Formation of nonreciprocal bands in magnetized diatomic plasmonic chains

Ling, Chen; Wang, Jin; Fung, Kin Hung

doi:10.1103/physrevb.92.165430

Cited by 9 publications

(5 citation statements)

References 35 publications

(48 reference statements)

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“…By the next nearest neighbor approximation together with quasistatic approximation, the dipole moment p n ; σ ( x component) induced on the nanoparticle σ = A or B in the n th unit cell follows the coupled dipole equation20434962:…”

Section: Methodsmentioning

confidence: 99%

“…The particle array is modeled as an array of point dipole scatters embedded in air for the sake of simplicity. By the next nearest neighbor approximation together with quasistatic approximation, the dipole moment p n;σ (x component) induced on the nanoparticle σ = A or B in the nth unit cell follows the coupled dipole equation 23,33,44,45 :…”

Section: Analytical Evaluation Of Zak Phasementioning

confidence: 99%

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Anomalous Light Scattering by Topological PT-symmetric Particle Arrays

Ling

Choi

Mok

et al. 2016

Sci Rep

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Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological edge modes in a non-Hermitian -symmetric system can give rise to an anomalous sideway scattering when they are simultaneously excited by a plane wave. We propose a realization of such scattering state in a linear array of subwavelength resonators coated with gain media. The prediction is based on an analytical two-band model and verified by rigorous numerical simulation using multiple-multipole scattering theory. The result suggests an extreme situation where leakage of classical information is unnoticeable to the transmitter and the receiver when such a -symmetric unit is inserted into the communication channel.

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Section: Methodsmentioning

confidence: 99%

Section: Analytical Evaluation Of Zak Phasementioning

confidence: 99%

Anomalous Light Scattering by Topological PT-symmetric Particle Arrays

Ling

Choi

Mok

et al. 2016

Sci Rep

Self Cite

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“…Metal nanoparticle lattice is a particular type of photonic systems which supports the collective resonance of localized surface plasmons of individual particles and have distinctive band dispersions [50][51][52][53][54][55][56]. Several studies have reported the interesting topological phenomena emerging in this type of system [34,[57][58][59][60]. Specially, 2D honeycomb plasmonic lattices are made up of one-layer-thick metal particles and arranged in a honeycomb structure just like graphene, which can be regarded as a compound structure nested with two triangular sublattices.…”

Section: Honeycomb Plasmonic Lattice and Different Boundariesmentioning

confidence: 99%

The existence of topological edge states in honeycomb plasmonic lattices

et al. 2016

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In this paper, we investigate the band properties of 2D honeycomb plasmonic lattices consisting of metallic nanoparticles. By means of the coupled dipole method and quasi-static approximation, we theoretically analyze the band structures stemming from near-field interaction of localized surface plasmon polaritons for both the infinite lattice and ribbons. Naturally, the interaction of point dipoles decouples into independent out-of-plane and in-plane polarizations. For the out-of-plane modes, both the bulk spectrum and the range of the momentum k P where edge states exist in ribbons are similar to the electronic bands in graphene. Nevertheless, the in-plane polarized modes show significant differences, which do not only possess additional non-flat edge states in ribbons, but also have different distributions of the flat edge states in reciprocal space. For in-plane polarized modes, we derived the bulk-edge correspondence, namely, the relation between the number of flat edge states at a fixed k  , Zak phases of the bulk bands and the winding number associated with the bulk Hamiltonian, and verified it through four typical ribbon boundaries, i.e. zigzag, bearded zigzag, armchair, and bearded armchair. Our approach gives a new topological understanding of edge states in such plasmonic systems, and may also apply to other 2D 'vector wave' systems.

show abstract

“…Metal nanoparticle lattice is a particular type of photonic systems which supports the collective resonance of localized surface plasmons of individual particles and have distinctive band dispersions [50][51][52][53][54][55][56]. Several studies have reported the interesting topological phenomena emerging in this type of systems [34,[57][58][59][60]. Specially, 2D honeycomb plasmonic lattices are made up of one-layer-thick metal particles and arranged in honeycomb structure just like graphene, which can be regarded as a compound structure nested with two triangular sublattices.…”

Section: Honeycomb Plasmonic Lattice and Different Boundariesmentioning

confidence: 99%

The Existence of Topological Edge States in Honeycomb Plasmonic Lattices

Wang,

Zhang,

Xiao

et al. 2016

Preprint

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In this paper, we investigate the band properties of 2D honeycomb plasmonic lattices consisting of metallic nanoparticles. By means of the coupled dipole method and quasi-static approximation, we theoretically analyze the band structures stemming from near-field interaction of localized surface plasmon polaritons for both the infinite lattice and ribbons. Naturally, the interaction of point dipoles decouples into independent out-of-plane and in-plane polarizations. For the out-of-plane modes, both the bulk spectrum and the range of the momentum k where edge states exist in ribbons are similar to the electronic bands in graphene. Nevertheless, the in-plane polarized modes show significant differences, which do not only possess additional non-flat edge states in ribbons, but also have different distributions of the flat edge states in reciprocal space. For in-plane polarized modes, we derived the bulk-edge correspondence, namely, the relation between the number of flat edge states at a fixed k , Zak phases of the bulk bands and the winding number associated with the bulk hamiltonian, and verified it through four typical ribbon boundaries, i.e. zigzag, bearded zigzag, armchair, and bearded armchair. Our approach gives a new topological understanding of edge states in such plasmonic systems, and may also apply to other 2D "vector wave" systems.

show abstract

Formation of nonreciprocal bands in magnetized diatomic plasmonic chains

Cited by 9 publications

References 35 publications

Anomalous Light Scattering by Topological PT-symmetric Particle Arrays

Anomalous Light Scattering by Topological PT-symmetric Particle Arrays

The existence of topological edge states in honeycomb plasmonic lattices

The Existence of Topological Edge States in Honeycomb Plasmonic Lattices

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