journal of Computational Physics, Vol. 294
Critical current density and vortex dynamics in pristine and proton-irradiated Ba 0.6 K 0.4 Fe 2 As 2
journal, June 2015
- Taen, Toshihiro; Ohtake, Fumiaki; Pyon, Sunseng
- Superconductor Science and Technology, Vol. 28, Issue 8
High-field critical current enhancement by irradiation induced correlated and random defects in (Ba 0.6 K 0.4 )Fe 2 As 2
journal, November 2013
- Kihlstrom, K. J.; Fang, L.; Jia, Y.
- Applied Physics Letters, Vol. 103, Issue 20
Doubling the critical current density of high temperature superconducting coated conductors through proton irradiation
journal, September 2013
- Jia, Y.; LeRoux, M.; Miller, D. J.
- Applied Physics Letters, Vol. 103, Issue 12, Article No. 122601
Toward Superconducting Critical Current by Design
journal, March 2016
- Sadovskyy, Ivan A.; Jia, Ying; Leroux, Maxime
- Advanced Materials, Vol. 28, Issue 23
Addition of nanoparticle dispersions to enhance flux pinning of the YBa2Cu3O7-x superconductor
journal, August 2004
- Haugan, T.; Barnes, P. N.; Wheeler, R.
- Nature, Vol. 430, Issue 7002
Thickness dependence of magnetic relaxation and - characteristics in superconducting (Gd-Y)-Ba-Cu-O films with strong vortex pinning
journal, July 2011
- Polat, Ö.; Sinclair, J. W.; Zuev, Y. L.
- Physical Review B, Vol. 84, Issue 2, Article No. 024519
Mixed pinning landscape in nanoparticle-introduced YGdBaCuO films grown by metal organic deposition
journal, May 2011
- Miura, M.; Maiorov, B.; Baily, S. A.
- Physical Review B, Vol. 83, Issue 18, Article No. 184519
Artificial and self-assembled vortex-pinning centers in superconducting Ba(Fe Co ) As thin films as a route to obtaining very high critical-current densities
journal, December 2012
- Tarantini, C.; Lee, S.; Kametani, F.
- Physical Review B, Vol. 86, Issue 21
Enhancement of critical current density and vortex activation energy in proton-irradiated Co-doped
journal, September 2012
- Taen, Toshihiro; Nakajima, Yasuyuki; Tamegai, Tsuyoshi
- Physical Review B, Vol. 86, Issue 9
Influence of random point defects introduced by proton irradiation on critical current density and vortex dynamics of Ba(Fe Co ) As single crystals
journal, January 2012
- Haberkorn, N.; Maiorov, B.; Usov, I. O.
- Physical Review B, Vol. 85, Issue 1
Pinning in type II superconductors
journal, February 1979
- Larkin, A. I.; Ovchinnikov, Yu. N.
- Journal of Low Temperature Physics, Vol. 34, Issue 3-4
Pinning in layered inhomogeneous superconductors
journal, April 1991
- Ovchinnikov, Yu. N.; Ivlev, B. I.
- Physical Review B, Vol. 43, Issue 10, p. 8024-8029
Weak to Strong Pinning Crossover
journal, February 2004
- Blatter, G.; Geshkenbein, V. B.; Koopmann, J. A. G.
- Physical Review Letters, Vol. 92, Issue 6
Dynamical Aspects of Strong Pinning of Magnetic Vortices in Type-II Superconductors
journal, May 2012
- Thomann, A. U.; Geshkenbein, V. B.; Blatter, G.
- Physical Review Letters, Vol. 108, Issue 21
Campbell Response in Type-II Superconductors under Strong Pinning Conditions
journal, November 2015
- Willa, R.; Geshkenbein, V. B.; Prozorov, R.
- Physical Review Letters, Vol. 115, Issue 20
Probing the pinning landscape in type-II superconductors via Campbell penetration depth
journal, February 2016
- Willa, R.; Geshkenbein, V. B.; Blatter, G.
- Physical Review B, Vol. 93, Issue 6
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
Computer simulation of vortex pinning in type II superconductors. I. Two-dimensional simulation
journal, October 1983
- Brandt, E. H.
- Journal of Low Temperature Physics, Vol. 53, Issue 1-2
Computer simulation of vortex pinning in type II superconductors. II. Random point pins
journal, October 1983
- Brandt, E. H.
