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The recent realizations of topological valley phase in photonic crystal, an analog of gapped valleytronic materials in electronic system, are limited to the valley Chern number of one. In this letter, we present a new type of valley phase that can have large valley Chern number of two or three. The valley phase transitions between the different valley Chern numbers (from one to three) are realized by changing the configuration of the unit cell. We demonstrate that these new topological phases can guide the wave propagation robustly along the domain wall of sharp bent. Our results are promising for the exploration of new topological phenomena in photonic systems.
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Topological photonics and its topological edge state which can suppress scattering and immune defects set off a research boom. Recently, the quantum valley Hall effect (QVHE) with large valley Chern number and its multimode topological transmission have been realized, which greatly improve the mode density of the topological waveguide and its coupling efficiency with other photonic devices. The multifrequency QVHE and its topological transmission have been realized to increase the transmission capacity of topological waveguide, but multifrequency and multimode QVHE have not been realized simultaneously. In this Letter, the valley photonic crystal (VPC) is constructed with the Stampfli-triangle photonic crystal (STPC), and its degeneracies in the low-frequency and high-frequency bands are broken simultaneously to realize the multifrequency and multimode QVHE. The multifrequency and multimode topological transmission is realized through the U-shaped waveguide constructed with two VPCs with opposite valley Chern numbers. According to the bulk-edge correspondence principle, the Chern number is equal to the number of topological edge states or topological waveguide modes. Therefore, we can determine the valley Chern number of the VPC by the number of topological edge states or topological waveguide modes, further determine the realization of large valley Chern number. These results provide new ideas for high-efficiency and high-capacity optical transmission and communication devices and their integration, and broaden the application range of topological edge states.
The discovery of photonic topological insulators (PTIs) has opened the door to fundamentally new topological states of light.Current time-reversal-invariant PTIs emulate either the quantum spin Hall (QSH) effect or the quantum valley Hall (QVH) effect in condensed-matter systems, in order to achieve topological transport of photons whose propagation is predetermined by either photonic pseudospin (abbreviated as spin) or valley. Here we demonstrate a new class of PTIs, whose topological phase is not determined solely by spin or valley, but is controlled by the competition between their induced gauge fields. Such a competition is enabled by tuning the strengths of spin-orbit coupling (SOC) and inversion-symmetry breaking in a single PTI. An unprecedented topological transition between QSH and QVH phases that is hard to achieve in condensed-matter systems is demonstrated. Our study merges the emerging fields of spintronics and valleytronics in the same photonic platform, and offers novel PTIs with reconfigurable topological phases.
We experimentally demonstrate topological edge states arising from the valley-Hall effect in twodimensional honeycomb photonic lattices with broken inversion symmetry. We break inversion symmetry by detuning the refractive indices of the two honeycomb sublattices, giving rise to a boron nitride-like band structure. The edge states therefore exist along the domain walls between regions of opposite valley Chern numbers. We probe both the armchair and zig-zag domain walls and show that the former become gapped for any detuning, whereas the latter remain ungapped until a cutoff is reached. The valley-Hall effect provides a new mechanism for the realization of time-reversal invariant photonic topological insulators.
The classification of bandstructures by topological invariants provides a powerful tool for understanding phenomena such as the quantum Hall effect. This classification was originally developed in the context of electrons, but can also be applied to photonic crystals. In this paper we study the topological classification of the refractive index surfaces of two-dimensional photonic crystals. We consider crystals formed from birefringent materials, in which the constitutive relation provides an optical spin-orbit coupling. We show that this coupling, in conjunction with optical activity, can lead to a gapped set of index surfaces with non-zero Chern numbers. This method for designing photonic Chern insulators exploits birefringence rather than lattice structure, and does not require band crossings originating from specific lattice geometries.
We report a valley photonic crystal (VPhC) waveguide in a GaAs slab with InAs quantum dots (QDs) as an internal light source exploited for experimental characterization of the waveguide. A topological interface state formed at the interface between two topologically-distinct VPhCs is used as the waveguide mode. We demonstrate robust propagation for near-infrared light emitted from the QDs even under the presence of sharp bends as a consequence of the topological protection of the guided mode. Our work will be of importance for developing robust photonic integrated circuits with small footprints, as well as for exploring active semiconductor topological photonics.
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