Non-Abelian charged nodal links in dielectric photonic crystal

Abstract

A nodal link is a special form of a line degeneracy (a nodal line) between adjacent bands in the momentum space of a three-dimensional topological crystal. Unlike nodal chains or knots, a nodal link consists of two or more mutually-linked rings that do not touch each other. Recent studies on non-Abelian band topology revealed that the topological charges of the nodal links can have the properties of quaternions. However, a photonic crystal that has a nodal link with non-Abelian charges has not been reported. Here, we propose dielectric photonic crystals in forms of double diamond structures which realize the nodal links in the momentum space. By examining the evolution of the eigenstate correlations along the closed loops which enclose the nodal line(s) of the links, their non-Abelian topological charges are also analyzed. The proposed design scheme and theoretical approach in this work will allow for experimental observation of photonic non-Abelian charges in purely dielectric materials and facilitate the control of the degeneracy in complex photonic structures.

35 pages, 12 figures

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Cited by in corpus (13)

• A brief review of topological photonics in one, two, and three dimensions
• Hybrid topological photonic crystals
• Experimental observation of non-Abelian earring nodal links in phononic crystals
• Floquet Non-Abelian Topological Insulator and Multifold Bulk-Edge Correspondence
• Phase transitions of non-Abelian charged nodal links in a spring-mass system
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Photonic nodal lines with quadrupole Berry curvature distribution
• Hermitian Topologies originating from non-Hermitian braidings
• Demonstration of non-Abelian frame charge flow in photonic crystals
• Morse theory study on the evolution of nodal lines in $\mathcal{P}\mathcal{T}$-symmetric nodal-line semimetals
• Euler band topology in superfluids and superconductors
• Three-dimensional spinless Euler insulators with rotational symmetry
• Hinge modes of three-dimensional Euler insulators