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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 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. https://doi.org/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}
}

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Dynamical Aspects of Strong Pinning of Magnetic Vortices in Type-II Superconductors
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Probing the pinning landscape in type-II superconductors via Campbell penetration depth
journal, February 2016


Vortices in high-temperature superconductors
journal, October 1994


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journal, October 1983

  • Brandt, E. H.
  • Journal of Low Temperature Physics, Vol. 53, Issue 1-2
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Computer simulation of vortex pinning in type II superconductors. II. Random point pins
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Anisotropic scaling in threshold critical dynamics of driven directed lines
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Langevin simulations of the out-of-equilibrium dynamics of vortex glasses in high-temperature superconductors
journal, January 2007

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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
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Solving the Ginzburg-Landau equations by simulated annealing
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journal, January 1996


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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


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


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


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