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Non-Hermitian skin-edge states emerge only at one edge in one-dimensional nonreciprocal chains, where all states are localized at the edge irrespective of eigenvalues. The bulk topological number is the winding number associated with the…

介观与纳米尺度物理 · 物理学 2019-05-10 Motohiko Ezawa

Skin effect, where macroscopically many bulk states are aggregated towards the system boundary, is one of the most important and distinguishing phenomena in non-Hermitian quantum systems. We discuss a new aspect of this effect whereby,…

介观与纳米尺度物理 · 物理学 2021-12-17 Ming Lu , Xiao-Xiao Zhang , Marcel Franz

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

Non-Hermitian physics has unveiled unconventional spectral, topological and critical phenomena, challenging traditional band theories. This thesis advances its understanding in three aspects. First, the non-Hermitian skin effect (NHSE) is…

介观与纳米尺度物理 · 物理学 2025-02-18 Qingya Li

Recently, it has been revealed that a variety of novel phenomena emerge in hyperbolic spaces, while non-Hermitian physics has significantly enriched the landscape of condensed matter physics. Building on these developments, we construct a…

其他凝聚态物理 · 物理学 2024-10-22 Ruizhe Shen , Wei Jie Chan , Ching Hua Lee

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced localization in the bulk. We study a Hamiltonian with non-reciprocal couplings that exhibits the skin effect…

介观与纳米尺度物理 · 物理学 2024-03-20 Bryn Davies , Silvio Barandun , Erik Orvehed Hiltunen , Richard V. Craster , Habib Ammari

We study the time evolution processes of non-Hermitian systems under the open boundary condition and confirm that the dynamical skin effect exists in non-Hermitian systems analytically, and unveil the mechanism of its formation, which is…

量子物理 · 物理学 2023-02-09 Haoshu Li , Shaolong Wan

The non-Hermitian skin effect, nonreciprocity-induced anomalous localization of an extensive number of eigenstates, represents a hallmark of non-Hermitian topological systems with no analogs in Hermitian systems. Despite its significance…

介观与纳米尺度物理 · 物理学 2025-09-22 Kohei Kawabata , Daichi Nakamura

In this contribution paper, we construct a two-dimensional non-Hermitian (NH) photonic crystal (PhC) to prototype its anisotropic non-Hermitian skin effect (NHSE) for experimental proposal. Based on the tight-binding model for Lieb lattice…

光学 · 物理学 2026-05-19 Zhi-Kang Xiong , Tianlei Wen , Y. Liu , Hai Lin , Bin Zhou

The non-Hermitian skin effect (NHSE) undermines the conventional bulk-boundary correspondence (BBC) since it results in a distinct bulk spectrum in open-boundary systems compared to the periodic counterpart. Using the non-Hermitian (NH)…

介观与纳米尺度物理 · 物理学 2024-05-03 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

We study the mechanism for realizing non-Hermitian skin effect (NHSE) via dissipative couplings, in which the left-right couplings have equal strengths but the phases do not satisfy the complex conjugation. Previous realizations of NHSE…

量子物理 · 物理学 2024-02-06 Xinyao Huang , Yaohua Li , Guo-Feng Zhang , Yong-Chun Liu

Anderson localization (AL) and the non-Hermitian skin effect (NHSE) represent two paradigmatic localization phenomena driven, respectively, by disorder and non-Hermiticity. In one-dimensional (1D) non-Hermitian systems, these factors are…

介观与纳米尺度物理 · 物理学 2026-03-27 Moirangthem Sanahal , Subhasis Panda , Snehasish Nandy

Phase transitions in one-dimensional lattice systems are well established and have been extensively studied within both Hermitian and non-Hermitian frameworks. In this work, we extend this understanding to a more general setting by…

无序系统与神经网络 · 物理学 2025-11-25 S Rahul , A Harshitha

A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding lattice with open edges. In this case, not only topological…

介观与纳米尺度物理 · 物理学 2020-01-01 C. Yuce

Recent years have witnessed a surge of research on the non-Hermitian skin effect (NHSE) in one-dimensional lattices with finite-range couplings. In this work, we show that the long-range couplings that decay as $1/l^{\alpha}$ at distance…

量子物理 · 物理学 2023-08-14 Yi-Cheng Wang , H. H. Jen , Jhih-Shih You

Non-Hermitian skin effect exhibits the collapse of the extended bulk modes into the extensive number of localized boundary states in open boundary conditions. Here we demonstrate the disorder-driven phase transition of the trivial…

介观与纳米尺度物理 · 物理学 2021-09-08 Kyoung-Min Kim , Moon Jip Park

We study a system where the two edges of a non-Hermitian lattice with asymmetric nearest-neighbor hopping are connected with two Hermitian lattices with symmetric nearest-neighbor hopping. In the absence of those Hermitian lattices, the…

无序系统与神经网络 · 物理学 2023-08-11 Ranjan Modak

The well-established non-Bloch band theory predicts exponential localization of skin-mode eigenstates in one-dimensional (1D) non-Hermitian systems. Recent studies, however, have uncovered anomalous algebraic localization in higher…

量子物理 · 物理学 2025-10-21 Zhao-Fan Cai , Tao Liu

Non-Hermitian systems possess exotic localization phenomena beyond their Hermitian counterparts, exhibiting massive accumulation of eigenstates at the system boundaries with different scaling behaviors. In this study, we investigate two…

量子物理 · 物理学 2026-03-16 Shu Long , Linhu Li

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

量子物理 · 物理学 2020-12-15 Stefano Longhi