Observation of the Dirac mode guidance in Kagome lattice of photonic crystals

Mao, Qiuping; Hu, Lei; Ding, G. Y.; Xie, Kang

doi:10.1016/j.optcom.2021.127449

Cited by 6 publications

(2 citation statements)

References 34 publications

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“…As the Dirac modes in conventional PhC present an interesting algebraic decay, we verify whether the corner state found in our system has this peculiarity. The states located at the Dirac frequency are described by the massless Dirac equation expressed in spherical coordinates [19][20][21][22]. Under the approximation where the propagation distance r is very large, the solutions to the massless Dirac equation are proportional to 1/r 1/2+m , where m is an integer.…”

Section: Double Resonance Between Corner States In Hoti and Hodsm Phasesmentioning

confidence: 99%

“…This fact opens the possibility of investigating the emergence of corner states in other topological systems where there is no band gap, as in the case of the Dirac semimetals. In photonics, Dirac semimetals make their analogous appearance in photonic crystals (PhC) without photonic band gaps but in the presence of spectrally isolated Dirac points where the density of states (DOS) vanishes [19][20][21][22]. In Dirac photonic materials, the occurrence of power-law interactions leads to the exciting existence of topological [23] or pseudo-diffusive [24] photonic transport, Klein tunnelling [25], single-mode Berkeley Surface Emitting Lasers [26] and the possibility of obtaining decoherence-free interactions [27,28].…”

Section: Introductionmentioning

confidence: 99%

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Double resonance between corner states in distinct higher-order topological phases

Medina-Vázquez¹,

Ramírez²,

Murillo

2023

J. Phys.: Condens. Matter

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Recent studies have shown that higher-order topologies in photonic systems lead to a robust enhancement of light-matter interactions. Moreover, higher-order topological phases have been extended to systems even without a band gap, as in Dirac semimetals. In this work, we propose a procedure to simultaneously generate two distinctive higher-order topological phases with corner states that allow a double resonant effect. This double resonance effect between the higher-order topological phases, was obtained from the design of a photonic structure with the ability to generate a higher-order topological insulator phase (HOTI) in the first bands and a higher-order Dirac half-metal phase (HODSM). Subsequently, using the corner states in both topological phases, we tuned the frequencies of both corner states such that they were separated in frequency by a second harmonic. This idea allowed us to obtain a double resonance effect with ultra-high overlap factors, and a considerable improvement in the nonlinear conversion efficiency. These results show the possibility of producing a second-harmonic generation with unprecedented conversion efficiencies in topological systems with simultaneous HOTI and HODSM phases. Furthermore, since the corner state in the HODSM phase presents an algebraic 1/r decay, our topological system can be helpful in experiments about the generation of nonlinear Dirac-light-matter interactions.

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Section: Double Resonance Between Corner States In Hoti and Hodsm Phasesmentioning

confidence: 99%