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Optimization of vortex pinning by nanoparticles using simulations of the time-dependent Ginzburg-Landau model

2015/09/30 by A. E. Koshelev, I. A. Sadovskyy, Ivan Sadovskyy +4 · 1 citation
Mathematics · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Coherence length #Condensed matter physics #Critical current #Current (fluid) #Current density #Field (mathematics) #Geology #Length scale #Magnetic field #Magnetic nanoparticles #Magnetic properties of thin films #Materials science #Mathematics #Mechanics #Nanoparticle #Nanotechnology #Particle (ecology) #Physics #Physics of Superconductivity and Magnetism #Pinning force #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Superconductivity #Thermodynamics #Vortex #cond-mat.mtrl-sci #cond-mat.soft #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.93.060508

published as Phys. Rev. B 93, 060508 (2016) · 6 pages, 3 figures

arxiv created 2015/10/01 · openalex publication_date 2016/02/29 · arxiv updated 2016/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Incorporating nanoparticles into superconducting materials has emerged as an efficient route to enhance their current-carrying capability. However, a thorough understanding of how these inclusions can be used in the most efficient way is still lacking. We address this problem of optimizing the vortex pinning landscape for randomly distributed metallic spherical inclusions using systematic large-scale numerical simulations of time-dependent Ginzburg-Landau equations. This approach allows us to predict the size and density of particles for which the highest critical current is realized. For a given particle size and magnetic field, the critical current reaches a maximum value at a particle density, which typically corresponds to 15%--23% of the total volume being replaced by the nonsuperconducting material. For a fixed diameter, this optimal particle density increases with the magnetic field. Moreover, we found that, as the magnetic field increased, the optimal particle diameter slowly decreases from 4.5 to 2.5 coherence lengths. This result shows that pinning landscapes have to be designed for specific applications taking into account relevant magnetic field scales.

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