Topological phase transition and surface states in a non-Abelian charged nodal line photonic crystal
Abstract: Topological charges of nodal lines in a multigap system are represented by non-Abelian numbers, and the Euler class, a topological invariant, can be used to explain their topological phase transitions, such as pair-annihilation of nodal lines. Up until now, no discussion of phase transitions of nodal lines in photonic crystals using the Euler class has been reported, despite the fact that the Euler class and topological phase transition have recently been addressed in metallic or acoustic crystals. Here, we show how the deformation of a photonic crystal causes topological phase transitions in the nodal lines, and the Euler class can be used to theoretically predict the nodal lines’ stability based on the non-Abelian topological charge theory. Specifically, by manipulating the separation between the two single diamond structures and the extent of structural distortion, we numerically demonstrate the topological transition of nodal lines, e.g., from nodal lines to nodal rings. We then demonstrate that the range of surface states is strongly influenced by the topological phase transition of nodal lines. Moreover, the Zak phase was used to explain the surface states’ existence.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Topological phase transition and surface states in a non-Abelian charged nodal line photonic crystal ; volume:13 ; number:7 ; year:2024 ; pages:1079-1089 ; extent:11
Nanophotonics ; 13, Heft 7 (2024), 1079-1089 (gesamt 11)
- Creator
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Park, Haedong
Jones, Alexander
Kim, Minkyung
Oh, Sang Soon
- DOI
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10.1515/nanoph-2023-0906
- URN
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urn:nbn:de:101:1-2024032714411741529870
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:57 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Park, Haedong
- Jones, Alexander
- Kim, Minkyung
- Oh, Sang Soon
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