Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910006166683648 |
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| author | Chen, Zhangyuan Idrees, Muhammad Yang, Ying Tong, Xianqi Yang, Xiaosen |
| author_facet | Chen, Zhangyuan Idrees, Muhammad Yang, Ying Tong, Xianqi Yang, Xiaosen |
| contents | 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 an exactly solvable quasiperiodic critical phase with no energy selectivity. We introduce a non-Hermitian quasiperiodic lattice based on a modulated Hatano-Nelson model and uncover a new 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 this criticality persists in multiband lattices, establishing a general and analytically controlled framework for non-Hermitian quasiperiodic critical phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_23015 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal Chen, Zhangyuan Idrees, Muhammad Yang, Ying Tong, Xianqi Yang, Xiaosen Mesoscale and Nanoscale Physics Quantum Physics 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 an exactly solvable quasiperiodic critical phase with no energy selectivity. We introduce a non-Hermitian quasiperiodic lattice based on a modulated Hatano-Nelson model and uncover a new 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 this criticality persists in multiband lattices, establishing a general and analytically controlled framework for non-Hermitian quasiperiodic critical phenomena. |
| title | Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2601.23015 |