Crystalline metamaterials for topological properties at subwavelength scales

Abstract

The exciting discovery of topological condensed matter systems has lately triggered a search for their photonic analogs, motivated by the possibility of robust backscattering-immune light transport. However, topological photonic phases have so far only been observed in photonic crystals and waveguide arrays, which are inherently physically wavelength scaled, hindering their application in compact subwavelength systems. In this letter, we tackle this problem by patterning the deep subwavelength resonant elements of metamaterials onto specific lattices, and create crystalline metamaterials that can develop complex nonlocal properties due to multiple scattering, despite their very subwavelength spatial scale that usually implies to disregard their structure. These spatially dispersive systems can support subwavelength topological phases, as we demonstrate at microwaves by direct field mapping. Our approach gives a straightforward tabletop platform for the study of photonic topological phases, and allows to envision applications benefiting the compactness of metamaterials and the amazing potential of topological insulators.

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• Topological Valley Hall Edge State Lasing
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• Microwave Applications of Photonic Topological Insulators
• Transport tuning of photonic topological edge states by optical cavities
• Exciting Pseudospin Dependent Edge States in Plasmonic Metasurfaces
• Far-field subwavelength acoustic imaging by deep learning
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• Functional analytic methods for discrete approximations of subwavelength resonator systems
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• Topological bulk solitons in a nonlinear photonic Chern insulator
• $\pi$-fluxes, semi-metals and flat bands in artificial materials
• Locally Polarized Wave Propagation through Metamaterials' Crystallinity
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• Acoustic Birefringence via Non-Eulerian Metamaterials
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• Confining and channeling sound through coupled resonators
• Selective branching, quenching, and converting of topological modes
• Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend
• Experimental demonstration of an anomalous Floquet topological insulator based on negative-index media
• Effective Medium Perspective on Topological Transitions in Metamaterials
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• Overall constitutive description of symmetric layered media based on scattering of oblique SH waves
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