19 research outputs found

    Chiral Flat Bands: Existence, Engineering and Stability

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    We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized eigenstates for finite range hopping. For a bipartite network with a majority sublattice chiral flat bands emerge. We present a simple generating principle of chiral flat band networks and as a showcase add to the previously observed cases a number of new potentially realizable chiral flat bands in various lattice dimensions. Chiral symmetry respecting network perturbations - including disorder and synthetic magnetic fields - preserve both the flatband and the modified compact localized states. Chiral flatbands are spectrally protected by gaps, and pseudogaps in the presence of disorder due to Griffiths effects

    Flat-band localization and self-collimation of light in photonic crystals

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    We investigate the optical properties of a photonic crystal composed of a quasi-one-dimensional flat-band lattice array through finite-difference time-domain simulations. The photonic bands contain flat bands (FBs) at specific frequencies, which correspond to compact localized states as a consequence of destructive interference. The FBs are shown to be nondispersive along the Γ→X\Gamma\rightarrow X line, but dispersive along the Γ→Y\Gamma\rightarrow Y line. The FB localization of light in a single direction only results in a self-collimation of light propagation throughout the photonic crystal at the FB frequency.Comment: 18 single-column pages, 7 figures including graphical to

    Topological flat Wannier-Stark bands

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    We analyze the spectrum and eigenstates of a quantum particle in a bipartite two-dimensional tight-binding dice network. In the absence of a dc bias, it hosts a chiral flatband with compact localized eigenstates. In the presence of a dc bias, the energy spectrum consists of a periodic repetition of one-dimensional energy band multiplets, with one member in the multiplet being strictly flat. The corresponding flatband eigenstates cease to be compact, and are localized exponentially perpendicular to the dc field direction, and superexponentially along the dc field direction. The band multiplets are characterized by a topological quantized winding number (Zak phase), which changes at specific values of the varied dc field strength. These changes are induced by gap closings between the flat and dispersive bands, and reflect the number of these closings. © 2018 American Physical Society

    Unconventional Flatband Line States in Photonic Lieb Lattices

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    Flatband systems typically host "compact localized states"(CLS) due to destructive interference and macroscopic degeneracy of Bloch wave functions associated with a dispersionless energy band. Using a photonic Lieb lattice(LL), we show that conventional localized flatband states are inherently incomplete, with the missing modes manifested as extended line states which form non-contractible loops winding around the entire lattice. Experimentally, we develop a continuous-wave laser writing technique to establish a finite-sized photonic LL with specially-tailored boundaries, thereby directly observe the unusually extended flatband line states.Such unconventional line states cannot be expressed as a linear combination of the previously observed CLS but rather arise from the nontrivial real-space topology.The robustness of the line states to imperfect excitation conditions is discussed, and their potential applications are illustrated

    Nutrigenomics: future for sustenance

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    Nutrigenomics deals with the effect of foods and food constituents on gene expression. It is a new concept in disease prevention and cure. Nutrigenomics conveys how nutrients influence our body to express genes, whereas nutrigenetics refers to how our body responds to nutrients. The various bioactive food components can alter the gene expression mechanisms. But our actual knowledge is so insufficient that the only use of such information may help to satisfy our imagination. If science could arrive at some more precise facts, that would have vast applications in medicine

    New record of blunthead pufferfish, Sphoeroides pachygaster (Muller & Troschel, 1848 (Tetraodontiformes: Tetraodontidae) from Indian water along with DNA barcode and some biological aspects

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    Blunthead pufferfish, Sphoeroides pachygaster (Muller and Troschel 1848) was recorded for the first time in Indian seas. A single female specimen of S. pachygaster was caught in bottom trawl operation at 263 – 310 m depth of the Eastern Arabian Sea. Morphometric and meristic description are presented in detail and compared with the pertinent records available elsewhere. The specimen collected was fully matured with Gonado Somatic Index (GSI) of 17.9 %. Gonad occupied two-third of the abdominal cavity, ova diameters ranged between 0.45 and 0.6 mm and the absolute fecundity estimated was 0.238 million eggs. Histological studies revealed that, this species performs single spawning strategy and it is the first information on the reproduction of S. pachygaster in India. Available reports on the occurrence of this species indicated distribution in the Mediterranean Sea, Atlantic, Indian and Pacific Oceans; however, the present record confirms its distribution in the Arabian Sea. Wide variations in the meristic counts among the specimens of this species collected from various locations are also discussed. Molecular analysis of the present specimen using Mitochondrial 16S rRNA gene sequences, confirmed the identity as S. pachygaster with intra specific divergence of 00.0 – 0.04 %. This report is the first well documented, confirmed record and re-description of S. pachygaster from the Indian Ocean, which documents a new addition to the family, Tetraodontidae of the Indian ichthyofauna

    Flat-band localization and self-collimation of light in photonic crystals

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    We investigate the optical properties of a photonic crystal (PC) composed of a quasi-one-dimensional flat-band lattice array through finite-difference time-domain simulations. The photonic bands contain flat bands (FBs) at specific frequencies, which correspond to compact localized states as a consequence of destructive interference. The FBs are shown to be nondispersive along the Г → X line, prohibiting optical transmission with incident light in x direction. On the other hand, the photonic band for the FB frequency is found to be dispersive along the Г → Y line, resulting in nonzero optical transmission. Such anisotropic optical response of the PC due to the FB localization of light in a single direction only results in a self-collimation of light propagation throughout the PC at the FB frequency. © 2019, The Author(s
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