- Journal of Low Temperature Physics, Vol. 53, Issue 1-2
Anisotropic scaling in threshold critical dynamics of driven directed lines
journal, February 1996
- Ertaş, Deniz; Kardar, Mehran
- Physical Review B, Vol. 53, Issue 6
Langevin simulations of the out-of-equilibrium dynamics of vortex glasses in high-temperature superconductors
journal, January 2007
- Bustingorry, Sebastian; Cugliandolo, Leticia F.; Domínguez, Daniel
- Physical Review B, Vol. 75, Issue 2
Depinning and Creep Motion in Glass States of Flux Lines
journal, June 2007
- Luo, Meng-Bo; Hu, Xiao
- Physical Review Letters, Vol. 98, Issue 26
Theory and simulations on strong pinning of vortex lines by nanoparticles
journal, September 2011
- Koshelev, A. E.; Kolton, A. B.
- Physical Review B, Vol. 84, Issue 10, Article No. 104528
Relaxation dynamics of vortex lines in disordered type-II superconductors following magnetic field and temperature quenches
journal, November 2015
- Assi, Hiba; Chaturvedi, Harshwardhan; Dobramysl, Ulrich
- Physical Review E, Vol. 92, Issue 5
A time dependent Ginzburg-Landau equation and its application to the problem of resistivity in the mixed state
journal, October 1966
- Schmid, Albert
- Physik der Kondensierten Materie, Vol. 5, Issue 4
Solving the Ginzburg-Landau equations by simulated annealing
journal, April 1990
- Doria, M. M.; Gubernatis, J. E.; Rainer, D.
- Physical Review B, Vol. 41, Issue 10
Direct simulation of the time-dependent Ginzburg-Landau equation for type-II superconducting thin film: Vortex dynamics and V - I characteristics
journal, November 1993
- Machida, Masahiko; Kaburaki, Hideo
- Physical Review Letters, Vol. 71, Issue 19
Nucleation and Growth of the Normal Phase in Thin Superconducting Strips
journal, January 1996
- Aranson, I.; Shapiro, B. Ya.; Vinokur, V.
- Physical Review Letters, Vol. 76, Issue 1
Numerical simulations of driven vortex systems
journal, January 2000
- Crabtree, G. W.; Gunter, D. O.; Kaper, H. G.
- Physical Review B, Vol. 61, Issue 2
Time-dependent Ginzburg-Landau simulations of the voltage-current characteristic of type-II superconductors with pinning
journal, February 2002
- Winiecki, T.; Adams, C. S.
- Physical Review B, Vol. 65, Issue 10
Vortex-induced negative magnetoresistance and peak effect in narrow superconducting films
journal, July 2013
- Vodolazov, D. Y.
- Physical Review B, Vol. 88, Issue 1
Dynamics of current-driven phase-slip centers in superconducting strips
journal, August 2014
- Berdiyorov, G.; Harrabi, K.; Oktasendra, F.
- Physical Review B, Vol. 90, Issue 5
Simulation of the Vortex Dynamics in a Real Pinning Landscape of Coated Conductors
journal, January 2016
- Sadovskyy, I. A.; Koshelev, A. E.; Glatz, A.
- Physical Review Applied, Vol. 5, Issue 1
Effect of hexagonal patterned arrays and defect geometry on the critical current of superconducting films
journal, February 2017
- Sadovskyy, I. A.; Wang, Y. L.; Xiao, Z. -L.
- Physical Review B, Vol. 95, Issue 7
Vortex cutting in superconductors
journal, August 2016
- Glatz, A.; Vlasko-Vlasov, V. K.; Kwok, W. K.
- Physical Review B, Vol. 94, Issue 6
Anisotropic superconductors in tilted magnetic fields
journal, June 2015
- Vlasko-Vlasov, V. K.; Glatz, A.; Koshelev, A. E.
- Physical Review B, Vol. 91, Issue 22
Optimization of vortex pinning by nanoparticles using simulations of the time-dependent Ginzburg-Landau model
journal, February 2016
- Koshelev, A. E.; Sadovskyy, I. A.; Phillips, C. L.
- Physical Review B, Vol. 93, Issue 6
In silico optimization of critical currents in superconductors
journal, July 2017
- Kimmel, Gregory; Sadovskyy, Ivan A.; Glatz, Andreas
- Physical Review E, Vol. 96, Issue 1
Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field
journal, February 2015
- Phillips, Carolyn L.; Peterka, Tom; Karpeyev, Dmitry
- Physical Review E, Vol. 91, Issue 2
Pinning in layered inhomogeneous superconductors
journal, January 1992
- Ovchinnikov, Yu N.; Ivlev, B. I.
