Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy

Abstract

Electric and magnetic resonances of dielectric particles have recently uncovered a range of exciting applications in steering of light at the nanoscale. Breaking of particle inversion symmetry further modifies its electromagnetic response giving rise to bianisotropy known also as magneto-electric coupling. Recent studies suggest the crucial role of magneto-electric coupling in realization of photonic topological metamaterials. To further unmask this fundamental link, we design and test experimentally one-dimensional array composed of dielectric particles with overlapping electric and magnetic resonances and broken mirror symmetry. Flipping over half of the meta-atoms in the array, we observe the emergence of interface states providing photonic realization of the celebrated Jackiw-Rebbi model. We trace the origin of these states to the fact that local modification of particle bianisotropic response affects its effective coupling with the neighboring meta-atoms which provides a promising avenue to engineer topological states of light.

arXiv comment5 pages, 5 figures

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• Nonlocal response of Mie-resonant dielectric particles
• Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity
• Doublons, topology and interactions in a one-dimensional lattice
• Spontaneously-Induced Dirac Boundary State and Digitization in a Nonlinear Resonator Chain
• Dirac Wire
• Topological edge states in all-dielectric square-lattice arrays of bianisotropic microwave resonators
• Theoretical description of interface states in a tetragonal lattice of bianisotropic resonators