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.

arXiv comment35 pages, 12 figures

References in corpus (37)

• Topological Photonics
• Classification of topological quantum matter with symmetries
• Type-II Weyl Semimetals
• Experimental observation of Weyl points
• Weyl points and line nodes in gapless gyroid photonic crystals
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Nodal-chain metals
• Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
• Realization of a three-dimensional photonic topological insulator
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Experimental observation of optical Weyl points
• Nodal-link semimetals
• Band Topology and Linking Structure of Nodal Line Semimetals with Z2 Monopole Charges
• Non-Abelian band topology in noninteracting metals
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Non-Abelian reciprocal braiding of Weyl points and its manifestation in $\text{ZrTe}$
• Nodal-knot semimetals
• Infrared Topological Plasmons in Graphene
• Experimental discovery of nodal chains
• Experimental observation of non-Abelian topological charges and bulk-edge correspondence
• Observation of acoustic Landau quantization and quantum-Hall-like edge states
• Axial-field-induced chiral channels in an acoustic Weyl system
• Topological one-way fiber of second Chern number
• Jones polynomial and knot transitions in topological semimetals
• Observation of non-Abelian nodal links in photonics
• Observation of an unpaired photonic Dirac point
• Non-abelian topology of nodal-line rings in $\mathcal{P}\mathcal{T}$-symmetric systems
• Imaging nodal knots in momentum space through topolectrical circuits
• Observation of Three-dimensional Photonic Dirac points and Spin-polarized Surface Arcs
• Observation of quadratic Weyl points and double-helicoid arcs
• Gapless Unidirectional Photonic Transport Using All-Dielectric Kagome Lattices
• Soft self-assembly of Weyl materials for light and sound
• From triple-point materials to multiband nodal links
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Hopf-chain networks evolved from triple points
• Entangled multi-component 4D quantum Hall states from photonic crystal defects

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