Finite-size and quenching effects on hyperuniform structures formed during cooling
Phys. Rev. B 113, 024112 – Published 21 January, 2026
DOI: https://doi.org/10.1103/w3xg-tmv8
Abstract
The outstanding physical properties of hyperuniform condensed matter systems hold significant promise for technological applications and studying effects that may disrupt this hidden order is therefore very important. Vortex matter in superconductors is a model system to study this problem since imaging experiments have revealed that correlated disorder in the host media and finite-size effects disrupt the hyperuniformity of the in-plane arrangement of vortices. Here we report simulations of layered interacting elastic lines as a model for the vortex lattice in three-dimensional superconductors, following a cooling protocol that closely mimics the experimental conditions. We show that finite-thickness effects limiting the hyperuniformity range arise both in equilibrium and out of equilibrium. Our results provide a theoretical framework to draw a realistic road-map on synthesizing hyperuniform materials when cooling structures on finite host media with disorder.
