Topological metal-insulator transitions in one-dimensional non-Hermitian quasicrystals: beyond PT-symmetry

• URL: http://arxiv.org/abs/2605.25072v1
• Date: Sun, 24 May 2026 13:32:29 GMT
• Title: Topological metal-insulator transitions in one-dimensional non-Hermitian quasicrystals: beyond PT-symmetry
• Abstract summary: One-dimensional non-Hermitian quasicrystals with parity and time-reversal (PT) symmetry can simultaneously exhibit localization-delocalization transition, topological phase transition, and PT-symmetry-breaking transition.<n>This work investigates how the absence of PT symmetry impacts topological metal-insulator transitions in non-Hermitian quasicrystals.
• Score: 0.7340017786387767
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: One-dimensional non-Hermitian quasicrystals with parity and time-reversal (PT) symmetry can simultaneously exhibit localization-delocalization transition, topological phase transition, and PT-symmetry-breaking transition. This motivates this work to investigate how the absence of PT symmetry impacts topological metal-insulator transitions in non-Hermitian quasicrystals. We propose a non-Hermitian quasiperiodic model that generally does not preserve PT symmetry and demonstrate that, in most parameter regions, such a system supports triple phase transitions that encompass localization, topology, and degeneracy-breaking. The system may also exhibit a particular type of localization-delocalization transition analogous to the Hermitian case, namely, without activating topological phase transitions or degeneracy-breaking transitions. Our work extends the topological metal-insulator transitions previously studied in PT-symmetric systems to a more general class of non-Hermitian setting, and further reveals that non-Hermitian systems can host distinct types of localization behavior.

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