Erratum: Topological Optical Waveguiding in Silicon and the Transition between Topological and Trivial Defect States [Phys. Rev. Lett.<b>116</b>, 163901 (2016)]

Blanco‐Redondo, Andrea; Andonegui, Imanol; Collins, Matthew J.; Harari, Gal; Lumer, Yaakov; Rechtsman, Mikael C.; Eggleton, Benjamin J.; Segev, Mordechai

doi:10.1103/physrevlett.117.129901

Cited by 36 publications

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“…Experimentally, topological properties of light have been studied in various systems, such as onedimensional gratings, [4] two-dimensional lattices [5][6][7][8] and three-dimensional photonic crystals [9]. Using spectroscopic techniques at microwave frequencies, photonic band structures and edge modes were mapped out and proven to be topological.…”

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confidence: 99%

Probing the Band Structure of Topological Silicon Photonic Lattices in the Visible Spectrum

et al. 2019

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We study two-dimensional hexagonal photonic lattices of silicon Mie resonators with a topological optical band structure in the visible spectral range. We use 30 keV electrons focused to nanoscale spots to map the local optical density of states in topological photonic lattices with deeply subwavelength resolution. By slightly shrinking or expanding the unit cell, we form hexagonal superstructures and observe the opening of a bandgap and a splitting of the double-degenerate Dirac cones, which correspond to topologically trivial and non-trivial phases. Optical transmission spectroscopy shows evidence of topological edge states at the domain walls between topological and trivial lattices.

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confidence: 99%

Probing the Band Structure of Topological Silicon Photonic Lattices in the Visible Spectrum

et al. 2019

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“…The variation of the calculated/measured electronic band structures is the criteria of the TST, which produces a change of the topological invariance such as the Chern number [15]. In spite of a plethora of progresses in the realizations of the topological state in photonics [16][17][18][19][20][21][22][23][24][25][26], the research on the TST in optical regime is limited [27][28][29][30]. Similarly, the illustration of state transition in photonic systems requires the evaluation of the topological invariance from the photonic band structures or isofrequency surfaces.…”

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confidence: 99%

Disorder-Induced Topological State Transition in Photonic Metamaterials

et al. 2017

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The topological state transition has been widely studied based on the quantized topological band invariant such as the Chern number for the system without intense randomness that may break the band structures. We numerically demonstrate the disorder-induced state transition in the photonic topological systems for the first time. Instead of applying the ill-defined topological band invariant in a disordered system, we utilize an empirical parameter to unambiguously illustrate the state transition of the topological metamaterials. Before the state transition, we observe a robust surface state with well-confined electromagnetic waves propagating unidirectionally, immune to the disorder from permittivity fluctuation up to 60% of the original value. During the transition, a hybrid state composed of a quasiunidirectional surface mode and intensively localized hot spots is established, a result of the competition between the topological protection and Anderson localization.

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“…Topologically protected edge states in photonic crystals show great potential for applications in the fields of integrated photonic circuits and ultrahigh‐speed information processing chips owing to their unique properties including the elimination of backscattering and immunity to structural disorder. Various approaches have been proposed to demonstrate topological edge modes in photonic crystals, such as the use of 1D dielectric photonic crystals, 1D lattices of evanescently coupled optical waveguide, diatomic chains of nanoparticles, 2D photonic crystals composed of ferromagnetic garnet rods or high‐dielectric cylinders, honeycomb photonic lattices, photonic crystals (PCs) with C 6 v symmetry, and 3D gyroid photonic crystals . The topological edge state (TES) plays a key role in the study of topological physics for bulk‐edge correspondence.…”

Section: Introductionmentioning

confidence: 99%

Thermo‐optical Tunable Ultracompact Chip‐Integrated 1D Photonic Topological Insulator

Gao

et al. 2017

Advanced Optical Materials

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study of topological physics for bulk-edge correspondence. It is difficult to directly observe the topological properties of the bulk band, but instead one can explore it by probing the TES. [28][29][30] Although the topological edge state in 2D-and 3D-topological systems can transport unidirectionally, this requires complex design and fabrication processes; hence, very few of these structures have an experimentally observed TES at optical or communication frequencies. [30,31] Chan [1] et al. first used the Zak phase [32] to predict the photonic TES in the 1D PC heterostructure system. The method they proposed was convenient for designing a TES in different bandgaps of the 1D PC heterostructure. [2,4,5] The edge local TES can induce photons to transmit through the PCs at frequencies in the bandgap, which offers a new way to control photon transportation. However, the use of a PC heterostructure to control photon transportation in 1D PCs means that the light should propagate normal to the films, which is unsuitable for integrated photonic circuits.To extend applications of photonic topology in integrated photonic circuits, we propose the use of 1D-grating heterostructures to generate topological edge states. The grating resembles the 1D PC according to the similarity of the Bragg scattering effect when photons propagate along lattice periods. The 1D-grating heterostructure has advantages in terms of both ease of design and the relatively simple fabrication processes compared with those for 2D-and 3D-topological systems. Furthermore, the film-parallel transportation, communication wavelength range design and the compact size might allow for practical integration of 1D photonic topology with on-chip platforms. We first designed grating heterostructures from a 1D PC heterostructure and showed their similarity and the feasibility of constructing a TES in the grating heterostructure. We then fabricated the Si/SiO 2 grating heterostructure to verify the TES transmission peak in an experiment. Finally, we realized a thermally tunable topological grating heterostructure with a metalinsulator transition material vanadium dioxide (VO 2 ), enabling control of the TES and photon propagation in the bandgap. From 1D PC to GratingWe start from the TES in a two joint 1D-perfect photonic crystal and then show that the grating structures on the chip An on-chip integrated one-dimension topological insulator in the optical communication range is realized directly in an integrated photonic circuit. The system takes on a configuration of a 220 nm thick 1D photonic crystal heterostructure sandwiched between two gold films. A photonic topological edge state centered at 1550 nm is obtained for the chip-integrated onedimension topological insulator made of a silicon/SiO 2 photonic crystal heterostructure with a feature size of only 2.25 µm integrated with a silicon waveguide. On/off switching of the photonic topological edge state was also achieved in a 1D topological insulator made of a VO 2 /SiO 2 photonic crystal heterostructure based o...

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Erratum: Topological Optical Waveguiding in Silicon and the Transition between Topological and Trivial Defect States [Phys. Rev. Lett.116, 163901 (2016)]

Abstract: This corrects the article DOI: 10.1103/PhysRevLett.116.163901.

Cited by 36 publications

References 0 publications

Probing the Band Structure of Topological Silicon Photonic Lattices in the Visible Spectrum

Probing the Band Structure of Topological Silicon Photonic Lattices in the Visible Spectrum

Disorder-Induced Topological State Transition in Photonic Metamaterials

Thermo‐optical Tunable Ultracompact Chip‐Integrated 1D Photonic Topological Insulator

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