Topologically invisible defects in chiral mirror lattices
arXiv:2303.02029 · doi:10.1002/apxr.202300102
Abstract
One of the hallmark of topological insulators is having conductivity properties that are unaffected by the possible presence of defects. In this work, we go beyond backscattering immunity and obtain topological invisibility across defects or disorder. Using a combination of chiral and mirror symmetry, the transmission coefficient is guaranteed to be unity. Importantly, but no phase shift is induced making the defect completely invisible. Many lattices possess the chiral-mirror symmetry, and we choose to demonstrate the principle on an hexagonal lattice model with Kekule distortion displaying topological edge waves, and we show analytically and numerically that the transmission across symmetry preserving defects is unity. We then realize this lattice in an acoustic system, and confirm the invisibility with numerical experiments. We foresee that the versatility of our model will trigger new experiments to observe topological invisibility in various wave systems, such as photonics, cold atoms or elastic waves.
9+6 pages, 6+5 figures. Few minor corrections and clarifications. Match published version
References in corpus (26)
- Topological Photonics
- Scheme to Achieve Silicon Topological Photonics
- Acoustic topological insulator and robust one-way sound transport
- Observation of phononic helical edge states in a mechanical 'topological insulator'
- Observation of topological valley transport of sound in sonic crystals
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Topologically protected elastic waves in phononic metamaterials
- Novel Topological Phase with Zero Berry Curvature
- Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
- Valley Topological Phases in Bilayer Sonic Crystals
- Helical Topological Edge States in a Quadrupole Phase
- Observation of strong backscattering in valley-Hall photonic topological interface modes
- Pseudospins and topological effects of phonons in a Kekule lattice
- Quantifying the robustness of topological slow light
- Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
- Acoustic spin-Chern insulator induced by synthetic spin-orbit coupling with spin conservation breaking
- Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
- Mirror winding number and helical edge modes in honeycomb lattice with hopping-energy texture
- Of Bulk and Boundaries: Generalized Transfer Matrices for Tight-Binding Models
- Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to Su-Schrieffer-Heeger model
- Edge-dependent topology in Kekulé lattices
- Robustness of topological corner modes against disorder and application to acoustic networks
- Observation of topological gravity-capillary waves in a water wave crystal
- Non-conventional topological band properties and gapless helical edge states in elastic phononic waveguides with Kekulé distortion
- Topological two-dimensional Su-Schrieffer-Heeger analogue acoustic networks: Total reflection at corners and corner induced modes
- Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure