Zero Refractive Index Properties of Two-Dimensional Photonic Crystals with Dirac Cones

Funds: Supported by the National Natural Science Foundation of China under Grant Nos 11504336 and 61805214, and the Fundamental Research Funds for the Central Universities under Grant No 265201430.
  • Received Date: November 18, 2018
  • Published Date: February 28, 2019
  • The zero refractive index properties of two-dimensional photonic crystals (PCs) are studied theoretically. Three necessary conditions for PCs to mimic the zero index materials (ZIMs) are obtained. In addition, through a comparative study of the properties for two representative PC structures with different types of Dirac cones, we find that the PC with a Dirac-like cone which meets the three necessary conditions does not behave as a ZIM in some cases. Further analysis shows that its non-zero index properties originate from the flat dispersion band. These findings clarify the fundamental physical issue of which type of Dirac cone PC can mimic a real ZIM.
  • Article Text

  • [1]
    Nguyen V C, Chen L and Halterman K 2010 Phys. Rev. Lett. 105 233908 doi: 10.1103/PhysRevLett.105.233908

    CrossRef Google Scholar

    [2]
    Enoch S, Tayeb G, Sabouroux P, Guerin N and Vincent P 2002 Phys. Rev. Lett. 89 213902 doi: 10.1103/PhysRevLett.89.213902

    CrossRef Google Scholar

    [3]
    Silveirinha M and Engheta N 2006 Phys. Rev. Lett. 97 157403 doi: 10.1103/PhysRevLett.97.157403

    CrossRef Google Scholar

    [4]
    Hao J M, Yan W and Qiu M 2010 Appl. Phys. Lett. 96 101109 doi: 10.1063/1.3359428

    CrossRef Google Scholar

    [5]
    Zhai T R, Shi J W, Chen S J and Liu D H 2011 Appl. Phys. Express 4 074301 doi: 10.1143/APEX.4.074301

    CrossRef Google Scholar

    [6]
    Zhai T R, Shi J W, Chen S J, Liu D H and Zhang X D 2011 Opt. Lett. 36 2689 doi: 10.1364/OL.36.002689

    CrossRef Google Scholar

    [7]
    Fu Y, Xu L, Hang Z H and Chen H 2014 Appl. Phys. Lett. 104 193509 doi: 10.1063/1.4878400

    CrossRef Google Scholar

    [8]
    Zhu W R, Rukhlenko I D and Premaratne M 2012 Phys. Rev. Lett. 108 213903 doi: 10.1103/PhysRevLett.108.213903

    CrossRef Google Scholar

    [9]
    Wang N, Chen H J, Lu W L, Liu S Y and Lin Z F 2013 Opt. Express 21 23712 doi: 10.1364/OE.21.023712

    CrossRef Google Scholar

    [10]
    Yu X N, Chen H J, Lin H X, Zhou J L, Yu J J, Qian C X and Liu S Y 2014 Opt. Lett. 39 4643 doi: 10.1364/OL.39.004643

    CrossRef Google Scholar

    [11]
    Lin H X, Yu X N and Liu S Y 2015 Acta Phys. Sin. 64 034203 doi: 10.7498/aps.64.034203

    CrossRef Google Scholar

    [12]
    Kinsey N, Devault C, Kim J, Ferrera M, Shalaev V M and Boltasseva A 2015 Optica 2 616 doi: 10.1364/OPTICA.2.000616

    CrossRef Google Scholar

    [13]
    Ou J Y, So J K, Adamo G, Sulaev A and Wang L 2014 Nat. Commun. 5 5139 doi: 10.1038/ncomms6139

    CrossRef Google Scholar

    [14]
    Huang X, Lai Y, Hang Z H, Zheng H and Chan C T 2011 Nat. Mater. 10 582 doi: 10.1038/nmat3030

    CrossRef Google Scholar

    [15]
    Moitra P, Yang Y, Anderson Z, Kravchenko I I, Briggs D P and Valentine J 2013 Nat. Photon. 7 791 doi: 10.1038/nphoton.2013.214

    CrossRef Google Scholar

    [16]
    Li Y, Kita S, Muñoz P, Reshef O and Vulis D I 2015 Nat. Photon. 9 738 doi: 10.1038/nphoton.2015.198

    CrossRef Google Scholar

    [17]
    Mei J, Wu Y, Chan C T and Zhang Z Q 2012 Phys. Rev. B 86 035141 doi: 10.1103/PhysRevB.86.035141

    CrossRef Google Scholar

    [18]
    Chen Z G, Ni X, Wu Y, He C, Sun X C, Zheng L Y, Lu M H and Chen Y F 2015 Sci. Rep. 4 4613 doi: 10.1038/srep04613

    CrossRef Google Scholar

    [19]
    Ashraf M W and Faryad M 2016 J. Opt. Soc. Am. B 33 1008 doi: 10.1364/JOSAB.33.001008

    CrossRef Google Scholar

    [20]
    Fang K, Zhang Y, Li F, Jiang H and Li Y 2012 Opt. Lett. 37 4654 doi: 10.1364/OL.37.004654

    CrossRef Google Scholar

    [21]
    Dong J W, Chang M L, Huang X Q, Hang Z H, Zhong Z C, Chen W J, Huang Z Y and Chan C T 2015 Phys. Rev. Lett. 114 163901 doi: 10.1103/PhysRevLett.114.163901

    CrossRef Google Scholar

    [22]
    Boriskina S V 2015 Nat. Photon. 9 422 doi: 10.1038/nphoton.2015.107

    CrossRef Google Scholar

    [23]
    D'Aguanno G, Mattiucci N, Conti C and Bloemer M J 2013 Phys. Rev. B 87 085135 doi: 10.1103/PhysRevB.87.085135

    CrossRef Google Scholar

    [24]
    Li Y and Mei J 2015 Opt. Express 23 12089 doi: 10.1364/OE.23.012089

    CrossRef Google Scholar

    [25]
    Sepkhanov R A, Bazaliy Y B and Beenakker C W J 2007 Phys. Rev. A 75 063813 doi: 10.1103/PhysRevA.75.063813

    CrossRef Google Scholar

    [26]
    Gao H, Ouyang M, Wang Y, Shen Y, Zhou J and Liu D H 2007 Optik 118 452 doi: 10.1016/j.ijleo.2006.04.017

    CrossRef Google Scholar

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