Size-dependent critical localization

• URL: http://arxiv.org/abs/2509.18943v2
• Date: Thu, 25 Sep 2025 08:46:59 GMT
• Title: Size-dependent critical localization
• Authors: Hui-Qiang Liang, Linhu Li, Guo-Fu Xu,
• Abstract summary: In this Letter, we predict an exotic type of critical state, termed size-dependent critical states.<n>We establish that the physical origin of size-dependent critical states lies in the synergistic interplay between local non-reciprocal domain wall and NHSE.<n>By revealing a critical phase that challenges the established paradigm of critical localization, our work opens new avenues for exploring localization phenomena in quasiperiodic systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Studying critical states in quasiperiodic systems is of great importance in localization physics. Previously identified critical states share a common characteristic: they exhibit persistent critical features in the thermodynamic limit. In this Letter, we predict an exotic type of critical state, termed size-dependent critical states, which exhibit a fundamentally distinct behavior. Specifically, they display critical localization signatures only at finite sizes, but transition to Anderson localization in the thermodynamic limit. We establish that the physical origin of size-dependent critical states lies in the synergistic interplay between local non-reciprocal domain wall and NHSE. By revealing a critical phase that challenges the established paradigm of critical localization, our work opens new avenues for exploring localization phenomena in quasiperiodic systems.

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