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The past decades have witnessed the flourishing of non-Hermitian physics in non-conservative systems, leading to unprecedented phenomena of unidirectional invisibility, enhanced sensitivity and more recently the novel topological features…

介观与纳米尺度物理 · 物理学 2022-05-18 Xiujuan Zhang , Tian Zhang , Ming-Hui Lu , Yan-Feng Chen

We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different "masses" and/or signs of the "non-Hermitian charge". The existence of these edge…

介观与纳米尺度物理 · 物理学 2017-01-25 Daniel Leykam , Konstantin Y. Bliokh , Chunli Huang , Y. D. Chong , Franco Nori

The non-Hermitian skin effect (NHSE) and nonlinearity can both delocalize topological modes (TMs) from the interface. However, the NHSE requires precise parameter tuning, while nonlinearity in Hermitian systems results in partial…

量子物理 · 物理学 2025-09-03 Zhao-Fan Cai , Yu-Chun Wang , Yu-Ran Zhang , Tao Liu , Franco Nori

In two dimensions, Hermitian lattices with non-zero Chern numbers and non-Hermitian lattices with a higher-order skin effect (HOSE) bypass the constraints of the Nielsen-Ninomiya no-go theorem at their one-dimensional boundaries. This…

介观与纳米尺度物理 · 物理学 2025-05-22 Yifan Wang , Wladimir A. Benalcazar

In this work we study topological properties of the one-dimensional Creutz ladder model with different non-Hermitian asymmetric hoppings and on-site imaginary potentials, and obtain phase diagrams regarding the presence and absence of an…

量子物理 · 物理学 2022-01-14 Hui-Qiang Liang , Linhu Li

Capital to topological insulators, the bulk-boundary correspondence ties a topological invariant computed from the bulk (extended) states with those at the boundary, which are hence robust to disorder. Here we put forward an ordering unique…

介观与纳米尺度物理 · 物理学 2018-03-14 V. M. Martinez Alvarez , J. E. Barrios Vargas , L. E. F. Foa Torres

We present a study of complex energy braiding in a 1D non-Hermitian system with $n$th order long range asymmetrical coupling. Our work highlights the emergence of novel topological phenomena in such systems beyond the conventional…

Higher-order phases are characterized by corner or hinge modes that arise due to the interesting interplay of localization mechanisms along two or more dimensions. In this work, we introduce and construct a novel class of "hybrid"…

介观与纳米尺度物理 · 物理学 2019-07-10 Ching Hua Lee , Linhu Li , Jiangbin Gong

Mechanical metamaterials are artificial structures with unusual properties, such as negative Poisson ratio, bistability or tunable vibrational properties, that originate in the geometry of their unit cell. At the heart of such unusual…

软凝聚态物质 · 物理学 2015-04-27 Jayson Paulose , Bryan Gin-ge Chen , Vincenzo Vitelli

The non-Hermitian skin effect is an intriguing physical phenomenon, in which all eigen-modes of a non-Hermitian lattice become localized at boundary regions. While such an exotic behavior has been demonstrated in various physical platforms,…

应用物理 · 物理学 2025-01-27 Mathieu Padlewski , Romain Fleury , Hervé Lissek

Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

The non-Hermitian skin effect (NHSE), characterized by the accumulation of a macroscopic number of bulk states at system boundaries, is a hallmark of non-Hermitian physics. However, effective control of skin-mode localization in…

无序系统与神经网络 · 物理学 2025-12-09 Zhao-Fan Cai , Yang Li , Yu-Ran Zhang , Xiaomin Wei , Zhongmin Yang , Tao Liu , Franco Nori

We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner by constructing an appropriate open quantum system. We focus on the quantum steady states of such…

量子物理 · 物理学 2022-02-21 Alexander McDonald , Ryo Hanai , Aashish A. Clerk

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

量子物理 · 物理学 2016-04-04 Tony E. Lee

Within the expanding field of non-Hermitian physics, non-Hermitian pumping has emerged as a key phenomenon, epitomized through the skin effect via extensive boundary mode accumulation modifying the conventional Bloch picture. Beyond…

介观与纳米尺度物理 · 物理学 2020-09-02 Ching Hua Lee , Linhu Li , Ronny Thomale , Jiangbin Gong

Band structures of metamaterials described by a nonlinear eigenvalue problem are beyond the existing topological band theory. In this paper, we analyze non-Hermitian topology under the nonlinearity of eigenvalues. Specifically, we elucidate…

介观与纳米尺度物理 · 物理学 2025-02-19 Tsuneya Yoshida , Takuma Isobe , Yasuhiro Hatsugai

I show that a single embedded non-Hermitian defect in a one-dimensional topological system at certain degrees of non-Hermiticity can remove the topological mode from the edge and restore it inside the lattice at the same place where the…

量子物理 · 物理学 2022-07-26 Hamidreza Ramezani

Wave motion is fundamentally constrained by the dispersion properties of the medium, often making it challenging -- or even impossible -- to guide wave packets along desired trajectories, particularly when wave inversion is required. The…

斑图形成与孤子 · 物理学 2026-02-10 Emanuele Riva

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection,…

介观与纳米尺度物理 · 物理学 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

This article reviews recent developments in the non-Hermitian skin effect (NHSE), particularly on its rich interplay with topology. The review starts off with a pedagogical introduction on the modified bulk-boundary correspondence, the…

介观与纳米尺度物理 · 物理学 2024-04-16 Rijia Lin , Tommy Tai , Mengjie Yang , Linhu Li , Ching Hua Lee