Topologically protected photonic modes in composite quantum Hall/quantum spin Hall waveguides

Ma, Shukai; Xiao, Bo; Yu, Yang; Lai, Kueifu; Shvets, Gennady; Anlage, Steven M.

doi:10.1103/physrevb.100.085118

Cited by 15 publications

(11 citation statements)

References 56 publications

(92 reference statements)

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“…As mentioned before, heterogeneous PTI structures have recently been demonstrated with QSH, QVH and QH BMW lattices as building blocks 10,11 . A key requirement for a successful composite topological structure is the matching of the above ∆ perturbation integrals.…”

mentioning

confidence: 72%

“…9 ; c,d modified using results in Ref. 10 Localized edge states are thus created at the interface of the two regions.…”

mentioning

confidence: 99%

“…The QH-BMWs (Fig. 2(e)) are introduced with the application of magneto-optical materials biased by magnetic fields 10 which breaks the T-symmetry and introduces a bandgap. The topological index of the QSH, QVH and QH BMW modes are defined with the spin-Chern number 2C SOC s,v = ±sgn(∆ SOC ), valley-Chern number 2C P s,v = ±sgn(∆ P ), and a global Chern number 2C T s,v = sgn(∆ T ), respectively 22 .…”

mentioning

confidence: 99%

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Microwave Applications of Photonic Topological Insulators

Ma,

Anlage

2020

Preprint

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This Perspective examines the emerging applications of photonic topological insulators (PTIs) in the microwave domain. The introduction of topological protection of light has revolutionized the traditional perspective of wave propagation through the demonstration of backscatter-free waveguides in the presence of sharp bending and strong structural defects. The pseudospin degree of freedom of light enables the invention of novel topological photonic devices with useful functionalities. Here we aim to summarize the recent development and potential application directions of the PTI demonstrations mainly in the microwave regime, and explain the key features giving rise to topological protection, along with a comparison of different designs and realizations.

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mentioning

confidence: 72%

“…9 ; c,d modified using results in Ref. 10 Localized edge states are thus created at the interface of the two regions.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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Microwave Applications of Photonic Topological Insulators

Ma,

Anlage

2020

Preprint

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“…A variety of defect waveguides can be realized by changing the atom properties [28]. Recent photonic topological insulator studies present an alternative form of PC waveguide using the interface between two different topological domains [30][31][32][33][34]. Bulk PC systems have also been employed to construct chaotic billiard systems [12,35].…”

Section: Photonic Crystal Graphmentioning

confidence: 99%

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

Ma¹,

Antonsen²,

Ott³

et al. 2021

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The statistical properties of wave chaotic systems of varying dimensionalities and realizations have been studied extensively. These systems are commonly characterized by the statistics of the short-range and long-range eigenmode-spacing, and the one-point and two-point eigenfunction correlations. Here, we propose photonic crystal (PC) defect waveguide graphs as an alternative physical system for chaotic graph studies. Photonic crystal graphs have two novel features, namely an unusual dispersion relation for the propagating modes, and complex scattering properties of the junctions and bends. Recent studies reveal that chaotic graphs possess non-universal properties, which may be better analyzed and understood through eigenfunction analysis. Here we present numerically determined properties of an ensemble of such PC-graphs including both eigenfunction amplitude and eigenmode-spacing studies. Our proposed system is amenable to other statistical studies, and may be realized experimentally.

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“…Most successful experimental realizations of topological photonic phenomena involve two-dimensional (2D) arrays of microwave resonators [18,[24][25][26][27] or parallel waveguides [19,22]. Recently, a planar array of twolevel atoms arranged in a 2D honeycomb lattice embedded in three-dimensional (3D) free space (see Fig.…”

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confidence: 99%

Topological transitions and Anderson localization of light in disordered atomic arrays

Skipetrov,

Wulles

2021

Preprint

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We explore the interplay of disorder and topological phenomena in honeycomb lattices of atoms coupled by the electromagnetic field. On the one hand, disorder can trigger transitions between distinct topological phases and drive the lattice into the topological Anderson insulator state. On the other hand, the nontrivial topology of the photonic band structure suppresses Anderson localization of modes that disorder introduces inside the band gap of the ideal lattice. Furthermore, we discover that disorder can both open a topological pseudogap in the spectrum of an otherwise topologically trivial system and introduce spatially localized modes inside it.

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Topologically protected photonic modes in composite quantum Hall/quantum spin Hall waveguides

Cited by 15 publications

References 56 publications

Microwave Applications of Photonic Topological Insulators

Microwave Applications of Photonic Topological Insulators

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

Topological transitions and Anderson localization of light in disordered atomic arrays

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