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Delocalization induced by enhanced hyperuniformity in one-dimensional disordered systems

Junmo Jeon1,*, Harukuni Ikeda2,†, and Shiro Sakai1,‡

  • *Contact author: junmojeon@sophia.ac.jp
  • †Contact author: harukuni.ikeda@yukawa.kyoto-u.ac.jp
  • ‡Contact author: shirosakai@sophia.ac.jp

Phys. Rev. B 113, L020201 – Published 15 January, 2026

DOI: https://doi.org/10.1103/mmw9-lvzd

Abstract

In one dimension, any disorder is traditionally believed to localize all states. We show that this paradigm breaks down under disorder with enhanced hyperuniformity, which suppresses long-wavelength fluctuations and interpolates between random and periodic potentials. In tight-binding chains, strong hyperuniformity induces a sharp delocalization transition and the emergence of mobility edges. The transition is identified by the generalized fractal dimension and corroborated by the scaling of localization length and transmittance. Hyperuniform disorder thus provides a general mechanism for engineering mobility edges and controlling transport in low dimensions.

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