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We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian topology on their boundary. As a consequence, removing a boundary hopping from the time-evolution operator stops the propagation of chiral edge modes,…

介观与纳米尺度物理 · 物理学 2024-09-26 Hui Liu , Ion Cosma Fulga

The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band theory. The essential part in formulations of bulk-boundary…

介观与纳米尺度物理 · 物理学 2019-12-11 Fei Song , Shunyu Yao , Zhong Wang

The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice…

量子物理 · 物理学 2025-06-11 G. Sen , C. Yuce

The dislocation skin effect exhibits the capacity of topological defects to trap an extensive number of modes in two-dimensional non-Hermitian systems. Similar to the corresponding skin effects caused by system boundaries, this phenomenon…

介观与纳米尺度物理 · 物理学 2024-04-30 Nisarg Chadha , Ali G. Moghaddam , Jeroen van den Brink , Cosma Fulga

The bulk-boundary correspondence (BBC) relates in-gap boundary modes to bulk topological invariants. In certain non-Hermitian topological systems, conventional BBC becomes invalid in the presence of the non-Hermitian skin effect (NHSE),…

介观与纳米尺度物理 · 物理学 2024-04-15 Rijia Lin , Linhu Li

Open quantum systems provide a plethora of exotic topological phases of matter that has no Hermitian counterpart. Non-Hermitian skin effect, macroscopic collapse of bulk states to the boundary, has been extensively studied in various…

强关联电子 · 物理学 2023-09-15 Beom Hyun Kim , Jae-Ho Han , Moon Jip Park

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

The breakdown of the conventional bulk-boundary correspondence due to non-Hermitian skin effect leads to the non-Bloch bulk-boundary correspondence in the generalized Brillouin zone. Inspired by the case of the equivalence between the…

量子物理 · 物理学 2022-01-05 Y. Z. Han , J. S. Liu , C. S. Liu

The non-Hermitian skin effect (NHSE) is a phenomenon whereby certain non-Hermitian lattice Hamiltonians, particularly those with nonreciprocal couplings, can host an extensive number of eigenmodes condensed to the boundary, called skin…

光学 · 物理学 2022-07-20 Qiang Wang , Changyan Zhu , You Wang , Baile Zhang , Yidong Chong

We study interaction-induced Mott insulators, and their topological properties in a 1D non-Hermitian strongly-correlated spinful fermionic superlattice system with either nonreciprocal hopping or complex-valued interaction. For the…

强关联电子 · 物理学 2021-01-13 Tao Liu , James Jun He , Tsuneya Yoshida , Ze-Liang Xiang , Franco Nori

Recent studies of non-Hermitian periodic lattices unveiled the non-Hermitian skin effect (NHSE), in which the bulk modes under the periodic boundary conditions (PBC) become skin modes under open boundary conditions (OBC). The NHSE is a…

其他凝聚态物理 · 物理学 2023-11-17 Wei Wang , Mengying Hu , Xulong Wang , Guancong Ma , Kun Ding

The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such…

Recently, it was established that there exists a direct relation between the non-Hermitian skin effects, -strong dependence of spectra on boundary conditions for non-Hermitian Hamiltonians-, and boundary zero modes for Hermitian topological…

介观与纳米尺度物理 · 物理学 2020-07-10 Nobuyuki Okuma , Masatoshi Sato

It is generally believed that the non-Hermitian effect (NHSE), due to its non-reciprocal nature, creates barriers for the appearance of impurity bound states. In this paper, we find that in two and higher dimensions, the presence of…

介观与纳米尺度物理 · 物理学 2026-02-09 Ao Yang , Zixi Fang , Kai Zhang , Chen Fang

The non-Hermitian skin effect (NHSE), characterized by a macroscopic accumulation of eigenstates at the edge of a system with open boundaries, is often ascribed to a non-trivial point-gap topology of the Bloch Hamiltonian. We revisit this…

统计力学 · 物理学 2026-04-07 J. Sirker

Hermitian theories play a major role in understanding the physics of most phenomena. It has been found only in the past decade that non-Hermiticity enables unprecedented effects such as exceptional points, spectral singularities and bulk…

应用物理 · 物理学 2021-10-04 Xiujuan Zhang , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen

We study the one-dimensional non-Hermitian lattices with staggered onsite modulations and nonreciprocal hopping up to the next-nearest-neighboring (NNN) sites. Due to the NNN nonreciprocity, the non-Hermitian skin effect (NHSE) in the…

介观与纳米尺度物理 · 物理学 2024-07-17 Han Xiao , Qi-Bo Zeng

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

Non-Hermitian skin effect (NHSE) is a distinctive phenomenon in non-Hermitian systems, characterized by a significant accumulation of eigenstates at system boundaries. While well-understood in one dimension via non-Bloch band theory,…

介观与纳米尺度物理 · 物理学 2024-07-02 Yuncheng Xiong , Ze-Yu Xing , Haiping Hu

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of…

偏微分方程分析 · 数学 2023-06-28 Habib Ammari , Silvio Barandun , Jinghao Cao , Bryn Davies , Erik Orvehed Hiltunen