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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,…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

Certain non-Hermitian systems exhibit the skin effect, whereby the wavefunctions become exponentially localized at one edge of the system. Such exponential amplification of wavefunction has received significant attention due to its…

Quantum Physics · Physics 2024-03-26 Haowei Xu , Uroš Delić , Guoqing Wang , Changhao Li , Paola Cappellaro , Ju Li

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced many-body localization (MBL). However, the sensitivity of the spatial boundary conditions and the interplay of the non-Hermitian skin effect with…

Disordered Systems and Neural Networks · Physics 2022-12-09 Kuldeep Suthar , Yi-Cheng Wang , Yi-Ping Huang , H. H. Jen , Jhih-Shih You

We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding of two interpretations of non-Hermitian topology: quantum…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Nobuyuki Okuma , Masatoshi Sato

Non-Hermitian topology provides a research frontier for exploring topological phenomena, revealing novel topological effects and driving the development of emergent materials and platforms. Here, we explore the non-Hermitian Chern insulator…

Optics · Physics 2024-11-13 Yi-Ling Zhang , Li-Wei Wang , Yang Liu , Zhao-Xian Chen , Jian-Hua Jiang

Physically, one tends to think of non-Hermitian systems in terms of gain and loss: the decay or amplification of a mode is given by the imaginary part of its energy. Here, we introduce an alternative avenue to the realm of non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-08-22 S. Franca , V. Könye , F. Hassler , J. van den Brink , I. C. Fulga

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

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…

Statistical Mechanics · Physics 2026-04-07 J. Sirker

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…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Kohei Kawabata , Daichi Nakamura

Criticality in non-Hermitian systems unveils unique phase transitions and scaling behaviors beyond Hermitian paradigms, offering new insights into the interplay between gain/loss, non-reciprocity, and complex energy spectra. In this paper,…

Quantum Physics · Physics 2026-03-17 Yi Qin , Yee Sin Ang , Ching Hua Lee , Linhu Li

Non-Hermitian quantum systems exhibit fascinating characteristics such as non-Hermitian topological phenomena and skin effect, yet their studies are limited by the intrinsic difficulties associated with their eigenvalue problems, especially…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Guang Yang , Yongkang Li , Yongxu Fu , Zhenduo Wang , Yi Zhang

The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

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…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Xiujuan Zhang , Tian Zhang , Ming-Hui Lu , Yan-Feng Chen

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…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Ching Hua Lee , Linhu Li , Ronny Thomale , Jiangbin Gong

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…

Quantum Physics · Physics 2024-09-11 Bo Li , He-Ran Wang , Fei Song , Zhong Wang

In this work, we analytically derive a semi-classical equation of motion describing the zitterbewegung effects arising in the dynamics of wavepackets in non-Hermitian systems. In Hermitian non-relativistic quantum systems, the…

Quantum Physics · Physics 2025-11-03 Yow-Ming Robin Hu , Elena A. Ostrovskaya , Eliezer Estrecho

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…

Quantum Physics · Physics 2022-01-14 Hui-Qiang Liang , Linhu Li

Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comprise two areas of intense current research. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz

Non-Hermitian physics predicts open quantum system dynamics with unique topological features such as exceptional points and the non-Hermitian skin effect. We show that this new paradigm of topological systems can serve as probes for bulk…

Quantum Physics · Physics 2024-08-28 Saubhik Sarkar , Francesco Ciccarello , Angelo Carollo , Abolfazl Bayat

Non-orthogonality in non-Hermitian quantum systems gives rise to tremendous exotic quantum phenomena, which can be fundamentally traced back to non-unitarity and is much more fundamental and universal than complex energy spectrum. In this…

Quantum Physics · Physics 2023-11-06 Yue-Yu Zou , Yao Zhou , Li-Mei Chen , Peng Ye
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