Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
arXiv:1707.02687 · doi:10.1103/PhysRevB.96.121405
Abstract
We numerically study amorphous analogues of a two-dimensional photonic Chern insulator. The amorphous lattices consist of gyromagnetic rods that break time-reversal symmetry, with the lattice sites generated by a close-packing algorithm. The level of short-range order is adjustable, and there is no long-range order. The topologically nontrivial gaps of the photonic Chern insulator are found to persist into the amorphous regime, so long as there is sufficient short-range order. Strongly nonreciprocal robust transmission occurs via edge states, which are shown to propagate ballistically despite the absence of long-range order, and to be exponentially localized along the lattice edge. Interestingly, there is an enhancement of nonreciprocal transmission even at very low levels of short-range order, where there are no discernable spectral gaps.
arXiv comment6 pages, 4 figures
References in corpus (32)
- Topological Photonics
- Photonic Floquet Topological Insulators
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- 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
- Analogs of quantum Hall effect edge states in photonic crystals
- Experimental observation of Weyl points
- Topological Phononic Crystals with One-Way Elastic Edge Waves
- Topological mechanics of gyroscopic metamaterials
- All-Si Valley-Hall Photonic Topological Insulator
- Weyl points and line nodes in gapless gyroid photonic crystals
- Floquet Topological Insulators for Sound
- Topological Anderson Insulator
- Observation of photonic anomalous Floquet Topological Insulators
- Designer disordered materials with large complete photonic band gaps
- Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
- Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
- Time Reversal Invariant Topologically Insulating Circuits
- Experimental Observation of Large Chern numbers in Photonic Crystals
- Experimental observation of optical Weyl points
- Two-Dimensionally Confined Topological Edge States in Photonic Crystals
- Disorder-induced Floquet Topological Insulators
- Topological Insulators in Random Lattices
- Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
- Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
- Measurement of a topological edge invariant in a microwave network
- Understanding the Frequency Distribution of Mechanically Stable Disk Packings
- Weak Field Phase Diagram for an Integer Quantum Hall Liquid
- Photonic Band Gap Effects in Two-dimensional Polycrystalline and Amorphous Structures
Cited by in corpus (29)
- Topological Photonics
- Higher-order topological insulators in amorphous solids
- A brief review of topological photonics in one, two, and three dimensions
- Amorphous photonic topological insulator
- Topological Amorphous Metals
- Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
- Nonlinear Topological Valley Hall Edge States Arising from Type-II Dirac Cones
- Local invariants identify topology in metals and gapless systems
- Photonic topological Anderson insulators
- Amorphous topological matter: theory and experiment
- Higher-order topological phases in crystalline and non-crystalline systems: a review
- Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
- Topological phase transitions in glassy quantum matter
- Symmetry-Protected Topological Phases in a Rydberg Glass
- Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
- Topological Anderson amorphous insulator
- Average Symmetry Protected Higher-order Topological Amorphous Insulators
- Density-driven higher-order topological phase transitions in amorphous solids
- Topological diffusive metal in amorphous transition metal monosilicides
- Quantum Hall effect and Landau levels without spatial long-range correlations
- Fractal Surface States in Three-Dimensional Topological Quasicrystals
- Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
- Emission of nitrogen-vacancy centers in diamond shaped by topological photonic waveguide modes
- Topological phases of amorphous matter
- Topological band insulators without translational symmetry
- Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires
- Three-Dimensional Quantum Hall Effect in Topological Amorphous Metals
- Valley-Hall-like second-order photonic topological insulators in Kagome lattice
- Non-self-averaging topological Anderson insulator