- Superconductor Science and Technology, Vol. 5, Issue 1S
Relaxation dynamics in type-II superconductors with point-like and correlated disorder
text, January 2012
- Dobramysl, Ulrich; Assi, Hiba; Pleimling, Michel
- arXiv
Doubling the Critical Current Density of High Temperature Superconducting Coated Conductors through Proton Irradiation
text, January 2013
- Jia, Y.; LeRoux, M.; Miller, D. J.
- arXiv
Challenges and opportunities for applications of unconventional superconductors
text, January 2013
- Gurevich, Alex
- arXiv
Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field
text, January 2015
- Phillips, C. L.; Peterka, T.; Karpeyev, D.
- arXiv
Campbell response in type II superconductors under strong pinning conditions
text, January 2015
- Willa, R.; Geshkenbein, V. B.; Prozorov, R.
- arXiv
Optimization of vortex pinning by nanoparticles using simulations of time-dependent Ginzburg-Landau model
text, January 2015
- Koshelev, A. E.; Sadovskyy, I. A.; Phillips, C. L.
- arXiv
Probing the pinning landscape in type-II superconductors via Campbell penetration depth
text, January 2015
- Willa, R.; Geshkenbein, V. B.; Blatter, G.
- arXiv
Weak- to strong pinning crossover
text, January 2003
- Blatter, G.; Geshkenbein, V. B.; Koopmann, J. A. G.
- arXiv
Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
text, January 2006
- Bustingorry, Sebastian; Cugliandolo, Leticia F.; Dominguez, Daniel
- arXiv
Depinning and creep motion in glass states of flux lines
text, January 2006
- Luo, Mengbo; Hu, Xiao
- arXiv
Anisotropic Scaling in Threshold Critical Dynamics of Driven Directed Lines
text, January 1995
- Ertas, Deniz; Kardar, Mehran
- arXiv
Works referencing / citing this record:
Accelerated vortex dynamics across the magnetic 3D-to-2D crossover in disordered superconductors
journal, August 2018
- Eley, Serena; Willa, Roland; Miura, Masashi
- npj Quantum Materials, Vol. 3, Issue 1
Paramagnetic Meissner Effect Observed in SrBi3 with κ Close to the Critical Regime
journal, January 2020
- Zhang, Luo-Zhao; Zhang, An-Lei; Lu, Wenlai
- Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 6
Edge effect pinning in mesoscopic superconducting strips with non-uniform distribution of defects
journal, January 2019
- Kimmel, Gregory J.; Glatz, Andreas; Vinokur, Valerii M.
- Scientific Reports, Vol. 9, Issue 1
The Quest for High Critical Current in Applied High-Temperature Superconductors
journal, September 2019
- Glatz, Andreas; Sadovskyy, Ivan A.; Welp, Ulrich
- Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1
Control of nanostructure and pinning properties in solution deposited YBa2Cu3O7−x nanocomposites with preformed perovskite nanoparticles
journal, April 2019
- Li, Ziliang; Coll, Mariona; Mundet, Bernat
- Scientific Reports, Vol. 9, Issue 1
Experimental test of strong pinning and creep in current-voltage characteristics of type-II superconductors
journal, December 2019
- Buchacek, M.; Xiao, Z. L.; Dutta, S.
- Physical Review B, Vol. 100, Issue 22
Thermal creep induced by cooling a superconducting vortex lattice
journal, February 2020
- Willa, Roland; Galvis, Jose Augusto; Benito-Llorens, Jose
- Physical Review Research, Vol. 2, Issue 1
Intrinsic anisotropy versus effective pinning anisotropy in thin films and nanocomposites
journal, August 2019
- Bartolomé, E.; Vallés, F.; Palau, A.
- Physical Review B, Vol. 100, Issue 5
Thermal creep induced by cooling a superconducting vortex lattice
text, January 2020
- Willa, Roland; Augusto Galvis, Jose; Benito-Llorens, Jose
- ETH Zurich
Accelerated vortex dynamics across the magnetic 3D-to-2D crossover in disordered superconductors
text, January 2017
- Eley, Serena; Willa, Roland; Miura, Masashi
- arXiv
Strong pinning theory of thermal vortex creep in type II superconductors
text, January 2019
- Buchacek, Martin; Geshkenbein, Vadim B.; Willa, Roland
- arXiv
Experimental test of strong pinning and creep in current-voltage characteristics of type II superconductors
text, January 2019
- Buchacek, Martin; Xiao, Zhi-Li; Dutta, Surajit
- arXiv
The quest for high critical current in applied high-temperature superconductors
text, January 2019
- Glatz, Andreas; Sadovskyy, Ivan A.; Welp, Ulrich
- arXiv