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Non-Hermitian systems with aperiodic order display phase transitions that are beyond the paradigm of Hermitian physics. Unfortunately, owing to the incommensurability of the potential most of known non-Hermitian models are not integrable.…

量子物理 · 物理学 2021-06-30 Stefano Longhi

Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple…

无序系统与神经网络 · 物理学 2022-02-18 Wenqian Han , Longwen Zhou

We investigate localization-delocalization transition in one-dimensional non-Hermitian quasiperiodic lattices with exponential short-range hopping, which possess parity-time ($\mathcal{PT}$) symmetry. The localization transition induced by…

无序系统与神经网络 · 物理学 2020-05-27 Yanxia Liu , Xiang-Ping Jiang , Junpeng Cao , Shu Chen

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…

量子物理 · 物理学 2021-03-31 Ling-Zhi Tang , Guo-Qing Zhang , Ling-Feng Zhang , Dan-Wei Zhang

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…

无序系统与神经网络 · 物理学 2021-08-20 Longwen Zhou , Wenqian Han

We introduce the non-Hermitian mosaic Maryland model, where a discrete modulation period and a non-Hermitian phase are incorporated into the potential, rendering the originally exactly solvable system generally non-integrable. This model…

无序系统与神经网络 · 物理学 2026-03-27 Zhenning Wang , Ni Lu , Dan Liu , Xiaosen Yang , Xianqi Tong

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…

量子气体 · 物理学 2023-06-21 Ashirbad Padhan , Soumya Ranjan Padhi , Tapan Mishra

In non-Hermitian quasicrystals, mobility edges (ME) separating localized and extended states in complex energy plane can arise as a result of non-Hermitian terms in the Hamiltonian. Such ME are of topological nature, i.e. the energies of…

量子物理 · 物理学 2022-07-26 Stefano Longhi

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…

无序系统与神经网络 · 物理学 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…

无序系统与神经网络 · 物理学 2025-08-21 Aditi Chakrabarty , Sanchayan Banerjee , Tapan Mishra , Sanjoy Datta

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…

量子物理 · 物理学 2024-02-23 Longwen Zhou

We introduce the one-dimensional quasireciprocal lattices where the forward hopping amplitudes between nearest neighboring sites $\{ t+t_{jR} \}$ are chosen to be a random permutation of the backward hopping $\{ t+t_{jL} \}$ or vice versa.…

无序系统与神经网络 · 物理学 2022-04-19 Qi-Bo Zeng , Rong Lü

The interplay among interaction, non-Hermiticity, and disorder opens a new avenue for engineering novel phase transitions. We here study the spectral and localization features of two interacting bosons in one-dimensional nonreciprocal…

无序系统与神经网络 · 物理学 2024-12-30 Lei Wang , Juan Kang , Ni Liu , Chaohua Wu , Gang Chen

Non-Hermiticity enriches the contents of topological classification of matter including exceptional points, bulk-edge correspondence and skin effect. Gain and loss can be described by imaginary diagonal elements in Hamiltonians and the…

介观与纳米尺度物理 · 物理学 2020-07-15 X. L. Zhao , L. B. Chen , L. B. Fu , X. X. Yi

Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

量子物理 · 物理学 2021-08-25 Longwen Zhou

Recent research has made significant progress in understanding localization transitions and mobility edges (MEs) that separate extended and localized states in non-Hermitian (NH) quasicrystals. Here we focus on studying critical states and…

无序系统与神经网络 · 物理学 2024-09-06 Xiang-Ping Jiang , Weilei Zeng , Yayun Hu , Lei Pan

Non-Hermitian phenomena, such as exceptional points, non-Hermitian skin effects, and topologically nontrivial phases have attracted continued attention. In this work, we reveal how interactions and nonreciprocal hopping could collectively…

无序系统与神经网络 · 物理学 2025-03-04 Yalun Zhang , Longwen Zhou

We study the effects of non-hermitian perturbation on a quantum kicked model exhibiting a localization transition. Using an exact renormalization scheme, we show that the critical line separating the extended and localized phases approaches…

无序系统与神经网络 · 物理学 2009-11-07 Indubala I satija , Arjendu Pattanayak

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…

介观与纳米尺度物理 · 物理学 2019-06-26 Stefano Longhi

Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and…

量子物理 · 物理学 2025-04-10 Stefano Longhi
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