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A modified periodic boundary condition adequate for non-hermitian topological systems is proposed. Under this boundary condition a topological number characterizing the system is defined in the same way as in the corresponding hermitian…

介观与纳米尺度物理 · 物理学 2019-11-04 Ken-Ichiro Imura , Yositake Takane

The non-Hermitian skin effect can arise in materials that have asymmetric hoppings between atoms or resonating units, which makes the bulk eigenspectrum sensitive to boundary conditions. When skin effect emerges, eigenstates in the bulk…

介观与纳米尺度物理 · 物理学 2022-02-21 Yi-Xin Xiao , C. T. Chan

Non-Hermitian skin effect(NHSE) describes a unique non-Hermitian phenomenon that all eigen-modes are localized near the boundary, and has profound impact on a wide range of bulk properties. In particular, topological systems with NHSE have…

量子气体 · 物理学 2022-11-29 Lihong Zhou , Haowei Li , Wei Yi , Xiaoling Cui

One of the most pronounced non-Hermitian phenomena is the non-Hermitian skin effect, which refers to the exponential localization of bulk eigenstates near the boundaries of non-Hermitian systems. Whereas non-Bloch band theory has been…

介观与纳米尺度物理 · 物理学 2024-11-27 Yu-Min Hu , Yin-Quan Huang , Wen-Tan Xue , Zhong Wang

The traditional bulk-boundary correspondence assuring robust gapless modes at the edges and surfaces of insulating and nodal topological materials gets masked in non-Hermitian (NH) systems by the skin effect, manifesting an accumulation of…

介观与纳米尺度物理 · 物理学 2022-07-14 Archisman Panigrahi , Roderich Moessner , Bitan Roy

The synergy between non-Hermitian concepts and topological ideas have led to very fruitful activity in the recent years. Their interplay has resulted in a wide variety of new non-Hermitian topological phenomena being discovered. In this…

介观与纳米尺度物理 · 物理学 2023-06-16 Ayan Banerjee , Ronika Sarkar , Soumi Dey , Awadhesh Narayan

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

Bulk-boundary correspondence, connecting the bulk topology and the edge states, is an essential principle of the topological phases. However, the bulk-boundary correspondence is broken down in general non-Hermitian systems. In this paper,…

介观与纳米尺度物理 · 物理学 2021-02-24 Yang Cao , Yang Li , Xiaosen Yang

Quantum systems are often classified into Hermitian and non-Hermitian ones. Extraordinary non-Hermitian phenomena, ranging from the non-Hermitian skin effect to the supersensitivity to boundary conditions, have been widely explored. Whereas…

量子气体 · 物理学 2022-05-25 Chenwei Lv , Ren Zhang , Zhengzheng Zhai , Qi Zhou

Non-Hermitian lattices under semi-infinite boundary conditions sustain an extensive number of exponentially-localized states, dubbed non-Hermitian skin modes. Such states can be predicted from the nontrivial topology of the energy spectrum…

量子物理 · 物理学 2022-07-26 Stefano Longhi

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

We explore absorbing open-boundary modes in non-Hermitian photonic systems. The modes have a continuum spectrum in the infinite system-size limit and can exhibit the non-Hermitian skin effect. In contrast to the conventional non-Hermitian…

光学 · 物理学 2022-11-23 Tetsuyuki Ochiai

The non-Hermitian skin effect (NHSE), the accumulation of eigen wavefunctions at boundaries of open systems, underlies a variety of exotic properties that defy conventional wisdom. While NHSE and its intriguing impact on band topology and…

量子气体 · 物理学 2022-08-16 Qian Liang , Dizhou Xie , Zhaoli Dong , Haowei Li , Hang Li , Bryce Gadway , Wei Yi , Bo Yan

Bulk-boundary correspondence, a central principle in topological matter relating bulk topological invariants to edge states, breaks down in a generic class of non-Hermitian systems that have so far eluded experimental effort. Here we…

介观与纳米尺度物理 · 物理学 2020-08-21 Lei Xiao , Tianshu Deng , Kunkun Wang , Gaoyan Zhu , Zhong Wang , Wei Yi , Peng Xue

The hybrid skin-topological effect (HSTE) arises from the interplay between the non-Hermitian skin modes and topologically protected edge states. Here, we investigate the HSTE associated with antichiral edge states in a modified Haldane…

介观与纳米尺度物理 · 物理学 2026-03-03 Nobuhiro Ito , Shun Uchino

Non-Hermitian skin effect (NHSE) is a novel phenomenon appearing in non-Hermitian systems. Here, we report the experimental observation of NHSE. Different from the previous non-reciprocal circuit implementation scheme using logic…

无序系统与神经网络 · 物理学 2023-05-17 Luhong Su , Hui Jiang , Zhan Wang , Shu Chen , Dongning Zheng

The non-Hermitian skin effect refers to the accumulation of eigenstates near the boundary in open boundary lattice models, which can be systematically characterized using the non-Bloch band theory. Here, we apply the non-Bloch band theory…

量子物理 · 物理学 2024-09-11 Bo Li , He-Ran Wang , Fei Song , Zhong Wang

We propose a novel type of skin effects in non-Hermitian quantum many-body systems which we dub a non-Hermitian Mott skin effect. This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap…

强关联电子 · 物理学 2024-08-16 Tsuneya Yoshida , Song-Bo Zhang , Titus Neupert , Norio Kawakami

We investigate non-Hermitian elastic lattices characterized by non-local feedback control interactions. In one-dimensional lattices, we show that the proportional control interactions produce complex dispersion relations characterized by…

介观与纳米尺度物理 · 物理学 2020-06-24 Matheus I. N. Rosa , Massimo Ruzzene

The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder,…

无序系统与神经网络 · 物理学 2025-12-04 Ali Tozar