Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators

Abstract We theoretically study the Goos-Hänchen (GH) and Imbert–Fedorov (IF) shifts of a reflected Gaussian beam from a hyperbolic metasurface composed of graphene grating based on topological insulators (TIs). Perturbations are generated on the surface of TIs by applying a thin magnetic film, resu...

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Main Authors: Na Li, Yubo Li, Di Yu, Haoyuan Song, Qiang Zhang, Sheng Zhou, Shufang Fu, Xuanzhang Wang
Format: Article
Language:English
Published: Nature Portfolio 2024-11-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-80711-9
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author Na Li
Yubo Li
Di Yu
Haoyuan Song
Qiang Zhang
Sheng Zhou
Shufang Fu
Xuanzhang Wang
author_facet Na Li
Yubo Li
Di Yu
Haoyuan Song
Qiang Zhang
Sheng Zhou
Shufang Fu
Xuanzhang Wang
author_sort Na Li
collection DOAJ
description Abstract We theoretically study the Goos-Hänchen (GH) and Imbert–Fedorov (IF) shifts of a reflected Gaussian beam from a hyperbolic metasurface composed of graphene grating based on topological insulators (TIs). Perturbations are generated on the surface of TIs by applying a thin magnetic film, resulting in a broken time-reversal symmetry. The GH and IF shifts are greatly enhanced as a result of the combined interaction of the graphene grating and the topological magnetoelectric effect (TME). In particular, even with the p-polarized incident beam near Brewster angles, the magnitude of IF shifts is increased by approximately two orders when compared to the case without graphene or a single layer of graphene. A critical frequency is identified when the propagation model in TIs transitions from a surface wave to a bulk wave, which leads to comparatively substantial GH shifts with high reflection. By adjusting the filling ratio, chemical potential and rotation angle of the graphene grating, the shift of GH and IF can be controlled. The dependence of the spatial shifts on the TME and the degree of anisotropy of the TI are also discussed. Our results may provide new possibilities for applications of the TI with the TME.
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spelling doaj-art-01ff1b735ea04b70a1b18a5f364b77432024-12-01T12:19:45ZengNature PortfolioScientific Reports2045-23222024-11-0114111510.1038/s41598-024-80711-9Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulatorsNa Li0Yubo Li1Di Yu2Haoyuan Song3Qiang Zhang4Sheng Zhou5Shufang Fu6Xuanzhang Wang7Key Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityKey Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityKey Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityKey Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityKey Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityDepartment of Basic Courses, Guangzhou Maritime UniversityKey Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityKey Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education and School of Physics and Electronic Engineering, Harbin Normal UniversityAbstract We theoretically study the Goos-Hänchen (GH) and Imbert–Fedorov (IF) shifts of a reflected Gaussian beam from a hyperbolic metasurface composed of graphene grating based on topological insulators (TIs). Perturbations are generated on the surface of TIs by applying a thin magnetic film, resulting in a broken time-reversal symmetry. The GH and IF shifts are greatly enhanced as a result of the combined interaction of the graphene grating and the topological magnetoelectric effect (TME). In particular, even with the p-polarized incident beam near Brewster angles, the magnitude of IF shifts is increased by approximately two orders when compared to the case without graphene or a single layer of graphene. A critical frequency is identified when the propagation model in TIs transitions from a surface wave to a bulk wave, which leads to comparatively substantial GH shifts with high reflection. By adjusting the filling ratio, chemical potential and rotation angle of the graphene grating, the shift of GH and IF can be controlled. The dependence of the spatial shifts on the TME and the degree of anisotropy of the TI are also discussed. Our results may provide new possibilities for applications of the TI with the TME.https://doi.org/10.1038/s41598-024-80711-9Spatial shiftsHyperbolic metasurfaceThe topological magnetoelectric effectTopological insulators
spellingShingle Na Li
Yubo Li
Di Yu
Haoyuan Song
Qiang Zhang
Sheng Zhou
Shufang Fu
Xuanzhang Wang
Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators
Scientific Reports
Spatial shifts
Hyperbolic metasurface
The topological magnetoelectric effect
Topological insulators
title Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators
title_full Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators
title_fullStr Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators
title_full_unstemmed Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators
title_short Spatial shifts on a hyperbolic metasurface of graphene grating/topological insulators
title_sort spatial shifts on a hyperbolic metasurface of graphene grating topological insulators
topic Spatial shifts
Hyperbolic metasurface
The topological magnetoelectric effect
Topological insulators
url https://doi.org/10.1038/s41598-024-80711-9
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