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Disordered hyperuniformity is a state of matter which has isotropic liquidlike properties while simultaneously having crystalline like properties such aslittle variation in the density fluctuations over long distances. Such statesarise for the packing of photoreceptor cells in chicken eyes, jammed particleassemblies, and in nonequilibrium systems. An open question is what possibleapplications could utilize properties of hyperuniformity. One of the majorissues for applications of type-II superconductors is how to achieve highcritical currents by preventing the motion or depinning of vortices, so thereis great interest in understanding which pinning site geometries will lead tothe optimal pinning of vortices. Here, using large scale computationalsimulations, we show that vortices in a type-II superconductor with ahyperuniform pinning arrangement exhibit enhanced pinning compared to an equalnumber of pinning sites with a purely random arrangement, and that theenhancement is robust over a wide range of parameters. The stronger pinningarises in the hyperuniform arrays due to the suppression of pinning densityfluctuations, permitting higher pin occupancy and the reduction of weak linksthat lead to easy flow channeling. We also show that in general, in amorphousvortex states in the presence of either random or hyperuniform pinning arrays,the vortices themselves exhibit disordered hyperuniformity due to the repulsivenature of the vortex-vortex interactions.

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