2021
DOI: 10.1038/s41467-021-22063-w
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Momentum space toroidal moment in a photonic metamaterial

Abstract: Berry curvature, the counterpart of the magnetic field in the momentum space, plays a vital role in the transport of electrons in condensed matter physics. It also lays the foundation for the emerging field of topological physics. In the three-dimensional systems, much attention has been paid to Weyl points, which serve as sources and drains of Berry curvature. Here, we demonstrate a toroidal moment of Berry curvature with flux approaching to π in judiciously engineered metamaterials. The Berry curvature exhib… Show more

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Cited by 22 publications
(20 citation statements)
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References 57 publications
(36 reference statements)
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“…[387,388] Figure 13 shows drawings of various forms of toroidal-resonant metastructures that have been engineered for next-generation nanophotonic and plasmonic applications. [389][390][391][392][393][394][395][396][397][398][399] Squeezing electromagnetic fields within an extremely small spot and possessing exquisite sensitivity to the environmental perturbations, toroidal scatterers allow for the creation of high-precision biochemical sensors and immunobiosensing instruments. [24] In the following, we consider recently conducted studies for devising toroidal biochemical and thermal sensors.…”
Section: Toroidal Metasensorsmentioning
confidence: 99%
See 1 more Smart Citation
“…[387,388] Figure 13 shows drawings of various forms of toroidal-resonant metastructures that have been engineered for next-generation nanophotonic and plasmonic applications. [389][390][391][392][393][394][395][396][397][398][399] Squeezing electromagnetic fields within an extremely small spot and possessing exquisite sensitivity to the environmental perturbations, toroidal scatterers allow for the creation of high-precision biochemical sensors and immunobiosensing instruments. [24] In the following, we consider recently conducted studies for devising toroidal biochemical and thermal sensors.…”
Section: Toroidal Metasensorsmentioning
confidence: 99%
“…Copyright 2021, American Physical Society. k) Reproduced with permission [399]. Copyright 2021, Springer Nature.…”
mentioning
confidence: 99%
“…Nodal lines have drawn attention because they can feature two-dimensional surface states bounded by the projected nodal lines, called drumhead surface states [19][20][21], and exhibit non-Abelian band topology [17]. Moreover, as nodal lines have higher dimensions than Dirac/Weyl points, they show various shapes, for instance, a simple nodal line, a nodal ring [22][23][24], nodal knots [25][26][27] for a single nodal line or a Hopf link [18,[27][28][29][30][31], a nodal chain [18,[32][33][34] for multiple nodal lines.…”
Section: Introductionmentioning
confidence: 99%
“…Along with the progress in understanding band topology, recent years saw the rapid development of topological photonics which studies and demonstrates the topological states of photons in metamaterials (including metallic photonic crystals) [22,24,33,[38][39][40][41] and dielectric photonic crystals [7,18,[42][43][44]. In contrast to electronic systems these photonic materials have great advantages because one can design a structure and manipulate the propagation properties of photons with more freedom and in a wide range of frequency spectra.…”
Section: Introductionmentioning
confidence: 99%
“…The EIT-like effect markedly modifies the dispersive of the metamaterials, and can lead to slow-light phenomena. However, most of metamaterials, whose unit cells are generally formed from metal, have the relatively large Ohmic loss 14 , and the sow-light effects can only be tuned passively 15,16 . All-dielectric metamaterials, whose unit cells are made of high-index semiconductor materials, such as silicon (Si), germanium (Ge), offer a potential solution to the issue of metal loss 17,18 .…”
Section: Introductionmentioning
confidence: 99%