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Anderson (localization) transition is a universal wave phenomenon characterized by a disorder-induced quantum phase transition from extended to localized states, whereas the non-Hermitian skin effect is a generic feature of non-Hermitian…

无序系统与神经网络 · 物理学 2026-03-31 C. Wang , X. R. Wang , Hechen Ren

Disorder and non-Hermiticity dramatically impact the topological and localization properties of a quantum system, giving rise to intriguing quantum states of matter. The rich interplay of disorder, non-Hermiticity, and topology is…

介观与纳米尺度物理 · 物理学 2022-06-15 Quan Lin , Tianyu Li , Lei Xiao , Kunkun Wang , Wei Yi , Peng Xue

We report a novel localization phenomenon that emerges in non-Hermitian and quasiperiodic coupled systems, which we dub ``Anderson-Skin (AS) dualism". The emergence of AS dualism is due to the fact that non-Hermitian topological systems…

无序系统与神经网络 · 物理学 2025-11-18 Shan-Zhong Li , Linhu Li , Shi-Liang Zhu , Zhi Li

Non-Hermitian systems can exhibit unique topological and localization properties. Here we elucidate the non-Hermitian effects on disordered topological systems by studying a non-Hermitian disordered Su-Schrieffer-Heeger model with…

量子物理 · 物理学 2020-04-15 Dan-Wei Zhang , Ling-Zhi Tang , Li-Jun Lang , Hui Yan , Shi-Liang Zhu

The interplay between band topology and material nonlinearity gives rise to a variety of novel phenomena, such as topological solitons and nonlinearity-induced topological phase transitions. However, most previous studies fall within the…

介观与纳米尺度物理 · 物理学 2025-10-21 Junyao Wu , Rui-Chang Shen , Li Zhang , Fujia Chen , Bingbing Wang , Hongsheng Chen , Yihao Yang , Haoran Xue

The interplay among topology, disorder, and non-Hermiticity can induce some exotic topological and localization phenomena. Here we investigate this interplay in a two-dimensional non-Hermitian disordered Chern-insulator model with two…

介观与纳米尺度物理 · 物理学 2020-06-11 Ling-Zhi Tang , Ling-Feng Zhang , Guo-Qing Zhang , Dan-Wei Zhang

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an…

介观与纳米尺度物理 · 物理学 2021-10-13 Frank Schindler , Abhinav Prem

We explore the interplay of disorder and topological phenomena in honeycomb lattices of atoms coupled by the electromagnetic field. On the one hand, disorder can trigger transitions between distinct topological phases and drive the lattice…

量子物理 · 物理学 2022-04-22 S. E. Skipetrov , P. Wulles

Symmetry-protected spectral topology in non-Hermitian systems has interesting manifestations such as dynamically anomalous chiral currents and skin effect. We study the interplay between symmetries and disorder in a paradigmatic model for…

介观与纳米尺度物理 · 物理学 2022-08-01 Ronika Sarkar , Suraj S. Hegde , Awadhesh Narayan

In the framework of non-Hermitian photonics, we investigate the interplay between disorder and non-Hermiticity in a one-dimensional Hatano-Nelson lattice. While Anderson localization dictates the wave's evolution in conservative random…

无序系统与神经网络 · 物理学 2025-05-20 E. T. Kokkinakis , K. G. Makris , E. N. Economou

Anderson localization and the non-Hermitian skin effect are two distinct confinement phenomena of the eigenfunctions that are driven, respectively, by disorder and nonreciprocity. Understanding their interplay within a unified framework…

无序系统与神经网络 · 物理学 2025-06-27 Dipendu Halder , Saurabh Basu

Recent studies of disorder or non-Hermiticity induced topological insulators inject new ingredients for engineering topological matter. Here we consider the effect of purely non-Hermitian disorders, a combination of these two ingredients,…

介观与纳米尺度物理 · 物理学 2022-12-12 Xi-Wang Luo , Chuanwei Zhang

Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an exponential sensitivity to boundary conditions and an extensive number of edge-localized states in systems with open boundaries, a phenomena dubbed the…

无序系统与神经网络 · 物理学 2021-04-14 Jahan Claes , Taylor L. Hughes

Different disorders lead to various localization and topological phenomena in condensed matter and artificial systems. Here we study the topological and localization properties in one-dimensional Su-Schrieffer-Heeger model with spatially…

无序系统与神经网络 · 物理学 2022-03-01 Shu-Na Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate…

介观与纳米尺度物理 · 物理学 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

Topological states of matter in disordered systems without translation symmetry have attracted great interest in recent years. These states with topological characters are not only robust against certain disorders, but also can be…

无序系统与神经网络 · 物理学 2026-05-08 Dan-Wei Zhang , Ling-Zhi Tang

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate…

数学物理 · 物理学 2023-08-14 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Ping Liu

Boundary conditions can have dramatic impact in non-Hermitian systems, as exemplified by the non-Hermitian skin effect. Focusing on one-dimensional non-Hermitian quasiperioidic lattices, we show that the interplay of quasiperiodicity and…

量子物理 · 物理学 2026-03-24 Wenzhi Wang , Tianyu Li , Wei Yi

Non-Bloch band theory serves as a cornerstone for understanding intriguing non-Hermitian phenomena, such as the skin effect and extreme spectral sensitivity to boundary conditions. Yet this theory hinges on translational symmetry and thus…

无序系统与神经网络 · 物理学 2025-07-15 Konghao Sun , Haiping Hu

Anderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered medium. Here we generalize the landscape theory of Anderson localization to general elliptic operators and complex boundary…

数学物理 · 物理学 2022-11-09 Chen Jia , Ziqi Liu , Zhimin Zhang
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