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Related papers: Knotted Non-Hermitian Metals

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Non-Hermiticity has widespread applications in quantum physics. It brings about distinct topological phases without Hermitian counterparts, and gives rise to the fundamental challenge of phase classification from both theoretical and…

Non-Hermitian (NH) quantum systems host exceptional points (EPs), where eigenstates and eigenvalues coalesce, leading to unconventional many-body phenomena absent in Hermitian systems. While NH fermionic systems with complex interactions…

Quantum Gases · Physics 2025-09-23 Soma Takemori , Kazuki Yamamoto , Akihisa Koga

Topological features embedded in ancient braiding and knotting arts endow significant impacts on our daily life and even cutting-edge science. Recently, fast growing efforts are invested to the braiding topology of complex Bloch bands in…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Qicheng Zhang , Yitong Li , Huanfa Sun , Xun Liu , Luekai Zhao , Xiling Feng , Xiying Fan , Chunyin Qiu

The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we investigate the exceptional band-touching points…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Xizheng Zhang , Jiangbin Gong

The non-Hermiticity of the system gives rise to distinct knot topology that has no Hermitian counterpart. Here, we report a comprehensive study of the knot topology in gapped non-Hermitian systems based on the universal dilation method with…

Quantum Physics · Physics 2023-11-14 Yang Wu , Yunhan Wang , Xiangyu Ye , Wenquan Liu , Chang-Kui Duan , Ya Wang , Xing Rong , Jiangfeng Du

Topological semimetals feature a diversity of nodal manifolds including nodal points, various nodal lines and surfaces, and recently novel quantum states in non-Hermitian systems have been arousing widespread research interests. In contrast…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Kaifa Luo , Jiajin Feng , Y. X. Zhao , Rui Yu

We show a holographic model of a strongly coupled topological nodal line semimetal (NLSM) and find that the NLSM phase could go through a quantum phase transition to a topologically trivial state. The dual fermion spectral function shows…

High Energy Physics - Theory · Physics 2018-12-19 Yan Liu , Ya-Wen Sun

Symmetry is one of the cornerstones of modern physics and has profound implications in different areas. In symmetry-protected topological systems, symmetries are responsible for protecting surface states, which are at the heart of the…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 E. Slootman , W. Cherifi , L. Eek , R. Arouca , E. J. Bergholtz , M. Bourennane , C. Morais Smith

The layered WHM - type (W=Zr/Hf/La, H=Si/Ge/Sn/Sb, M=S/Se/Te) materials represent a large family of topological semimetals, which provides an excellent platform to study the evolution of topological semimetal state with the fine tuning of…

Materials Science · Physics 2018-04-04 Jin Hu , Yanglin Zhu , David Graf , Zhijie Tang , Zhiqiang Mao

Dispersionless bands -- flatbands -- have been actively studied thanks to their interesting properties and sensitivity to perturbations, which makes them natural candidates for exotic states. In parallel non-Hermitian systems have attracted…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Wulayimu Maimaiti , Alexei Andreanov

We study non-Hermitian higher-order Weyl semimetals (NHHOWSMs) possessing real spectra and having inversion $\mathcal{I}$ ($\mathcal{I}$-NHHOWSM) or time-reversal symmetry $\mathcal{T}$ ($\mathcal{T}$-NHHOWSM). When the reality of bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Sayed Ali Akbar Ghorashi , Tianhe Li , Masatoshi Sato

Although the homotopy-knot theory has been utilized to implement effective topological classification for non-Hermitian systems, the physical implications underlying distinct knot topologies remain ambiguous and are rarely addressed. In…

Quantum Physics · Physics 2026-02-27 Guoying Zhang , Li Wang , Shu Chen

Among non-Hermitian systems, pseudo-Hermitian phases represent a special class of physical models characterized by real energy spectra and by the absence of non-Hermitian skin effects. Here, we show that several pseudo-Hermitian phases in…

Mesoscale and Nanoscale Physics · Physics 2021-11-09 Yan-Qing Zhu , Wen Zheng , Shi-Liang Zhu , Giandomenico Palumbo

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…

Quantum Physics · Physics 2025-12-24 Debashish Dutta , Sayan Choudhury

Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While topological phenomena have recently been much investigated in…

Mesoscale and Nanoscale Physics · Physics 2020-11-16 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

Recent experimental advances in Floquet engineering and controlling dissipation in open systems have brought about unprecedented flexibility in tailoring novel phenomena without any static and Hermitian analogues. It can be epitomized by…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Chun-Hui Liu , Haiping Hu , Shu Chen

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…

Strongly Correlated Electrons · Physics 2021-11-17 Johannes Mitscherling , Walter Metzner

Recently, topological quantum states of non-Hermitian systems, exhibiting rich new exotic states, have attracted great attention in condensed-matter physics. As for the demonstration, most of non-Hermitian topological phenomena previously…

Mesoscale and Nanoscale Physics · Physics 2019-02-15 Huaiqiang Wang , Jiawei Ruan , Haijun Zhang

We demonstrate the occurrence of nodal non-Hermitian (NH) phases featuring exceptional degeneracies in chiral-symmetric disordered quantum wires, where NH physics naturally arises from the self-energy in a disorder-averaged Green's function…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Benjamin Michen , Tommaso Micallo , Jan Carl Budich