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Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

量子物理 · 物理学 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\nu_E$ and $\nu_{total}$, associated with complex energy vorticity and…

介观与纳米尺度物理 · 物理学 2018-11-16 Hui Jiang , Chao Yang , Shu Chen

A non-Hermitian system is characterized by the violation of energy conservation. As a result of unbalanced gain or loss in the forward and backward directions due to non-reciprocal couplings, the eigenmodes of such systems exhibit extreme…

介观与纳米尺度物理 · 物理学 2021-08-04 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

Topological semimetals exhibit protected band crossings in momentum space, accompanied by corresponding surface states. Non-Hermitian Hamiltonians introduce geometry-sensitive features that dissolve this bulk-boundary correspondence…

介观与纳米尺度物理 · 物理学 2025-06-18 Megan Schoenzeit , Chang Shu , Kai Zhang , Kai Sun

This work delves into the energy localization in non-Hermitian systems, particularly focusing on the effects of topological defects in spherical models. We analyze the mode distribution changes in non-Hermitian Su-Schrieffer-Heeger (SSH)…

应用物理 · 物理学 2024-02-06 Xizhou Shen , Xiumei Wang , Haotian Guo , Xingping Zhou

Band degeneracies, ranging from Hermitian Dirac points to non-Hermitian exceptional points (EPs), play a central role in topological phase transitions. Beyond the topology of individual degeneracies, their mutual interactions yield richer…

介观与纳米尺度物理 · 物理学 2026-01-07 Weijia Wang , Qicheng Zhang , Kun Zhang , Shuaishuai Tong , Chunyin Qiu

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept…

介观与纳米尺度物理 · 物理学 2021-03-03 Emil J. Bergholtz , Jan Carl Budich , Flore K. Kunst

Topological phases of Hermitian systems are known to exhibit intriguing properties such as the presence of robust boundary states and the famed bulk-boundary correspondence. These features can change drastically for their non-Hermitian…

介观与纳米尺度物理 · 物理学 2019-07-01 Flore K. Kunst , Vatsal Dwivedi

In this work, we explore interesting consequences arising from the coupling between a clean non-Hermitian chain with skin localization and a delocalized chain of the same length under various boundary conditions (BCs). We reveal that in the…

介观与纳米尺度物理 · 物理学 2026-05-01 Sen Mu , Longwen Zhou , Linhu Li , Jiangbin Gong

Non-Hermitian topological phases exhibit a number of exotic features that have no Hermitian counterparts, including the skin effect and breakdown of the conventional bulk-boundary correspondence. Here, we implement the non-Hermitian…

Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization…

介观与纳米尺度物理 · 物理学 2024-10-25 Cui-Xian Guo , Luhong Su , Yongliang Wang , Li Li , Jinzhe Wang , Xinhui Ruan , Yanjing Du , Dongning Zheng , Shu Chen , Haiping Hu

Band structures of metamaterials described by a nonlinear eigenvalue problem are beyond the existing topological band theory. In this paper, we analyze non-Hermitian topology under the nonlinearity of eigenvalues. Specifically, we elucidate…

介观与纳米尺度物理 · 物理学 2025-02-19 Tsuneya Yoshida , Takuma Isobe , Yasuhiro Hatsugai

We revisit the problem of classifying topological band structures in non-Hermitian systems. Recently, a solution has been proposed, which is based on redefining the notion of energy band gap in two different ways, leading to the so-called…

数学物理 · 物理学 2020-05-20 Charles C. Wojcik , Xiao-Qi Sun , Tomáš Bzdušek , Shanhui Fan

We show topological configurations of the complex-valued spectra in gapped non-Hermitian systems. These arise when the distinctive EPs in the energy Riemann sheets of such models are annihilated after threading them across the boundary of…

量子物理 · 物理学 2026-05-15 Anton Montag , Alexander Felski , Flore K. Kunst

We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify "gapped"…

介观与纳米尺度物理 · 物理学 2018-04-11 Huitao Shen , Bo Zhen , Liang Fu

The non-Hermitian skin effect is an intriguing physical phenomenon, in which all eigen-modes of a non-Hermitian lattice become localized at boundary regions. While such an exotic behavior has been demonstrated in various physical platforms,…

应用物理 · 物理学 2025-01-27 Mathieu Padlewski , Romain Fleury , Hervé Lissek

Exceptional points (EPs) are peculiar band singularities and play a vital role in a rich array of unusual optical phenomena and non-Hermitian band theory. In this paper, we provide a topological classification of isolated EPs based on…

介观与纳米尺度物理 · 物理学 2022-06-29 Haiping Hu , Shikang Sun , Shu Chen

The exotic physics emerging in non-Hermitian systems with balanced distributions of gain and loss has drawn a great deal of attention in recent years. These systems exhibit phase transitions and exceptional point singularities in their…

光学 · 物理学 2021-03-17 Arik Bergman , Robert Duggan , Kavita Sharma , Moshe Tur , Avi Zadok , Andrea Alu

Non-Hermitian systems can host topological states with novel topological invariants and bulk-edge correspondences that are distinct from conventional Hermitian systems. Here we show that two unique classes of non-Hermitian 2D topological…

介观与纳米尺度物理 · 物理学 2021-03-10 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

Non-Hermitian systems host band degeneracies that are fundamentally distinct from those in Hermitian systems, most notably exceptional points (EPs) where both eigenvalues and eigenvectors coalesce. In three dimensional (3D) non-Hermitian…

介观与纳米尺度物理 · 物理学 2026-03-12 Bin Jiang , Aolong Guo , Qilin Cai , Jian-Hua Jiang