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Nodal lines in momentum space: topological invariants and recent realizations in photonic and other systems

Park, Haedong, Gao, Wenlong, Zhang, Xiao and Oh, Sang Soon ORCID: https://orcid.org/0000-0003-3093-7016 2022. Nodal lines in momentum space: topological invariants and recent realizations in photonic and other systems. Nanophotonics 11 (11) , pp. 2779-2801. 10.1515/nanoph-2021-0692

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Abstract

Topological insulators constitute one of the most intriguing phenomena in modern condensed matter theory. The unique and exotic properties of topological states of matter allow for unidirectional gapless electron transport and extremely accurate measurements of the Hall conductivity. Recently, new topological effects occurring at Dirac/Weyl points have been better understood and demonstrated using artificial materials such as photonic and phononic crystals, metamaterials and electrical circuits. In comparison, the topological properties of nodal lines, which are one-dimensional degeneracies in momentum space, remain less explored. Here, we explain the theoretical concept of topological nodal lines and review recent and ongoing progress using artificial materials. The review includes recent demonstrations of non-Abelian topological charges of nodal lines in momentum space and examples of nodal lines realized in photonic and other systems. Finally, we will address the challenges involved in both experimental demonstration and theoretical understanding of topological nodal lines.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QC Physics
Additional Information: This work is licensed under the Creative Commons Attribution 4.0 International License.
Publisher: De Gruyter
ISSN: 2192-8614
Funders: European Regional Development Fund
Date of First Compliant Deposit: 4 February 2022
Date of Acceptance: 17 January 2022
Last Modified: 10 Nov 2022 10:31
URI: https://orca.cardiff.ac.uk/id/eprint/147153

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