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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…

Disordered Systems and Neural Networks · Physics 2026-05-26 Guangjie Zhang , Bing Shao , Longwen Zhou , Jiangbin Gong , Weiwei Zhu

The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order. Non-Hermitian systems exhibit unique features with no counterparts in topological Hermitian…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Stefano Longhi

Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with…

Disordered Systems and Neural Networks · Physics 2021-08-20 Longwen Zhou , Wenqian Han

We investigate the localization and topological transitions in a one-dimensional (interacting) non-Hermitian quasiperiodic lattice, which is described by a generalized Aubry-Andr\'{e}-Harper model with irrational modulations in the…

Quantum Physics · Physics 2021-03-31 Ling-Zhi Tang , Guo-Qing Zhang , Ling-Feng Zhang , Dan-Wei Zhang

Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions induced by gain and loss or nonreciprocal effects. In this work, we introduce a non-Abelian generalization of the…

Quantum Physics · Physics 2024-02-23 Longwen Zhou

The interplay of onsite quasiperiodic potential, superconductivity, and non-Hermiticity is explored in a non-Hermitian unconventional superconducting quasicrystal described by Aubry-Andr\'e-Harper (NHAAH) model with $p$-wave pairing. In…

Disordered Systems and Neural Networks · Physics 2025-01-27 Shaina Gandhi , Jayendra N. Bandyopadhyay

Non-Hermitian extensions of the Aubry-Andr\'e-Harper (AAH) model reveal a rich variety of phase transitions arising from the interplay of quasiperiodicity and non-Hermiticity. Despite their theoretical significance, experimental…

Quantum Physics · Physics 2025-08-12 Quan Lin , Christopher Cedzich , Qi Zhou , Peng Xue

According to the topological band theory of a Hermitian system, the different electronic phases are classified in terms of topological invariants, wherein the transition between the two phases characterized by a different topological…

Disordered Systems and Neural Networks · Physics 2022-01-24 Aruna Prasad Acharya , Aditi Chakrabarty , Deepak Kumar Sahu , Sanjoy Datta

Non-Hermitian extensions of the Anderson and Aubry-Andr\'e-Harper models are attracting a considerable interest as platforms to study localization phenomena, metal-insulator and topological phase transitions in disordered non-Hermitian…

Quantum Physics · Physics 2019-10-02 Stefano Longhi

The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomena -- topological phases and…

Quantum Physics · Physics 2021-06-18 Longwen Zhou , Qianqian Du

Non-Hermitian systems can host topological states with novel topological invariants and bulk-edge correspondences that are distinct from conventional Hermitian systems. Here we show that two unique classes of non-Hermitian 2D topological…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

We predict a re-entrant topological transition in a one dimensional non-Hermitian quasiperiodic lattice. By considering a non-Hermitian generalized Aubry-Andr\'e-Harper (AAH) model with quasiperiodic potential, we show that the system first…

Quantum Gases · Physics 2023-06-21 Ashirbad Padhan , Soumya Ranjan Padhi , Tapan Mishra

Topological phases have recently witnessed a rapid progress in non-Hermitian systems. Here we study a one-dimensional non-Hermitian Aubry-Andr\'e-Harper model with imaginary periodic or quasiperiodic modulations. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

We investigate a non-Hermitian Aubry-Andr\'e-Harper model with short-range, as well as long-range p-wave pairing. Here, the non-Hermiticity is introduced through the onsite potential. A comprehensive analysis of several critical aspects of…

Disordered Systems and Neural Networks · Physics 2024-06-17 Shaina Gandhi , Jayendra N. Bandyopadhyay

The correspondence between the real-complex transition in energy and delocalization-localization transition is well-established in a class of Aubry-Andr'e-Harper model with exponential non-Hermitian on-site potentials. In this paper, we…

Disordered Systems and Neural Networks · Physics 2022-11-02 Wen Chen , Shujie Cheng , Ji Lin , Reza Asgari , Gao Xianlong

The interplay of topology, disorder, and non-Hermiticity gives rise to phenomena beyond the conventional classification of quantum phases. We propose a one-dimensional non-Hermitian Su-Schrieffer-Heeger model with quasiperiodically…

Disordered Systems and Neural Networks · Physics 2026-05-14 Qi-Bo Zeng , Rong Lü

In the last few years, several works have identified the concurrence of the spectral, delocalization-localization and topological phase transitions in non-Hermitian quasiperiodic systems in the presence of time-reversal symmetry (TRS), with…

Disordered Systems and Neural Networks · Physics 2025-08-21 Aditi Chakrabarty , Sanchayan Banerjee , Tapan Mishra , Sanjoy Datta

We investigate a generalized Aubry-Andr\'{e}-Harper (AAH) model with non-reciprocal hopping and power-law quasiperiodic potentials $V(i) = V\left[ \cos(2\pi \beta i) \right]^p$. Our study reveals that the interplay between nonreciprocity,…

Disordered Systems and Neural Networks · Physics 2025-11-18 Ya-Nan Wang , Wen-Long You , Zhihao Xu , Gaoyong Sun

Non-Hermitian PT-symmetric quantum-mechanical Hamiltonians generally exhibit a phase transition that separates two parametric regions, (i) a region of unbroken PT symmetry in which the eigenvalues are all real, and (ii) a region of broken…

Quantum Physics · Physics 2012-10-11 Carl M. Bender , David J. Weir

Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and…

Quantum Physics · Physics 2022-01-13 Longwen Zhou , Yongjian Gu
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