Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

A Bouhon, QS Wu, RJ Slager, H Weng, OV Yazyev… - Nature Physics, 2020 - nature.com
… In stark contrast, here we report that Weyl points in systems that are symmetric … a non-Abelian
topological invariant. The topological charges of the Weyl points are transformed via braid

Non-Abelian reciprocal braiding of Weyl points and its manifestation in

A Bouhon, QS Wu, RJ Slager, H Weng… - arXiv preprint arXiv …, 2019 - arxiv.org
… Dirac points of twisted bilayer graphene [32–37]. We show that interplay of the non-Abelian
topology with point-… the range of topological phase transitions for Weyl points in 3D crystals. …

Non-Abelian braiding of Weyl nodes via symmetry-constrained phase transitions

S Chen, A Bouhon, RJ Slager, B Monserrat - Physical Review B, 2022 - APS
It is worth noting that unlike the situation in real space where … , Weyl nodes pinned on the
C2T-invariant planes in reciprocal … a platform for non-Abelian braiding and its manifestation in …

Non-Abelian Braiding of Topological Edge Bands

Y Long, Z Wang, C Zhang, H Xue, YX Zhao, B Zhang - Physical Review Letters, 2024 - APS
… In summary, we demonstrate the non-Abelian braiding topology of topological edge states
… Bzdušek, Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe, Nat. …

Observation of non-Abelian band topology without time-reversal symmetry

Y Hu, M Tong, T Jiang, J Jiang, H Chen… - arXiv preprint arXiv …, 2024 - arxiv.org
… frame in the reciprocal space around a band node yields the non-Abelian frame charge as
Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe. Nature Physics …

Non-Abelian frame charge flow in photonic media

D Wang, Y Wu, ZQ Zhang, CT Chan - Physical Review X, 2023 - APS
… Γ point to the Brillouin zone boundaries. Our results reveal that non-Abelian band topology
is intrinsically manifestedbraiding is embedded at the Γ point making it a generating source. …

Braid-protected topological band structures with unpaired exceptional points

JLK König, K Yang, JC Budich, EJ Bergholtz - Physical Review Research, 2023 - APS
… of a single, unpaired EP, manifested as a non-Abelian monopole in the Brillouin zone of a
… Bzdušek, Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe, Nat. …

Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions

B Jiang, A Bouhon, ZK Lin, X Zhou, B Hou, F Li… - Nature Physics, 2021 - nature.com
… the braiding that leads to the transfer of non-Abelian topological … k 1 and k 2 are the
wavevectors along the reciprocal … provides an indirect manifestation of the bulk braiding of the …

Minimal non-abelian nodal braiding in ideal metamaterials

H Qiu, Q Zhang, T Liu, X Fan, F Zhang, C Qiu - Nature Communications, 2023 - nature.com
… bulk non-abelian charges. Our findings pave the way for developing non-abelian topological
physics that is still in its … edge manifestations reflect faithfully the physics of the non-abelian

Unsupervised learning of topological non-Abelian braiding in non-Hermitian bands

Y Long, H Xue, B Zhang - Nature Machine Intelligence, 2024 - nature.com
… The presence of braiding topology can lead to the manifestation of the non-Hermitian skin
effect, where an extensive number of bulk modes get localized at an end of a sample, forming …