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Related papers: Topological Non-Hermitian skin effect

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Non-Hermitian physics has received great attention recently. In particular, band structures in non-Hermitian systems can be engineered to exhibit various topological effects. Among them, one of the most intriguing phenomena is the…

Quantum Physics · Physics 2024-04-24 Wenwen Liu , Oubo You , Bumki Min , Shuang 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…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

We investigate the interplay between the non-Hermitian skin effect (NHSE), parity-time (PT) symmetry, and topological defect states in a finite non-Hermitian Su-Schrieffer-Heeger (SSH) chain. In the conventional NHSE regime, non-reciprocal…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Md Saddam Hossain Razo , Mansoor B. A. Jalil

For decades, Hermiticity was considered an immutable axiom of quantum mechanics, essential for ensuring real energies and unitary evolution. This perspective has shifted radically, driven by the realization that non-Hermitian Hamiltonians…

Quantum Physics · Physics 2026-03-17 Federico Roccati , Federico Balducci

We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect. The pseudo-spectrum, computed by the real-space dynamical mean-field theory, elucidates that additional pseudo-eigenstates…

Strongly Correlated Electrons · Physics 2021-03-31 Tsuneya Yoshida

The skin effect and topological edge states in non-Hermitian system have been well-studied, and the second-order skin effect and corner modes have also been proposed in non-Hermitian system recently. In this paper, we construct the nested…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yongxu Fu , Jihan Hu , Shaolong Wan

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…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Motohiko Ezawa

The non-Hermitian skin effect is a distinctive phenomenon in non-Hermitian systems, which manifests as the anomalous localization of bulk states at the boundary. To understand the physical origin of the non-Hermitian skin effect, a bulk…

Quantum Physics · Physics 2024-03-06 Tuo Wan , Kai Zhang , Junkai Li , Zhesen Yang , Zhaoju Yang

We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green functions, we outline…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Dan S. Borgnia , Alex Jura Kruchkov , Robert-Jan Slager

Non-Hermitian topological phases bear a number of exotic properties, such as the non-Hermitian skin effect and the breakdown of conventional bulk-boundary correspondence. In this paper, we introduce an unsupervised machine learning approach…

Mesoscale and Nanoscale Physics · Physics 2021-12-16 Li-Wei Yu , Dong-Ling Deng

Exploring topological phases in non-Hermitian systems has attracted significant recent attention. One intriguing question is how topological edge states compete with the non-Hermitian skin effect. Here, we report the experimental…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Chan Tang , Huanhuan Yang , Lingling Song , Xianglong Yao , Peng Yan , Yunshan Cao

Non-reciprocal systems exhibit extreme sensitivity to boundary conditions, typically manifesting as the non-Hermitian skin effect (NHSE) under open boundaries. By bridging the boundaries with a tunable impurity bond, one can access…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Kazuma Saito , Ryo Okugawa , Kazuki Yokomizo , Takami Tohyama , Chen-Hsuan Hsu

The past few years have witnessed a surge of interest in non-Hermitian Floquet topological matters due to their exotic properties resulting from the interplay between driving fields and non-Hermiticity. The present review sums up our…

Quantum Physics · Physics 2023-11-16 Longwen Zhou , Da-Jian Zhang

Flat band and non-Hermitian are both significant conceptions in modern physics. In this study, we delve into the behaviours of flat bands in non-Hermitian systems, focusing on the interplay between the flat band and its dispersive…

Classical Physics · Physics 2025-01-06 Dongyi Wang , Ruoyang Zhang , Chinghua Lee , Kun Ding , Guancong Ma

The hybrid skin-topological effect (HSTE) in non-Hermitian systems exhibits both the skin effect and topological protection, offering a novel mechanism for the localization of topological edge states (TESs) in electrons, circuits, and…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Jianzhi Chen , Aoqian Shi , Yuchen Peng , Peng Peng , Jianjun Liu

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…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Yi-Xin Xiao , C. T. Chan

Far from being limited to a trivial generalization of their Hermitian counterparts, non-Hermitian topological phases have gained widespread interest due to their unique properties. One of the most striking non-Hermitian phenomena is the…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Kuangyin Deng , Benedetta Flebus

A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian…

Quantum Physics · Physics 2022-04-14 Stefano Longhi

Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by emergent anyons from the Fractional Quantum Hall effect. Within the actively investigated domain of non-Hermitian physics, we discover a new family…

Strongly Correlated Electrons · Physics 2022-09-29 Ruizhe Shen , Ching Hua Lee

Non-Hermitian topological phases exhibit a number of exotic features that have no Hermitian counterparts, including the skin effect and breakdown of the conventional bulk-boundary correspondence. Here, we implement the non-Hermitian…