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We introduce a method to design topological mechanical metamaterials that are not constrained by Newtonian dynamics. The unit cells in a mechanical lattice are subjected to active feedback forces that are processed through autonomous…

介观与纳米尺度物理 · 物理学 2021-01-04 Lea Sirota , Roni Ilan , Yair Shokef , Yoav Lahini

The finding of non-Hermitian skin effect has revolutionized our understanding of non-Hermitian topological phases, where the usual bulk-boundary correspondence is broken and new topological phases specific to non-Hermitian system are…

介观与纳米尺度物理 · 物理学 2024-04-19 Weiwei Zhu , Linhu Li

We study the emergence of non-Hermitian band topology in a two-dimensional metal with planar spiral magnetism due to a momentum-dependent relaxation rate. A sufficiently strong momentum dependence of the relaxation rate leads to exceptional…

强关联电子 · 物理学 2021-11-17 Johannes Mitscherling , Walter Metzner

The fundamental concept underlying topological phenomena posits the geometric phase associated with eigenstates. In contrast to this prevailing notion, theoretical studies on time-varying Hamiltonians allow for a new type of topological…

量子物理 · 物理学 2025-11-27 Pengfei Lu , Yang Liu , Qifeng Lao , Teng Liu , Xinxin Rao , Ji Bian , Hao Wu , Feng Zhu , Le Luo

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not…

介观与纳米尺度物理 · 物理学 2020-03-04 Nobuyuki Okuma , Kohei Kawabata , Ken Shiozaki , Masatoshi Sato

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 demonstrate the existence of topologically nontrivial phase in a one-dimensional fermionic lattice system subjected to synthetic gauge fields, which is beyond the standard Altland-Zirnbauer classification of topological insulators. The…

强关联电子 · 物理学 2015-03-18 Linhu Li , Shu Chen

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…

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…

介观与纳米尺度物理 · 物理学 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz

Non-Hermitian nodal knot metals (NKMs) contains intricate complex-valued energy bands gives rise to knotted exceptional loops and new topological surface states. We introduce a formalism that connects the algebraic, geometric, and…

介观与纳米尺度物理 · 物理学 2021-03-02 Xiao Zhang , Guangjie Li , Yuhan Liu , Tommy Tai , Ronny Thomale , Ching Hua Lee

We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within the three-dimensional topological bulk embedding. We show…

The bulk-edge correspondence (BEC) is the hallmark of topological systems. In continuous (nonlattice) Hermitian systems with an unbounded wave vector, it was recently shown that the BEC of Chern insulators is modified. How would it be…

介观与纳米尺度物理 · 物理学 2023-02-13 Orr Rapoport , Moshe Goldstein

We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique…

其他凝聚态物理 · 物理学 2026-03-10 Mengjie Yang , Ching Hua Lee

Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple…

无序系统与神经网络 · 物理学 2022-02-18 Wenqian Han , Longwen Zhou

The non-Hermitian skin effect and nonreciprocal behavior are sensitive to the boundary conditions, which are unique features of non-Hermitian systems. The eigenenergies will become complex and all eigenstates are localized at the boundary,…

介观与纳米尺度物理 · 物理学 2024-07-15 Lei Chen , Zhen-Xia Niu , Xingran Xu

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…

量子物理 · 物理学 2023-11-06 Yue-Yu Zou , Yao Zhou , Li-Mei Chen , Peng Ye

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

We introduce and study a novel class of sensors whose sensitivity grows exponentially with the size of the device. Remarkably, this drastic enhancement does not rely on any fine-tuning, but is found to be a stable phenomenon immune to local…

介观与纳米尺度物理 · 物理学 2020-11-03 Jan Carl Budich , Emil J. Bergholtz

Recent years have seen a growing interest in topological phases beyond the standard paradigm of gapped, isolated systems. One recent direction is to explore topological features in non-hermitian systems that are commonly used as effective…

介观与纳米尺度物理 · 物理学 2026-02-03 Carlos Ortega-Taberner , Maria Hermanns

Berry phases have long been known to significantly alter the properties of periodic systems, resulting in anomalous terms in the semiclassical equations of motion describing wave-packet dynamics. In non-Hermitian systems, generalizations of…

介观与纳米尺度物理 · 物理学 2024-12-04 Bar Alon , Roni Ilan , Moshe Goldstein