Hyperuniform vortex patterns at the surface of type-II superconductors

@article{Rumi2019HyperuniformVP,
  title={Hyperuniform vortex patterns at the surface of type-II superconductors},
  author={Gonzalo Rumi and Jazm{\'i}n Arag{\'o}n S{\'a}nchez and Federico Elias and Ra{\'u}l Cort{\'e}s Maldonado and Joaqu'in Puig and N{\'e}stor Ren{\'e} Cejas Bolecek and G. Nieva and Marcin Konczykowski and Yanina Fasano and Alejandro B. Kolton},
  journal={Physical Review Research},
  year={2019}
}
A many-particle system must posses long-range interactions in order to be hyperuniform at thermal equilibrium. Hydrodynamic arguments and numerical simulations show, nevertheless, that a three-dimensional elastic-line array with short-ranged repulsive interactions, such as vortex matter in a type-II superconductor, forms at equilibrium a class-II hyperuniform two-dimensional point pattern for any constant-$z$ cross section. In this case, density fluctuations vanish isotropically as $\sim q… 

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