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Symmetry-protected ideal flat bands in one-dimensional (1D) Hermitian lattices are populated by compact localized states (CLS) - a special class of localization with wavefunctions confined within a small region. In this work, we discover…

Quantum Physics · Physics 2025-12-24 Xulong Wang , Dongyi Wang , Congwei Lu , Ruo-Yang Zhang , Ching Hua Lee , Kun Ding , Guancong Ma

The concept of non-Hermiticity has expanded the understanding of band topology leading to the emergence of counter-intuitive phenomena. One example is the non-Hermitian skin effect (NHSE), which involves the concentration of eigenstates at…

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…

Optics · Physics 2022-07-20 Qiang Wang , Changyan Zhu , You Wang , Baile Zhang , Yidong Chong

Localization of a macroscopic number of eigenstates on a real-space boundary, known as the non-Hermitian skin effect, is one of the striking topological features emerging from non-Hermiticity. Realizing this effect typically requires…

Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions induced by gain and loss or nonreciprocal effects. In this work, we introduce a non-Abelian generalization of the…

Quantum Physics · Physics 2024-02-23 Longwen Zhou

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…

Other Condensed Matter · Physics 2024-10-22 Ruizhe Shen , Wei Jie Chan , Ching Hua Lee

Distant boundaries in linear non-Hermitian lattices can dramatically change energy eigenvalues and corresponding eigenstates in a nonlocal way. This effect is known as non-Hermitian skin effect (NHSE). Combining non-Hermitian skin effect…

Quantum Physics · Physics 2025-05-15 C. Yuce

Non-Hermitian topological phases, which exhibit unique features such as skin effect and exceptional points originated from nontrivial band topologies in complex plane, have attracted enormous attention in condensed-matter physics and…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Yejian Hu , Jien Wu , Peidong Ye , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Ziyu Wang , Manzhu Ke , Zhengyou Liu

The non-Hermitian skin effect describes the phenomenon of exponential localization of single-particle eigenstates near the boundary of the system. We consider its generalization to the many-body regime by investigating a general class of…

Quantum Physics · Physics 2026-02-17 He-Ran Wang , Zijian Wang , Zhong Wang

The non-Hermitian skin effect, characterized by a proliferation of exponentially localized edge modes in open-boundary systems, has led to the discovery of numerous novel physical phenomena that challenge the limits of conventional band…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Kai Zhang , Chang Shu , Kai Sun

Exceptional points and skin effect, as the two distinct hallmark features unique to the non-Hermitian physics, have each attracted enormous interests. Recent theoretical works reveal that the topologically nontrivial exceptional points can…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Qiuyan Zhou , Jien Wu , Zhenhang Pu , Jiuyang Lu , Xueqin Huang , Weiyin Deng , Manzhu Ke , Zhengyou Liu

Non-Hermitian (NH) crystals, quasicrystals and amorphous network display an accumulation of a macroscopic number of states near one of its specific interfaces with vacuum, such as edge, surface, hinge or corner. This phenomenon is known as…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Sourav Manna , Bitan Roy

The recently discovered non-Hermitian skin effect (NHSE) manifests the breakdown of current classification of topological phases in energy-nonconservative systems, and necessitates the introduction of non-Hermitian band topology. So far,…

The non-Hermitian skin effect (NHSE) has emerged as a hallmark of non-Hermitian physics, with far-reaching implications for transport, topology, and sensing. While recent works have uncovered the NHSE in magnetic systems, these analyses…

Quantum Physics · Physics 2025-10-20 Xin Li , Mohamed Al Begaowe , Shu Zhang , Benedetta Flebus

The non-Hermitian skin effect dramatically reshapes the energy bands of non-Hermitian systems, meaning that the usual Bloch band theory is fundamentally inadequate as their characterization. The non-Bloch band theory, in which the concept…

Mesoscale and Nanoscale Physics · Physics 2024-05-02 Hong-Yi Wang , Fei Song , Zhong Wang

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

Superconductivity · Physics 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

Non-Hermitian quantum systems, characterized by their ability to model open systems with gain and loss, have unveiled striking phenomena such as the non-Hermitian skin effect (NHSE), where eigenstates localize at boundaries under open…

Strongly Correlated Electrons · Physics 2026-01-06 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

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…

Quantum Physics · Physics 2025-06-11 G. Sen , C. Yuce

Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. On the one hand, parity-time- ($\cal PT$-) and anti-$\cal PT$-symmetric physics have gained ever-growing interest, due to the…

Quantum Physics · Physics 2023-01-10 Ievgen I. Arkhipov , Fabrizio Minganti

Fractionalization in ideal Chern bands and non-Hermitian topological physics are two active but so far separate research directions. Merging these, we generalize the notion of ideal Chern bands to the non-Hermitian realm and uncover several…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Jiong-Hao Wang , Christopher Ekman , Raul Perea-Causin , Hui Liu , Emil J. Bergholtz