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Article: Experimental observation of non-Abelian topological charges and edge states

TitleExperimental observation of non-Abelian topological charges and edge states
Authors
Issue Date2021
PublisherNature Research (part of Springer Nature). The Journal's web site is located at http://www.nature.com/nature
Citation
Nature, 2021, v. 594 n. 7862, p. 195-200 How to Cite?
AbstractIn the last few decades, topological phase1–11 has emerged as a new classification of matter states beyond the Ginzburg–Landau symmetry-breaking paradigm. The underlying global invariant is usually well characterized by integers, such as Chern numbers or winding numbers—the Abelian charges12–15. Very recently, researchers proposed the notion of non-Abelian topological charges16–19, which possess non-commutative and fruitful braiding structures with multiple (more than one) bandgaps tangled together. Here we experimentally observe the non-Abelian topological charges in a time-reversal and inversion-symmetric transmission line network. The quaternion-valued non-Abelian topological charges are clearly mapped onto an eigenstate-frame sphere. Moreover, we find a non-Abelian quotient relation that provides a global perspective on the distribution of edge/domain-wall states. Our work opens the door towards characterization and manipulation of non-Abelian topological charges, which may lead to interesting observables such as trajectory-dependent Dirac/Weyl node collisions in two-dimensional systems16,17,20, admissible nodal line configurations in three dimensions16,19,20, and may provide insight into certain strongly correlated phases of twisted bilayer graphene21. © 2021, The Author(s), under exclusive licence to Springer Nature Limited.
Persistent Identifierhttp://hdl.handle.net/10722/300954
ISSN
2020 Impact Factor: 49.962
2015 SCImago Journal Rankings: 21.936

 

DC FieldValueLanguage
dc.contributor.authorGuo, Q-
dc.contributor.authorJiang, T-
dc.contributor.authorZhang, RY-
dc.contributor.authorZhang, L-
dc.contributor.authorZhangv, ZQ-
dc.contributor.authorYang, B-
dc.contributor.authorZhang, S-
dc.contributor.authorChan, CT-
dc.date.accessioned2021-07-06T03:12:32Z-
dc.date.available2021-07-06T03:12:32Z-
dc.date.issued2021-
dc.identifier.citationNature, 2021, v. 594 n. 7862, p. 195-200-
dc.identifier.issn0028-0836-
dc.identifier.urihttp://hdl.handle.net/10722/300954-
dc.description.abstractIn the last few decades, topological phase1–11 has emerged as a new classification of matter states beyond the Ginzburg–Landau symmetry-breaking paradigm. The underlying global invariant is usually well characterized by integers, such as Chern numbers or winding numbers—the Abelian charges12–15. Very recently, researchers proposed the notion of non-Abelian topological charges16–19, which possess non-commutative and fruitful braiding structures with multiple (more than one) bandgaps tangled together. Here we experimentally observe the non-Abelian topological charges in a time-reversal and inversion-symmetric transmission line network. The quaternion-valued non-Abelian topological charges are clearly mapped onto an eigenstate-frame sphere. Moreover, we find a non-Abelian quotient relation that provides a global perspective on the distribution of edge/domain-wall states. Our work opens the door towards characterization and manipulation of non-Abelian topological charges, which may lead to interesting observables such as trajectory-dependent Dirac/Weyl node collisions in two-dimensional systems16,17,20, admissible nodal line configurations in three dimensions16,19,20, and may provide insight into certain strongly correlated phases of twisted bilayer graphene21. © 2021, The Author(s), under exclusive licence to Springer Nature Limited.-
dc.languageeng-
dc.publisherNature Research (part of Springer Nature). The Journal's web site is located at http://www.nature.com/nature-
dc.relation.ispartofNature-
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: https://doi.org/[insert DOI]-
dc.titleExperimental observation of non-Abelian topological charges and edge states-
dc.typeArticle-
dc.identifier.emailZhang, S: shuzhang@hku.hk-
dc.identifier.authorityZhang, S=rp02759-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1038/s41586-021-03521-3-
dc.identifier.pmid34108697-
dc.identifier.scopuseid_2-s2.0-85107508930-
dc.identifier.hkuros323171-
dc.identifier.volume594-
dc.identifier.issue7862-
dc.identifier.spage195-
dc.identifier.epage200-
dc.publisher.placeUnited Kingdom-

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