Quasiperiodic skin criticality in an exactly solvable non-Hermitian quasicrystal
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.