Topological Optical Waveguiding in Silicon and the Transition between Topological and Trivial Defect States

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

doi:10.1103/physrevlett.116.163901

Cited by 249 publications

(114 citation statements)

References 33 publications

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“…Here, W is equivalent to the Zak phase, up to a factor of π. The winding number can be calculated by

W = \frac{i}{π} \oint_{normalk} d k false⟨ ψ (k) false| \frac{\partial}{\partial k} false| ψ (k) false⟩

(where

| ψ false(k false) ⟩

is Bloch wave functions), which takes on the value of 0 when c 1 > c 2 and 1 when c 1 < c 2 . Non‐zero winding number implies nontrivial topology and indicates the existence of edge states.…”

Section: Resultsmentioning

confidence: 99%

“…There are also 1D topological systems that have edge states that exist at the termination of a 1D lattice. For example, zero modes in the Su–Schriffer–Heeger (SSH) model have gained significant attention and have been explored in many different systems . All the progress in fundamental researches of topological photonics has recently prompted great efforts to design robust optical devices that are insensitive to structural perturbations and fabrication disorders.…”

Section: Introductionmentioning

confidence: 99%

“…These approaches usually require external intervention or strict parameter condition that have to sacrifice in some other important aspects, and there is still a high demand for devices with a naturally robust design. More recently, the robust waveguiding and transportation based on TES have been proposed and demonstrated in silicon platform, showing the advantages of topological design in integrated photonic devices. Therefore, it is quite possible to utilize these TESs to access the robust coupling of light between waveguides, though they were rarely studied previously.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust and Broadband Optical Coupling by Topological Waveguide Arrays

Song

Sun

Chen

et al. 2020

Laser & Photonics Reviews

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Photonic topological states have been exploited to give rise to robust optical behaviors that are quite insensitive to local defects or perturbations, which provide a promising solution for robust photonic integrations. Specifically, for example, optical coupling between waveguides is a universal function in integrated photonics. However, the coupling performance usually suffers from high structure‐sensitivity and challenges current manufacturing for massive production. Here, the topological edge state in a finite Su–Schriffer–Heeger modeled optical waveguide array is explored and robust optical coupling (e.g., directional coupling and beam splitting) is demonstrated, which is quite insensitive to structural variations. It is experimentally proved that even a large discrepancy (21–26% structural deviation) in silicon waveguides gaps has little influence on optical coupling (>90% performance), while conventional counterparts totally break down. Moreover, thanks to such a topological design, the devices show much broader working bandwidth (≈10 times performance improvement) than the conventional ones, greatly favoring the photonic integrations. This work would inspire new families of optical devices with robust and broadband properties that can excite more interesting and useful exploration in both fields, and possibly open a new avenue toward topological devices with unique properties and functionalities.

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“…Here, W is equivalent to the Zak phase, up to a factor of π. The winding number can be calculated by

W = \frac{i}{π} \oint_{normalk} d k false⟨ ψ (k) false| \frac{\partial}{\partial k} false| ψ (k) false⟩

(where

| ψ false(k false) ⟩

is Bloch wave functions), which takes on the value of 0 when c 1 > c 2 and 1 when c 1 < c 2 . Non‐zero winding number implies nontrivial topology and indicates the existence of edge states.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust and Broadband Optical Coupling by Topological Waveguide Arrays

Song

Sun

Chen

et al. 2020

Laser & Photonics Reviews

View full text Add to dashboard Cite

show abstract

“…In the latter case, α m denotes electric field amplitude in m th cavity. Such correspondence allows one to investigate the physics of the SSH model in fully classical setups, including electronic [11,12], photonic [13][14][15][16][17][18][19], plasmonic [20][21][22][23], polaritonic [24] and mechanical [25] systems. The bulk energy spectrum of the SSH model is found from Eqs.…”

Section: Topological States In the Linear Ssh Modelmentioning

confidence: 99%

“…Possibly the simplest model of the topological states in one-dimensional systems is provided by the wellcelebrated Su-Schrieffer-Heeger model (SSH) [11,12], which was investigated and realized in various contexts including electronic [11,12], photonic [13][14][15][16][17][18][19], plasmonic [20][21][22][23], polaritonic [24] and mechanical [25] systems. Though initially the SSH model was applied to explain charge transfer in polymer molecules, it can be also used for describing the physics of artificial photonic and plasmonic structures.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear topological states in the Su–Schrieffer–Heeger model

Gorlach¹,

Slobozhanyuk²

2017

Nanosystems: Phys. Chem. Math.

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Topological photonics offers unique functionalities in light manipulation at the nanoscale by means of the so-called topological states which are robust against various forms of disorder. One of the simplest one-dimensional models supporting topological states is the Su-Schrieffer-Heeger model. In this paper, we review the physics of the Su-Schrieffer-Heeger model and its nonlinear counterparts exhibiting self-induced, tunable and many-particle edge states. We discuss the robustness of these states, highlighting their rich potential for nanophotonic and quantum optics applications.

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Topological Exciton Polaritons in Compact Perovskite Junction Metasurfaces

An,

Lim,

Lee

et al. 2024

Adv Funct Materials

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Exciton polaritons are hybrid light‐matter quasi‐particles that hold exceptional opportunities for future optoelectronic devices. Taking the synergic advantages of room‐temperature perovskite excitons and topological photonic structures, topological exciton‐polaritons are experimentally demonstrated in organic–inorganic hybrid perovskite thin films. Topological junction structures based on perovskite gratings are realized using a momentum‐space analog of the 1D Dirac system. Desired enhancement phenomena are observed including narrow‐beam polariton emission from a tightly localized junction region, polaritonic nonlinearity boost, and enhanced luminescence. These remarkable features are obtained from highly compact devices with footprint widths on the order of a few micrometers and are efficiently tailorable with simple unit‐cell geometry control. Therefore, the proposed approach can be a powerful platform for room‐temperature topological exciton‐polaritons and concomitant device applications.

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Topological Optical Waveguiding in Silicon and the Transition between Topological and Trivial Defect States

Cited by 249 publications

References 33 publications

Robust and Broadband Optical Coupling by Topological Waveguide Arrays

Robust and Broadband Optical Coupling by Topological Waveguide Arrays

Nonlinear topological states in the Su–Schrieffer–Heeger model

Topological Exciton Polaritons in Compact Perovskite Junction Metasurfaces

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