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Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

Topological materials have been a main focus of studies in the past decade due to their protected properties that can be exploited for the fabrication of new devices. Among them, Weyl semimetals are a class of topological semimetals with…

Materials Science · Physics 2024-02-05 Davide Grassano , Luca Binci , Nicola Marzari

Exceptional points (EP) in non-Hermitian systems have been widely investigated due to their enhanced sensitivity in comparison to standard systems. In this letter, we report the observation of higher-order pseudo-Hermitian degeneracies in…

Applied Physics · Physics 2023-05-02 Ke Yin , Xianglin Hao , Yuangen Huang , Jianlong Zou , Xikui Ma , Tianyu Dong

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

Topological semimetals are some of the topological phases of matter most intensely-studied experimentally. The Weyl semimetal phase, in particular, has garned tremendous, sustained interest given fascinating signatures such as the Fermi arc…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 Adipta Pal , Ashley M. Cook

Topological insulators (TIs) and Weyl semimetals (WSMs) are two realizations of topological matter usually appearing separately in nature. However, they are directly related to each other via a topological phase transition. In this paper,…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Stefan Juergens , Björn Trauzettel

We show that two-dimensional non-Hermitian photonic crystals made of lossy material can exhibit non-trivial point gap topology in terms of topological winding in its complex frequency band structure. Such crystals can be either made of…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Janet Zhong , Kai Wang , Yubin Park , Viktar Asadchy , Charles C. Wojcik , Avik Dutt , Shanhui Fan

We propose a simple realization of the three-dimensional (3D) Weyl semimetal phase, utilizing a multilayer structure, composed of identical thin films of a magnetically-doped 3D topological insulator (TI), separated by ordinary-insulator…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , Leon Balents

Topological quantum materials, including topological insulators and superconductors, Dirac semimetals and Weyl semimetals, have attracted much attention recently for their unique electronic structure, spin texture and physical properties.…

Higher-order topological insulators (HOTIs) or multipole insulators, hosting peculiar corner states, were discovered [arXiv:1611.07987, arXiv:1708.03636]. It was independently discovered [arXiv:1702.00624] that continuum 5-dimensional (5D)…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Koji Hashimoto , Yoshinori Matsuo

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…

In contrast to conventional Weyl semimetals in achiral crystals, chiral topological semimetals in chiral crystals exhibit Weyl nodes at time-reversal-invariant momenta. A Fermi surface spin texture with parallel spin-momentum locking in…

Superconductivity · Physics 2025-08-12 Yingyi Huang

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…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Xiaosen Yang , Yang Cao , Yunjia Zhai

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…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Weiwei Zhu , Linhu Li

The Weyl semimetal (WSM) is a newly proposed quantum state of matter. It has Weyl nodes in bulk excitations and Fermi arcs surface states. We study the effects of disorder and localization in WSMs and find three exotic phase transitions.…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Chui-Zhen Chen , Juntao Song , Hua Jiang , Qing-feng Sun , Ziqiang Wang , X. C. Xie

We experimentally simulate in a photonic setting non-Hermitian (NH) metals characterized by the topological properties of their nodal band structures. Implementing nonunitary time evolution in reciprocal space followed by interferometric…

Quantum Physics · Physics 2021-07-13 Kunkun Wang , Lei Xiao , Jan Carl Budich , Wei Yi , Peng Xue

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

We characterise non-Hermitian Fabry-P\'erot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential models. We consider two non-Hermitian effects: the…

Mathematical Physics · Physics 2026-02-13 Habib Ammari , Erik Orvehed Hiltunen , Bowen Li , Ping Liu , Jiayu Qiu , Yingjie Shao , Alexander Uhlmann

The intrinsic nonlinear planar Hall effect proposed in recent studies offers a new way to probe intrinsic band geometric properties in a large class of materials. However, the search of material platforms with a large response remains a…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Fan Yang , Xu-Tao Zeng , Huiying Liu , Cong Xiao , Xian-Lei Sheng , Shengyuan A. Yang

Dissipation in mechanics, optics, acoustics, and electronic circuits is nowadays recognized to be not always detrimental but can be exploited to achieve non-Hermitian topological phases or properties with functionalities for potential…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Tao Yu , Ji Zou , Bowen Zeng , J. W. Rao , Ke Xia