Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance, and experimental verification

Chen, Xiao; Zhao, Ding; Zhu, Xiao-Sheng; Shi, Fu‐Long; Liu, Huan; Lu, Jincheng; Chen, Min; Dong, Jian‐Wen

doi:10.1103/physreva.97.013831

Cited by 14 publications

(14 citation statements)

References 40 publications

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“…(1) Photonic crystals. The photonic analog of the SSH model has been implemented in several photonic platforms (6,(10)(11)(12), including some recent photonic crystal realizations (7). The latter are particularly interesting due to the recent advances in their integration with solidstate and natural atomic emitters [see (46,47) and references therein].…”

Section: Implementationsmentioning

confidence: 99%

“…The starting point of the field was the observation that topological bands also appear with electromagnetic waves (4). Soon after that, many experimental realizations followed using microwave photons (5), photonic crystals (6,7), coupled waveguides (8) or resonators (9)(10)(11), exciton-polaritons (12), or metamaterials (13), to name a few [see (14) and references therein for an authoritative review]. Nowadays, topological photonics is a burgeoning field with many experimental and theoretical developments.…”

Section: Introductionmentioning

confidence: 99%

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Unconventional quantum optics in topological waveguide QED

et al. 2019

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The discovery of topological materials has motivated recent developments to export topological concepts into photonics to make light behave in exotic ways. Here, we predict several unconventional quantum optical phenomena that occur when quantum emitters interact with a topological waveguide quantum electrodynamics bath, namely, the photonic analog of the Su-Schrieffer-Heeger model. When the emitters’ frequency lies within the topological bandgap, a chiral bound state emerges, which is located on just one side (right or left) of the emitter. In the presence of several emitters, this bound state mediates topological, tunable interactions between them, which can give rise to exotic many-body phases such as double Néel ordered states. Furthermore, when the emitters’ optical transition is resonant with the bands, we find unconventional scattering properties and different super/subradiant states depending on the band topology. Last, we propose several implementations where these phenomena can be observed with state-of-the-art technology.

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Section: Implementationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unconventional quantum optics in topological waveguide QED

et al. 2019

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“…The generalization of the above 1D example to a 2D DPC is straightforward [51]. The resulting structure is called Shi-No-Me in Japanese, as shown in Fig.…”

Section: Photonic 2d Ssh Modelmentioning

confidence: 99%

Topological photonic crystals with zero Berry curvature

2018

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Topological photonic crystals are designed based on the concept of Zak's phase rather than the topological invariants such as the Chern number and spin Chern number, which rely on the existence of a nonvanishing Berry curvature. Our photonic crystals (PCs) are made of pure dielectrics and sit on a square lattice obeying the C 4v point-group symmetry. Two varieties of PCs are considered: one closely resembles the electronic two-dimensional Su-Schrieffer-Heeger model, and the other continues as an extension of this analogy. In both cases, the topological transitions are induced by adjusting the lattice constants. Topological edge modes (TEMs) are shown to exist within the nontrivial photonic band gaps on the termination of those PCs. The high efficiency of these TEMs transferring electromagnetic energy against several types of disorders has been demonstrated using the finite-element method.

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“…Figure 2(a) shows the schematic diagram of the 2D PC consisting of rectangular meta-atoms whose long axis orientates alternatively toward x and y directions. The lattice constant is a, and the width and height of the rectangle blocks are, respectively, w and l. As the PC is invariant under the interchange of x-and y-oriented rectangle blocks, its structure is self-complementary [34]. There are four preliminary ways to construct the PC by choosing different unit cell.…”

Section: Introductionmentioning

confidence: 99%

Geometric anisotropy induced higher-order topological insulators in nonsymmorphic photonic crystals

2022

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To a significant extent, the rich physical properties of photonic crystals are determined by the underlying geometry, in which the composed symmetry operator and their combinations contribute to their unique topological invariant to characterize the topological phases. Particularly, the interand intra-coupling modulation in the two-dimensional (2D) Su-Schrieffer-Heeger model yields the topological phase transition, and exhibit first-order edge localized states and second-order corner localized corner states. In this work, we use the geometric anisotropy into the 2D square lattice composed of four rectangle blocks. We show a variety of topological phase transitions in designed nonsymmorphic photonic crystals (PCs) and these transitions shall be understood in terms of the Zak phase and Chern number in synthetic space, as well as the pseudospin-2 concept, combinationally. Furthermore, Zak phase winding in the periodic synthetic parameter space yields high-order Chern number and double interface states. Based on the extended Zak phase and pseudo-spin Hall effect, higher-order topological insulator is constructed in the PC system. The intriguing and abundant topological features are also sustained in the corresponding three-dimensional PC slab, which makes it a very interesting platform to control the flow of optical signals.

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Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance, and experimental verification

Cited by 14 publications

References 40 publications

Unconventional quantum optics in topological waveguide QED

Unconventional quantum optics in topological waveguide QED

Topological photonic crystals with zero Berry curvature

Geometric anisotropy induced higher-order topological insulators in nonsymmorphic photonic crystals

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