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Braid-protected topological band structures with unpaired exceptional points

J. Lukas K. König1, Kang Yang1,2, Jan Carl Budich3, and Emil J. Bergholtz1,*

  • 1Department of Physics, Stockholm University, AlbaNova University Center, 10691 Stockholm, Sweden
  • 2Dahlem Center for Complex Quantum Systems and Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany
  • 3Institute of Theoretical Physics, Technische Universität Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, 01062 Dresden, Germany

  • *emil.bergholtz@fysik.su.se

Spectral Riemann sheet topology of gapped non-Hermitian systems

Anton Montag, Alexander Felski, and Flore K. Kunst

SciPost Phys. 20 133 (2026)

Exceptional topology on nonorientable manifolds

J. Lukas K. König, Kang Yang, André Grossi Fonseca, Sachin Vaidya, Marin Soljačić, and Emil J. Bergholtz

Phys. Rev. Research 8 013233 (2026)

Observation of Braid-Protected Unpaired Exceptional Points

Kunkun Wang, J. Lukas K. König, Kang Yang, Lei Xiao, Wei Yi, Emil J. Bergholtz, and Peng Xue

Phys. Rev. Lett. 136 056602 (2026)

Constructing exceptional knots and links with arbitrary braiding topology

Bin Jiang, Aolong Guo, Qilin Cai, and Jian-Hua Jiang

Phys. Rev. B 114 185125 (2026)

Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains

Heming Wang and Shanhui Fan

Phys. Rev. A 113 013508 (2026)

Simulation of a Floquet non-Abelian topological insulator with photonic quantum walks

Quan Lin, Tianyu Li, Haiping Hu, Wei Yi, and Peng Xue

Nat. Photon. 20 532 (2026)

Counterintuitive collision of exceptional points on nonorientable manifolds

Weijia Wang, Qicheng Zhang, Kun Zhang, Shuaishuai Tong, and Chunyin Qiu

Nat Commun 17 9638 (2026)

Non-Hermitian exceptional topology on a Klein bottle photonic circuit

Ze-Sheng Xu, J. Lukas K. König, Andrea Cataldo, Rohan Yadgirkar, Govind Krishna, Venkatesh Deenadayalan, Val Zwiller, Stefan Preble, Emil J. Bergholtz, Jun Gao, and Ali W. Elshaari

Light Sci Appl 15 390 (2026)

Experimental Observation of Non‐Abelian D4 Permutations in Non‐Hermitian System

Jia‐Ming Ren, Yi‐Tao Wang, Jia‐Yun Ning, Lin‐Sheng Bao, Zhao‐An Wang, Xiao‐Dong Zeng, Chun Ao, Wei Liu, Nai‐Jie Guo, Lin‐Ke Xie, Jun‐You Liu, Yu‐Hang Ma, Ya‐Qi Wu, Jian‐Shun Tang, Jian‐Jun Liu, Chuan‐Feng Li, and Guang‐Can Guo

Laser & Photonics Reviews e71724 (2026)

Quantum sensing with driven-dissipative Su-Schrieffer-Heeger lattices

Oscar Arandes and Emil J. Bergholtz

Phys. Rev. Research 7 013309 (2025)

Abelian spectral topology of multifold exceptional points

Marcus Stålhammar and Lukas Rødland

Phys. Rev. Research 7 033246 (2025)

Winding topology of multifold exceptional points

Tsuneya Yoshida, J. Lukas K. König, Lukas Rødland, Emil J. Bergholtz, and Marcus Stålhammar

Phys. Rev. Research 7 L012021 (2025)

Enhanced sensitivity in non-Hermitian systems at infernal points

Shu-Xuan Wang and Zhongbo Yan

Phys. Rev. Research 7 L022037 (2025)

Emergence of imaginary time crystals in the non-Hermitian Su-Schrieffer-Heeger model

E. Slootman, L. Eek, C. Morais Smith, and R. Arouca

Phys. Rev. B 112 085149 (2025)

Experimental evidence of non-Abelian conservation rule for multiple interacting exceptional points

Qicheng Zhang, Yufei Leng, Cui-Xian Guo, Liangjun Qi, Shuaishuai Tong, Haiping Hu, and Chunyin Qiu

Phys. Rev. B 112 L020101 (2025)

Exceptional non-Hermitian topology associated with nontoroidal Brillouin zones

W. B. Rui and Z. D. Wang

Phys. Rev. B 112 L041127 (2025)

Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues

Tsuneya Yoshida, Takuma Isobe, and Yasuhiro Hatsugai

Phys. Rev. B 111 064310 (2025)

Topological transitions in quantum jump dynamics: Hidden exceptional points

Andrei I. Pavlov, Yuval Gefen, and Alexander Shnirman

Phys. Rev. B 111 104301 (2025)

Higher-order topological knots and the classification of non-Hermitian lattices under Cn symmetry

Yifan Wang and Wladimir A. Benalcazar

Phys. Rev. B 111 205123 (2025)

Spatially modulated atomic ensemble for real-space band braiding

Ying Zhang, Lifeng Liu, Tianze Sheng, Yueping Niu, and Shangqing Gong

Phys. Rev. A 112 033522 (2025)

Nonorientable exceptional points in the Klein Brillouin zone

Jung-Wan Ryu, Jae-Ho Han, Moon Jip Park, Hee Chul Park, and Chang-Hwan Yi

Phys. Rev. A 112 052223 (2025)

Pseudo-Hermitian topology in multiband non-Hermitian systems

Jung-Wan Ryu, Jae-Ho Han, Chang-Hwan Yi, Hee Chul Park, and Moon Jip Park

Phys. Rev. A 111 042205 (2025)

Non-Hermitian non-Abelian topological transition in the S = 1 electron spin system of a nitrogen vacancy centre in diamond

Yunhan Wang, Yang Wu, Xiangyu Ye, Chang-Kui Duan, Ya Wang, Haiping Hu, Xing Rong, and Jiangfeng Du

Nat. Nanotechnol. 20 873 (2025)

Topological fractal braiding of non-Hermitian bands

Wenhui Cao, Xianru Qin, Weixuan Zhang, Xiaoqi Zhou, and Xiangdong Zhang

Commun Phys 8 391 (2025)

Non-Abelian topological charge of photons in periodic/non-periodic media and non-Hermitian systems

Haedong Park, Ananya Ghatak, and Sang Soon Oh

Advances in Physics: X 10 2477693 (2025)

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