Effective Medium Perspective on Topological Transitions in Metamaterials

Abstract

Many properties of photonic structures rely on band topology characterized by the integer invariants that can change during the topological transitions and give rise to the disorder-robust topological edge, corner, or interface states. Typically the periods of such structures are comparable to the wavelength. However, in many cases, the unit cell becomes deeply subwavelength and hence the entire metamaterial can be described in terms of the effective material parameters. Here, focusing on subwavelength topological metamaterials, we identify the behavior of permittivity and permeability accompanying the topological transition on the example of the two structures possessing $D_6$ symmetry.

References in corpus (24)

• Topological Insulators
• Berry Phase Effects on Electronic Properties
• Topological Photonics
• Topological Photonics
• Scheme to Achieve Silicon Topological Photonics
• Topological Acoustics
• A topological quantum optics interface
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• Strong spatial dispersion in wire media in the very large wavelength limit
• Topological protection of photonic mid-gap cavity modes
• Exciton-polariton topological insulator
• Visualization of unidirectional optical waveguide using topological photonic crystals made of dielectric material
• First-Principle Homogenization Theory for Periodic Metamaterials
• Topological Polaritons
• Angle-resolved photoemission spectroscopy and its application to topological materials
• A Metamaterial Homogenization Approach with Application to the Characterization of Microstructured Composites with Negative Parameters
• Crystalline metamaterials for topological properties at subwavelength scales
• Third-harmonic generation in photonic topological metasurfaces
• Topological non-Hermitian origin of surface Maxwell waves
• Bulk-edge correspondence for topological photonic continua
• ${\mathbb{Z}}_2$ Topological Index for Continuous Photonic Materials
• Boundary conditions for the effective-medium description of subwavelength multilayered structures
• Nonlocality in uniaxially polarizable media
• Chern Invariants of Topological Continua; a Self-Consistent Nonlocal Hydrodynamic Model