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    Quasiperiodic skin criticality in an exactly solvable non-Hermitian quasicrystal

    Zhangyuan Chen, Muhammad Idrees, Ying Yang, Xianqi Tong*, and Xiaosen Yang†

    • *Contact author: xqtong@ujs.edu.cn
    • †Contact author: yangxs@ujs.edu.cn

    Phys. Rev. B 113, 235423 – Published 17 June, 2026

    DOI: https://doi.org/10.1103/wlsw-zyq9

    Abstract

    Critical states in quasiperiodic systems defy the conventional dichotomy between extended and localized states. In this work, we demonstrate that non-Hermiticity fundamentally reshapes this paradigm by giving rise to a class of quasiperiodic skin criticality. We introduce a non-Hermitian quasiperiodic lattice based on a modulated Hatano-Nelson model and uncover a universality class of quasiperiodic skin criticality, in which all eigenstates share an identical multifractal spatial structure. Through a nonunitary gauge transformation, the system is mapped onto a disorder-free lattice, enabling exact analytical solutions for the full spectrum and eigenstates. As a consequence, the inverse participation ratio is strictly energy independent and controlled solely by a global phase. We further show that these collective critical features persist in multiband lattices, establishing a general and analytically controlled framework for non-Hermitian quasiperiodic criticality.

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