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Topological Spaser

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 Added by Jhih-Sheng Wu
 Publication date 2019
  fields Physics
and research's language is English




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We theoretically introduce a topological spaser, which consists of a hexagonal array of plasmonic metal nanoshells containing an achiral gain medium in their cores. Such a spaser can generate two mutually time-reversed chiral surface plasmon modes in the $mathbf K$- and $mathbf K^prime$-valleys, which carry the opposite topological charges, $pm1$, and are described by a two-dimensional $E^{prime}$ representation of the $D_{3h}$ point symmetry group. Due to the mode competition, this spaser exhibits a bistability: only one of these two modes generates, which is a spontaneous symmetry breaking. Such a spaser can be used for an ultrafast all-optical memory and information processing



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We study the effect of off-resonant plasmon modes on spaser threshold in nanoparticle-based spasers. We develop an analytical semiclassical model and derive spaser threshold condition accounting for gain coupling to higher-order plasmons. We show that such a coupling originates from inhomogeneity of gain distribution near the metal surface and leads to an upward shift of spaser frequency and population inversion threshold. This effect is similar, albeit significantly weaker, to quenching of plasmon-enhanced fluorescence near metal nanostructures due to excitation of off-resonant modes with wide spectral band. We also show that spaser quenching is suppressed for high gain concentrations and establish a simple criterion for quenching onset, which we support by numerical calculations for spherical geometry.
Plasmons, quantized collective oscillations of electrons, have been observed in metals and semiconductors. Such massive electrons have been the basic ingredients of research in plasmonics and optical metamaterials.1 Also, Dirac plasmons have been observed in graphene, two-dimensional electron systems and topological insulators (TIs). A nontrivial Z2 topology of the bulk valence band leads to the emergence of massless Dirac fermions on the surface in TIs.2,3 Although Dirac plasmons can be formed through additional grating or patterning, their characteristics promise novel plasmonic metamaterials that are tunable in the terahertz and mid-infrared frequency ranges.4 Recently, the Majorana fermions have been verified through various kinds of topological superconductors(TSCs). In particular, the quantized and paired spin waves have been discovered in polyaromatic hydrocarbons(PAHs)5 and Majorana hinge and corner modes have been identified in the organic crystal of PAHs. Interestingly, regularity and periodicity can serve in the xy-plane of the crystal as the patterning of TSC resonators. Here, first we report experimental evidence of Majorana plasmonic excitations in a molecular topological superconductor (MTSC). It was prepared from MTSC resonators with different stacked numbers of HYLION-12. Distributing carriers into multiple MTSC resonators enhance the plasmonic resonance frequency and magnitude, which is different from the effects in a conventional semiconductor superlattice.6,7 The direct results of the unique carrier density scaling law of the resonance of massless Majorana fermions is demonstrated. Moreover, topological surface plasmon amplification by stimulated emission of radiation (SPASER) is also firstly created from the MTSC resonator. It has two mutually time-reversed chiral surface plasmon modes carrying the opposite topological charges.
Due to their many potential applications, there is an increasing interest in studying hybrid systems composed of optically active media and plasmonic metamaterials. In this work we focus on a particular system which consists of an optically active silica core covered by a gold shell. We find that the spaser (surface plasmon amplification by stimulated emission of radiation) conditions can be found at the poles of the scattering cross section of the system, a result that remains valid beyond the geometry studied. We explored a wide range of parameters that cover most of the usual experimental conditions in terms of the geometry of the system and the wavelength of excitation. We show that the conditions of spaser generation necessarily require full loss compensation, but the opposite is not necessarily true. Our results, which are independent of the detailed response of the active medium, provide the gain needed and the wavelength of the spasers that can be produced by a particular geometry, discussing also the possibility of turning the system into optical amplifiers and SERS (surface enhanced Raman spectroscopy) substrates with huge enhancements. We believe that our results can find numerous applications. In particular, they can be useful for experimentalists studying similar systems in both, tuning the experimental conditions and interpreting the results.
We show that net amplification of surface plasmons is achieved in channel in a metal plate due to nonradiative excitation by quantum dots. This makes possible lossless plasmon transmission lines in the channel as well as the amplification and generation of coherent surface plasmons. As an example, a ring channel spaser is considered.
We demonstrate that interacting spasers arranged in a 2D array of arbitrary size can be mutually synchronized allowing them to supperradiate. For arrays smaller than the free space wavelength, the total radiated power is proportional to the square of the number N of spasers. For larger arrays, the radiation power is linear in N. However, the emitted beam becomes highly directional with intensity of radiation proportional to N^2 in the direction perpendicular to the plane of the array. Thus, spasers, which mainly amplify near fields, become an efficient source of far field radiation when they are arranged into an array.
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