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Title: 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 » 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.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Univ. of Chicago, IL (United States). Computation Inst.
  3. 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 Laboratory (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 = {Mon Nov 27 00:00:00 EST 2017},
month = {Mon Nov 27 00:00:00 EST 2017}
}

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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


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
  • DOI: 10.1038/srep38677

The flux-line lattice in superconductors
journal, November 1995


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
  • DOI: 10.1038/nmat2408

High-Performance High-Tc Superconducting Wires
journal, March 2006


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
  • DOI: 10.1063/1.4769836

Strong flux pinning in YBa 2 Cu 3 O 7−δ thin films due to nanometer-sized precipitates
journal, October 2008


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
  • DOI: 10.1088/0953-2048/18/11/021

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
  • DOI: 10.1016/j.physc.2003.11.046

High pinning performance of YBa 2 Cu 3 O 7−x films added with Y 2 O 3 nanoparticulate defects
journal, December 2014


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
  • DOI: 10.1038/nmat1893

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
  • DOI: 10.1063/1.4731204

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
  • DOI: 10.1140/epjb/e2013-31101-x

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
  • DOI: 10.1063/1.1766394

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
  • DOI: 10.1063/1.5001273

Time-dependent Ginzburg-Landau simulations of vortex guidance by twin boundaries
journal, May 1996


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
  • DOI: 10.1063/1.4935335

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
  • DOI: 10.1038/ncomms3499

Challenges and Opportunities for Applications of Unconventional Superconductors
journal, March 2014


Second-Generation High-Temperature Superconductor Wires for the Electric Power Grid
journal, August 2012


Coated conductors for power applications: materials challenges
journal, March 2014


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
  • DOI: 10.1016/j.jcp.2015.04.002

Critical current density and vortex dynamics in pristine and proton-irradiated Ba 0.6 K 0.4 Fe 2 As 2
journal, June 2015


Optimization of vortex pinning by nanoparticles using simulations of the time-dependent Ginzburg-Landau model
journal, February 2016


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
  • DOI: 10.1063/1.4829524

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
  • DOI: 10.1063/1.4821440

Toward Superconducting Critical Current by Design
journal, March 2016

  • Sadovskyy, Ivan A.; Jia, Ying; Leroux, Maxime
  • Advanced Materials, Vol. 28, Issue 23
  • DOI: 10.1002/adma.201600602

Addition of nanoparticle dispersions to enhance flux pinning of the YBa2Cu3O7-x superconductor
journal, August 2004


Thickness dependence of magnetic relaxation and E-J 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
  • DOI: 10.1103/PhysRevB.84.024519

Mixed pinning landscape in nanoparticle-introduced YGdBa2Cu3Oy films grown by metal organic deposition
journal, May 2011


Enhancement of critical current density and vortex activation energy in proton-irradiated Co-doped BaFe 2 As 2
journal, September 2012


Pinning in type II superconductors
journal, February 1979

  • Larkin, A. I.; Ovchinnikov, Yu. N.
  • Journal of Low Temperature Physics, Vol. 34, Issue 3-4
  • DOI: 10.1007/BF00117160

Pinning in layered inhomogeneous superconductors
journal, April 1991


Weak to Strong Pinning Crossover
journal, February 2004


Dynamical Aspects of Strong Pinning of Magnetic Vortices in Type-II Superconductors
journal, May 2012


Campbell Response in Type-II Superconductors under Strong Pinning Conditions
journal, November 2015


Probing the pinning landscape in type-II superconductors via Campbell penetration depth
journal, February 2016


Vortices in high-temperature superconductors
journal, October 1994


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
  • DOI: 10.1007/BF00685776

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
  • DOI: 10.1007/BF00685777

Anisotropic scaling in threshold critical dynamics of driven directed lines
journal, February 1996


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
  • DOI: 10.1103/PhysRevB.75.024506

Depinning and Creep Motion in Glass States of Flux Lines
journal, June 2007


Theory and simulations on strong pinning of vortex lines by nanoparticles
journal, September 2011


Relaxation dynamics of vortex lines in disordered type-II superconductors following magnetic field and temperature quenches
journal, November 2015


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
  • DOI: 10.1007/BF02422669

Solving the Ginzburg-Landau equations by simulated annealing
journal, April 1990


Nucleation and Growth of the Normal Phase in Thin Superconducting Strips
journal, January 1996


Numerical simulations of driven vortex systems
journal, January 2000


Vortex-induced negative magnetoresistance and peak effect in narrow superconducting films
journal, July 2013


Dynamics of current-driven phase-slip centers in superconducting strips
journal, August 2014


Simulation of the Vortex Dynamics in a Real Pinning Landscape of YBa 2 Cu 3 O 7 δ Coated Conductors
journal, January 2016


Effect of hexagonal patterned arrays and defect geometry on the critical current of superconducting films
journal, February 2017


Vortex cutting in superconductors
journal, August 2016


Anisotropic superconductors in tilted magnetic fields
journal, June 2015


In silico optimization of critical currents in superconductors
journal, July 2017


Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field
journal, February 2015


Pinning in layered inhomogeneous superconductors
journal, January 1992


Relaxation dynamics in type-II superconductors with point-like and correlated disorder
text, January 2012


Campbell response in type II superconductors under strong pinning conditions
text, January 2015


Probing the pinning landscape in type-II superconductors via Campbell penetration depth
text, January 2015


Weak- to strong pinning crossover
text, January 2003


Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
text, January 2006


The Flux-Line Lattice in Superconductors
text, January 1995


Critical current density and vortex dynamics in pristine and proton-irradiated Ba 0.6 K 0.4 Fe 2 As 2
journal, June 2015


Pinning in layered inhomogeneous superconductors
journal, January 1992


Theory and simulations on strong pinning of vortex lines by nanoparticles
text, January 2011


Relaxation dynamics in type-II superconductors with point-like and correlated disorder
text, January 2012


Campbell response in type II superconductors under strong pinning conditions
text, January 2015


Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
text, January 2006


Nucleation and Growth of Normal Phase in Thin Superconducting Strips
text, January 1995


Works referencing / citing this record:

Accelerated vortex dynamics across the magnetic 3D-to-2D crossover in disordered superconductors
journal, August 2018


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
  • DOI: 10.1007/s10948-019-05389-x

Edge effect pinning in mesoscopic superconducting strips with non-uniform distribution of defects
journal, January 2019


Strong pinning theory of thermal vortex creep in type-II superconductors
journal, July 2019


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
  • DOI: 10.1007/s10948-019-05255-w

Experimental test of strong pinning and creep in current-voltage characteristics of type-II superconductors
journal, December 2019


Thermal creep induced by cooling a superconducting vortex lattice
journal, February 2020


Intrinsic anisotropy versus effective pinning anisotropy in YB a 2 C u 3 O 7 thin films and nanocomposites
journal, August 2019


Thermal creep induced by cooling a superconducting vortex lattice
text, January 2020


Strong pinning theory of thermal vortex creep in type II superconductors
text, January 2019


The quest for high critical current in applied high-temperature superconductors
text, January 2019


Edge effect pinning in mesoscopic superconducting strips with non-uniform distribution of defects
text, January 2018