Conical diffractions in Kagome lattice

Liu, Xianglian; Yang, Jingcai; Guo, Xin; Zhang, Jianguo; Li, Pu; Liu, Yi

doi:10.1016/j.rinp.2021.104007

Cited by 4 publications

(1 citation statement)

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“…The Lieb lattice and the kagome lattice are two types of artificial lattices, which have long been studied theoretically, because they feature both Dirac cones and completely dispersionless flat bands. They can be easily realized as photonic lattices, and as such have been studied in the context of localized (flat band) states [22][23][24], conical diffraction [20,25,26], and topological insulators [27]. The Lieb and the kagome lattice are related by a shearing transformation and can be continuously transformed into each other.…”

Section: Introductionmentioning

confidence: 99%

Tilted Dirac cones and asymmetric conical diffraction in photonic Lieb-kagome lattices

Lang,

Hanafi,

Imbrock

et al. 2022

Preprint

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The Lieb lattice and the kagome lattice, which are both well known for their Dirac cones and flat bands, can be continuously converted into each other by a shearing transformation. During this transformation, the flat band is destroyed, but the Dirac cones remain and become tilted, with types I, II, and III occurring for different parameters. In this work, we first study these tilted Dirac cones using a tight-binding model, revealing how they can be engineered into the different types. We then demonstrate conical diffraction in a photonic lattice realization of the Lieb-kagome lattice using split-step beam propagation simulations, obtaining evidence of the presence of Dirac cones tilted in different directions. Finally, we performed experiments with photonic lattices laser-written in fused silica (SiO2) to validate the results of the simulations. These studies advance the understanding of the Lieb-kagome lattice and tilted Dirac cones in general and provide a basis for further research into this interesting tunable lattice system.

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