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Area of Science:

  • Condensed matter physics
  • Materials science
  • Statistical physics

Background:

  • Hyperuniform materials possess large-scale density uniformity, exhibiting properties of both crystals and liquids.
  • These materials are of interest for their exceptional physical properties.
  • Synthesizing hyperuniform materials experimentally requires understanding finite-size effects.

Purpose of the Study:

  • To investigate the impact of finite-size effects on hyperuniformity in experimental systems.
  • To use vortex matter in type-II superconductors as a model system to study hyperuniformity.
  • To explore how sample thickness influences the hyperuniform order in vortex matter.

Main Methods:

  • Experimental synthesis of vortex matter in type-II superconductors with varying sample thicknesses.
  • Characterization of hyperuniformity using density fluctuation analysis.
  • Application of hydrodynamic arguments and approximations to describe observed phenomena.

Main Results:

  • Vortex matter in type-II superconductors with point disorder was confirmed to be hyperuniform.
  • Decreasing the thickness of the vortex system led to a depletion of hyperuniform order.
  • Two thickness-dependent crossovers were identified, influencing hyperuniformity at different length scales.

Conclusions:

  • Sample thickness is a critical factor controlling the emergence and depletion of hyperuniformity.
  • Finite-size effects, particularly thickness, must be considered when designing hyperuniform structures for applications.
  • A novel mechanism for thickness-controlled hyperuniformity has been identified in vortex matter systems.