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We study the geometric response of three-dimensional non-Hermitian crystalline systems with nontrivial point-gap topology. For systems with fourfold rotation symmetry, we show that in the presence of disclination lines with a total Frank…

介观与纳米尺度物理 · 物理学 2021-08-11 Xiao-Qi Sun , Penghao Zhu , Taylor L. Hughes

We discuss a generalization of the non-Hermitian skin effect to finite-size photonic structures with neither gain nor loss in the bulk and purely real energy spectrum under periodic boundary conditions (PBC). We show that such systems can…

光学 · 物理学 2023-10-09 Alexander Poddubny , Janet Zhong , Shanhui Fan

The non-Hermitian bulk-boundary correspondence features an interplay between the non-Hermitian skin effect and anomalous boundary-mode behavior. Whereas the skin effect is known to manifest itself in quantum dynamics in the form of chiral…

介观与纳米尺度物理 · 物理学 2025-06-23 Fan Yang , Maria Zelenayova , Paolo Molignini , Emil J. Bergholtz

Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this paper is to introduce the notion of a generalised Brillouin…

数学物理 · 物理学 2024-08-12 Habib Ammari , Silvio Barandun , Ping Liu , Alexander Uhlmann

The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry (PHS)…

介观与纳米尺度物理 · 物理学 2023-08-31 Zhi-Yuan Wang , Jian-Song Hong , Xiong-Jun Liu

The scalefree non-Hermitian skin effect (NHSE) refers to the phenomenon that the localization length of skin modes scales proportionally with system size in non-Hermitian systems. Authors of recent studies have demonstrated that the…

量子物理 · 物理学 2024-01-17 Wei Li , Zhoujian Sun , Ze Yang , Fuxiang Li

The non-Hermitian skin effects are representative phenomena intrinsic to non-Hermitian systems: the energy spectra and eigenstates under the open boundary condition (OBC) drastically differ from those under the periodic boundary condition…

介观与纳米尺度物理 · 物理学 2024-05-30 Yusuke O. Nakai , Nobuyuki Okuma , Daichi Nakamura , Kenji Shimomura , Masatoshi Sato

The energy bands of non-Hermitian systems exhibit nontrivial topological features that arise from the complex nature of the energy spectrum. Under periodic boundary conditions (PBC), the energy spectrum describes rather generally closed…

量子物理 · 物理学 2022-07-26 Stefano Longhi

There has been much recent interest and progress on topological structures of the non-Hermitian Bloch bands. Here, we study the topological structures of non-Bloch bands of non-Hermitian multiband quantum systems under open boundary…

介观与纳米尺度物理 · 物理学 2024-09-10 Yongxu Fu , Yi Zhang

The generalized Brillouin zones (GBZs) are integral in the analysis of non-Hermitian band structures. Conventional wisdom suggests that the GBZ should be connected, where each point can be indexed by the real part of the wavevector, similar…

介观与纳米尺度物理 · 物理学 2026-05-22 Heming Wang , Janet Zhong , Shanhui Fan

The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked `non-Hermitian skin effect' necessitates redefinition of topological invariants in a generalized…

介观与纳米尺度物理 · 物理学 2018-09-07 Shunyu Yao , Zhong Wang

We propose a novel type of skin effects in non-Hermitian quantum many-body systems which we dub a non-Hermitian Mott skin effect. This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap…

强关联电子 · 物理学 2024-08-16 Tsuneya Yoshida , Song-Bo Zhang , Titus Neupert , Norio Kawakami

Hermitian topological materials are characterized by the nontrivial relation between topological numbers and edge modes, i.e. the bulk-boundary correspondence. In non-Hermitian systems, the conventional correspondence breaks down. Instead,…

强关联电子 · 物理学 2022-11-22 Shohei Masuda , Masaaki Nakamura

Non-Hermitian theory is a theoretical framework that excels at describing open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom (DOFs) of a system and the interactions with the external…

量子物理 · 物理学 2024-05-28 Kun Ding , Chen Fang , Guancong Ma

Non-Hermitian systems exhibit novel phenomena without Hermitian counterparts, such as exceptional points and the non-Hermitian skin effect. These non-Hermitian topological phenomena are observable in single-particle excitations of…

强关联电子 · 物理学 2024-09-11 Robert Peters , Tsuneya Yoshida

There is a common belief in the condensed matter community that bulk quantities become insensitive to the boundary condition in the infinite-volume limit. Here we reconsider this statement in terms of recent arguments of non-Hermitian skin…

介观与纳米尺度物理 · 物理学 2021-05-05 Nobuyuki Okuma , Masatoshi Sato

The hyperbolic lattice (HBL) has emerged as a compelling platform for exploring matter in non-Euclidean space. Among its notable features, the breakdown of the conventional Bloch theorem stands out, prompting a reexamination of band theory,…

介观与纳米尺度物理 · 物理学 2025-09-30 Mengying Hu , Jing Lin , Kun Ding

We investigate novel features of three dimensional non-Hermitian Weyl semimetals, paying special attention to its unconventional bulk-boundary correspondence. We use the non-Bloch Chern numbers as the tool to obtain the topological phase…

介观与纳米尺度物理 · 物理学 2019-04-05 Xiaosen Yang , Yang Cao , Yunjia Zhai

The non-Hermitian skin effect is a topological phenomenon, resulting in the condensation of bulk modes near the boundaries. Due to the localization of bulk modes at the edges, boundary effects remain significant even in the thermodynamic…

介观与纳米尺度物理 · 物理学 2025-06-30 Shin Kaneshiro , Robert Peters

Green's functions of non-Hermitian systems play a fundamental role in various dynamical processes. Because non-Hermitian systems are sensitive to boundary conditions due to the non-Hermitian skin effect, open-boundary Green's functions are…

介观与纳米尺度物理 · 物理学 2023-10-24 Yu-Min Hu , Zhong Wang