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Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a…

介观与纳米尺度物理 · 物理学 2023-08-03 Frank Schindler , Kaiyuan Gu , Biao Lian , Kohei Kawabata

We provide classification of gapless phases in non-Hermitian systems according to two types of complex-energy gaps: point gap and line gap. We show that exceptional points, at which not only eigenenergies but also eigenstates coalesce, are…

介观与纳米尺度物理 · 物理学 2020-04-22 Takumi Bessho , Kohei Kawabata , Masatoshi Sato

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

A prominent feature of some one-dimensional non-Hermitian systems is that all right-eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The topological and trivial phases are distinguished by the emergence of…

介观与纳米尺度物理 · 物理学 2019-07-17 Motohiko Ezawa

We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different "masses" and/or signs of the "non-Hermitian charge". The existence of these edge…

介观与纳米尺度物理 · 物理学 2017-01-25 Daniel Leykam , Konstantin Y. Bliokh , Chunli Huang , Y. D. Chong , Franco Nori

We demonstrate that the non-Hermitian parity-time (PT) symmetric interfaces formed between amplifying and lossy crystals support dissipationless edge states. These PT edge states exhibit gapless spectra in the complex band structure…

介观与纳米尺度物理 · 物理学 2018-10-24 Xiang Ni , Daria Smirnova , Alexander Poddubny , Daniel Leykam , Yidong Chong , Alexander B. Khanikaev

We study a non-Hermitian extension of the Creutz ladder with generic non-reciprocal hopping. By mapping the ladder onto two decoupled non-Hermitian Su--Schrieffer--Heeger (SSH) chains, we uncover a rich structure in parameter space under…

量子物理 · 物理学 2025-12-24 Debashish Dutta , Sayan Choudhury

Topological nodal-line semimetals are characterized by the line-contact bulk band crossings and the topological surface states. Breaking certain protecting symmetry turns this system into a Dirac semimetal or Weyl semimetal that hosts…

Band topology has been studied as a design principle of realizing robust boundary modes. Here, by exploring non-Hermitian topology, we propose a three-dimensional topological laser that amplifies surface modes. The topological surface laser…

介观与纳米尺度物理 · 物理学 2022-07-27 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

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

Topological physics relies on the existence of Hamiltonian's eigenstate singularities carrying a topological charge, such as quantum vortices, Dirac points, Weyl points and -- in non-Hermitian systems -- exceptional points (EPs), lines or…

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

Higher-order topological states that possess gapped bulk energy bands and exotic topologically protected boundary states with at least two dimension lower than the bulk have significantly opened a new perspective for understanding of…

量子气体 · 物理学 2023-07-31 Zhoutao Lei , Linhu Li , Yuangang Deng

Real-valued band structures are foundational to analyzing periodic systems within the Hermitian description and have been experimentally well-established over recent decades. In contrast, non-Hermitian systems exhibit complex band…

量子物理 · 物理学 2025-10-24 Jia-Xin Zhong , Jing Lin , Kai Chen , Jing Lu , Kun Ding , Yun Jing

Non-Hermitian systems exhibit interesting band structures, where novel topological phenomena arise from the existence of exceptional points at which eigenvalues and eigenvectors coalesce. One important open question is how this would…

介观与纳米尺度物理 · 物理学 2023-10-20 Marcus Stålhammar , Cristiane Morais Smith

We investigate anomalous localization phenomena in non-Hermitian systems by solving a class of generalized Su-Schrieffer-Heeger/Rice-Mele models and by relating their provenance to fundamental notions of topology, symmetry-breaking and…

光学 · 物理学 2024-01-29 Maria Zelenayova , Emil J. Bergholtz

Non-Hermitian physics, studying systems described by non-Hermitian Hamiltonians, reveals unique phenomena not present in Hermitian systems. Unlike Hermitian systems, non-Hermitian systems have complex eigenvalues, making their effects less…

Non-Hermiticity gives rise to distinctive topological phenomena absent in Hermitian systems. However, connection between such intrinsic non-Hermitian topology and Hermitian topology has remained largely elusive. Here, considering the bulk…

介观与纳米尺度物理 · 物理学 2025-01-07 Shu Hamanaka , Tsuneya Yoshida , Kohei Kawabata

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…