Enhanced Pinning For Vortices in Hyperuniform Substrates and Emergent Hyperuniform Vortex States

Abstract

Disordered hyperuniformity is a state of matter which has isotropic liquid like properties while simultaneously having crystalline like properties such as little variation in the density fluctuations over long distances. Such states arise for the packing of photoreceptor cells in chicken eyes, jammed particle assemblies, and in nonequilibrium systems. An open question is what possible applications could utilize properties of hyperuniformity. One of the major issues for applications of type-II superconductors is how to achieve high critical currents by preventing the motion or depinning of vortices, so there is great interest in understanding which pinning site geometries will lead to the optimal pinning of vortices. Here, using large scale computational simulations, we show that vortices in a type-II superconductor with a hyperuniform pinning arrangement exhibit enhanced pinning compared to an equal number of pinning sites with a purely random arrangement, and that the enhancement is robust over a wide range of parameters. The stronger pinning arises in the hyperuniform arrays due to the suppression of pinning density fluctuations, permitting higher pin occupancy and the reduction of weak links that lead to easy flow channeling. We also show that in general, in amorphous vortex states in the presence of either random or hyperuniform pinning arrays, the vortices themselves exhibit disordered hyperuniformity due to the repulsive nature of the vortex-vortex interactions.

8 pages, 8 figures

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• The quest for high critical current in applied high-temperature superconductors
• Nonlinear Transport, Dynamic Ordering, and Clustering for Driven Skyrmions on Random Pinning
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• Disordered hyperuniformity in superconducting vortex lattices
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• A minimal statistical-mechanical model for multihyperuniform patterns in avian retina
• Persistent homology and topological statistics of hyperuniform point clouds
• Hyperuniform Jammed Sphere Packings Have Anomalous Material Properties
• Skyrmion Dynamics and Transverse Mobility: Skyrmion Hall Angle Reversal on 2D Periodic Substrates with dc and Biharmonic ac Drives
• Hyperuniformity Classes of Quasiperiodic Tilings via Diffusion Spreadability
• Thermal hysteresis of the Campbell response as a probe for bulk pinscape spectroscopy
• Enhancing the effective critical current density in a Nb superconducting thin film by cooling in an inhomogeneous magnetic field
• Uncovering liquid-substrate fluctuation effects on crystal growth and disordered hyperuniformity of two-dimensional materials
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• Vortex Dynamics in Tubular Fluid Membranes
• Vortex Ordering and Dynamics on Santa Fe Artificial Ice Pinning Arrays
• Brownian dynamics study of driven partially pinned solid in the presence of square array of pinning centers: Enhanced pinning close to the melting transition
• Predictive Formulas for Scattering Mean Free Path for General Disordered Dielectric Media Beyond the Long-Wavelength Regime