Hyperuniformity in Type-II Superconductors with Point and Planar Defects

Abstract: We use vortex matter in type-II superconductors as a playground to study how different types of disorder affect the long wavelength density fluctuations of the system. We find that irrespective of the vortex-vortex interaction, in the case of samples with weak and dense point defects the system presents the hidden order of hyperuniformity characterized by an algebraic suppression of density fluctuations when increasing the system size. We also reveal that, on the contrary, for samples with planar defects hyperuniformity is suppressed since density fluctuations have a tendency to unboundedness on increasing the system size. Although some of these results were known from previous works, this paper makes the fundamental discovery that the ability of planar disorder to suppress hyperuniformity grows on increasing the softness of the structure for more diluted systems.