Photonic Chern insulator through homogenization of an array of particles

Abstract

We propose a route towards creating a metamaterial that behaves as a photonic Chern insulator, through homogenization of an array of gyromagnetic cylinders. We show that such an array can exhibit non-trivial topological effects, including topologically non-trivial band gaps and one-way edge states, when it can be homogenized to an effective medium model that has the Berry curvature strongly peaked at the wavevector k=0. The non-trivial band topology depends only on the parameters of the cylinders and the cylinders' density, and can be realized in a wide variety of different lattices including periodic, quasi-periodic and random lattices. Our system provides a platform to explore the interplay between disorder and topology and also opens a route towards synthesis of topological meta-materials based on the self-assembly approach.

arXiv comment15 pages, 4 figures

References in corpus (27)

• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Imaging topological edge states in silicon photonics
• Scheme to Achieve Silicon Topological Photonics
• Robust optical delay lines via topological protection
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Topological Acoustics
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Topological Boundary Modes in Isostatic Lattices
• Weyl points and line nodes in gapless gyroid photonic crystals
• Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Topological phonon modes and their role in dynamic instability of microtubules
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Topological Photonic Phase in Chiral Hyperbolic Metamaterials
• Photonic gauge potential in a system with a synthetic frequency dimension
• Disorder-induced Floquet Topological Insulators
• Topological Insulators in Random Lattices
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Hyperbolic Weyl point in reciprocal chiral metamaterial
• Gauge Field Optics with Anisotropic Media
• Dirac Cones at k=0 in Phononic Crystals
• Berry phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material from a Classical Electromagnetics Perspective

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• Higher-order topological phases in crystalline and non-crystalline systems: a review
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• Structural and electronic properties of realistic two-dimensional amorphous topological insulators
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