Photonic analogues of the Haldane and Kane-Mele models
The condensed matter Haldane and Kane-Mele models revolutionized the understanding of what is an “insulator,” as they unveiled novel classes of media that behave as metals near the surface, but are insulating in the bulk. Here, we propose exact electromagnetic analogues of these two influential mode...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-05-01
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| Series: | Nanophotonics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nanoph-2019-0037 |
| _version_ | 1818358348666372096 |
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| author | Lannebère Sylvain Silveirinha Mário G. |
| author_facet | Lannebère Sylvain Silveirinha Mário G. |
| author_sort | Lannebère Sylvain |
| collection | DOAJ |
| description | The condensed matter Haldane and Kane-Mele models revolutionized the understanding of what is an “insulator,” as they unveiled novel classes of media that behave as metals near the surface, but are insulating in the bulk. Here, we propose exact electromagnetic analogues of these two influential models relying on a photonic crystal implementation of “artificial graphene” subject to an effective magnetic field. For the Haldane model, the required effective magnetic field for photons can be emulated with a spatially variable pseudo-Tellegen response. For the Kane-Mele model, the spin-orbit coupling can be mimicked using matched anisotropic dielectrics with identical permittivity and permeability, without requiring any form of bianisotropic couplings. Using full-wave numerical simulations and duality theory we verify that the nontrivial topology of the two proposed platforms results in the emergence of topologically protected gapless edge states at the interface with a trivial photonic insulator. Our theory paves the way for the emulation of the two condensed matter models in a photonic platform and determines another paradigm to observe topologically protected edge states in a fully reciprocal all-dielectric and non-uniform anisotropic metamaterial. |
| first_indexed | 2024-12-13T20:27:35Z |
| format | Article |
| id | doaj.art-7eb6259e59fa4fe38b42b472ccb4ba2e |
| institution | Directory Open Access Journal |
| issn | 2192-8606 2192-8614 |
| language | English |
| last_indexed | 2024-12-13T20:27:35Z |
| publishDate | 2019-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nanophotonics |
| spelling | doaj.art-7eb6259e59fa4fe38b42b472ccb4ba2e2022-12-21T23:32:30ZengDe GruyterNanophotonics2192-86062192-86142019-05-01881387139710.1515/nanoph-2019-0037nanoph-2019-0037Photonic analogues of the Haldane and Kane-Mele modelsLannebère Sylvain0Silveirinha Mário G.1Department of Electrical Engineering, University of Coimbra and Instituto de Telecomunicações, 3030-290 Coimbra, PortugalDepartment of Electrical Engineering, University of Coimbra and Instituto de Telecomunicações, 3030-290 Coimbra, PortugalThe condensed matter Haldane and Kane-Mele models revolutionized the understanding of what is an “insulator,” as they unveiled novel classes of media that behave as metals near the surface, but are insulating in the bulk. Here, we propose exact electromagnetic analogues of these two influential models relying on a photonic crystal implementation of “artificial graphene” subject to an effective magnetic field. For the Haldane model, the required effective magnetic field for photons can be emulated with a spatially variable pseudo-Tellegen response. For the Kane-Mele model, the spin-orbit coupling can be mimicked using matched anisotropic dielectrics with identical permittivity and permeability, without requiring any form of bianisotropic couplings. Using full-wave numerical simulations and duality theory we verify that the nontrivial topology of the two proposed platforms results in the emergence of topologically protected gapless edge states at the interface with a trivial photonic insulator. Our theory paves the way for the emulation of the two condensed matter models in a photonic platform and determines another paradigm to observe topologically protected edge states in a fully reciprocal all-dielectric and non-uniform anisotropic metamaterial.https://doi.org/10.1515/nanoph-2019-0037topological photonicsphotonic graphenesymmetry protected waveguidingpseudo magnetic field |
| spellingShingle | Lannebère Sylvain Silveirinha Mário G. Photonic analogues of the Haldane and Kane-Mele models Nanophotonics topological photonics photonic graphene symmetry protected waveguiding pseudo magnetic field |
| title | Photonic analogues of the Haldane and Kane-Mele models |
| title_full | Photonic analogues of the Haldane and Kane-Mele models |
| title_fullStr | Photonic analogues of the Haldane and Kane-Mele models |
| title_full_unstemmed | Photonic analogues of the Haldane and Kane-Mele models |
| title_short | Photonic analogues of the Haldane and Kane-Mele models |
| title_sort | photonic analogues of the haldane and kane mele models |
| topic | topological photonics photonic graphene symmetry protected waveguiding pseudo magnetic field |
| url | https://doi.org/10.1515/nanoph-2019-0037 |
| work_keys_str_mv | AT lanneberesylvain photonicanaloguesofthehaldaneandkanemelemodels AT silveirinhamariog photonicanaloguesofthehaldaneandkanemelemodels |