Photonics Research, Volume. 10, Issue 5, 1244(2022)

Higher-order valley vortices enabled by synchronized rotation in a photonic crystal

Rui Zhou1, Hai Lin1,5、*, Yanjie Wu1, Zhifeng Li1, Zihao Yu1, Y. Liu2,3,6、*, and Dong-Hui Xu4
Author Affiliations
  • 1College of Physics Science and Technology, Central China Normal University, Wuhan 430079, China
  • 2School of Physics and Electronic Sciences, Hubei University, Wuhan 430062, China
  • 3Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China
  • 4Department of Physics, Chongqing University, Chongqing 400044, China
  • 5e-mail: linhai@mail.ccnu.edu.cn
  • 6e-mail: yangjie@hubu.edu.cn
  • show less
    References(42)

    [1] F. D. M. Haldane, S. Raghu. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett., 100, 013904(2008).

    [2] Z. Wang, Y. D. Chong, J. D. Joannopoulos, M. Soljačić. Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys. Rev. Lett., 100, 013905(2008).

    [3] A. B. Khanikaev, S. H. Mousavi, W. K. Tse, M. Kargarian, A. H. MacDonald, G. Shvets. Photonic topological insulators. Nat. Mater., 12, 233-239(2013).

    [4] J. Y. Lu, C. Y. Qiu, M. Z. Ke, Z. Y. Liu. Valley vortex states in sonic crystals. Phys. Rev. Lett., 116, 093901(2016).

    [5] L. H. Wu, X. Hu. Scheme for achieving a topological photonic crystal by using dielectric material. Phys. Rev. Lett., 114, 223901(2015).

    [6] R. Zhou, H. Lin, Y. Liu, X. T. Shi, R. X. Tang, Y. J. Wu, Z. H. Yu. Topological edge states of kekulé-type photonic crystals induced by a synchronized rotation of unit cells. Phys. Rev. A, 104, L031502(2021).

    [7] Q. L. Chen, L. Zhang, M. J. He, Z. J. Wang, X. Lin, F. Gao, B. Yang, Y. H. Zhang, H. S. Chen. Valley-hall photonic topological insulators with dual-band kink states. Adv. Opt. Mater., 7, 1900036(2019).

    [8] L. Zhang, Y. H. Yang, M. J. He, H. X. Wang, Z. J. Yang, E. P. Li, F. Gao, B. Zhang, J. H. Jiang, H. S. Chen. Valley kink states and topological channel intersections in substrate-integrated photonic circuitry. Laser Photon. Rev., 13, 1900159(2019).

    [9] J. Y. Lu, C. Y. Qiu, L. P. Ye, X. Y. Fan, M. Z. Ke, F. Zhang, Z. Y. Liu. Observation of topological valley transport of sound in sonic crystals. Nat. Phys., 13, 369-374(2016).

    [10] J. W. Dong, X. D. Chen, H. Zhu, Y. Wang, X. Zhang. Valley photonic crystals for control of spin and topology. Nat. Mater., 16, 298-302(2017).

    [11] W. A. Benalcazar, A. Bernevig, T. L. Hughes. Quantized electric multipole insulators. Science, 357, 61-66(2017).

    [12] W. A. Benalcazar, B. A. Bernevig, T. L. Hughes. Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators. Phys. Rev. B, 96, 245115(2017).

    [13] Z. D. Song, Z. Fang, C. Fang. (d − 2)-dimensional edge states of rotation symmetry protected topological states. Phys. Rev. Lett., 119, 246402(2017).

    [14] F. Schindler, M. Cook Ashley, G. Vergniory Maia, Z. Wang, S. P. Parkin Stuart, B. A. Bernevig, T. Neupert. Higher-order topological insulators. Sci. Adv., 4, eaat0346(2018).

    [15] W. A. Benalcazar, T. Li, T. L. Hughes. Quantization of fractional corner charge in Cn-symmetric higher-order topological crystalline insulators. Phys. Rev. B, 99, 245151(2019).

    [16] M. S. Kirsch, Y. Q. Zhang, M. Kremer, L. J. Maczewsky, S. K. Ivanov, Y. V. Kartashov, L. Torner, D. Bauer, A. Szameit, M. Heinrich. Nonlinear second-order photonic topological insulators. Nat. Phys., 17, 995-1000(2021).

    [17] B. Y. Xie, H. F. Wang, H. X. Wang, X. Y. Zhu, J. H. Jiang, M. H. Lu, Y. F. Chen. Second-order photonic topological insulator with corner states. Phys. Rev. B, 98, 205147(2018).

    [18] H. R. Kim, M. S. Hwang, D. Smirnova, K. Y. Jeong, Y. Kivshar, H. G. Park. Multipolar lasing modes from topological corner states. Nat. Commun., 11, 5758(2020).

    [19] X. Xi, X. M. Li, K. P. Ye, H. B. Wu, J. Chen, R. X. Wu. Dual-polarization topological phases and phase transition in magnetic photonic crystalline insulator. New J. Phys., 23, 083042(2021).

    [20] F. Liu, K. Wakabayashi. Novel topological phase with a zero Berry curvature. Phys. Rev. Lett., 118, 076803(2017).

    [21] F. Liu, H. Y. Deng, K. Wakabayashi. Topological photonic crystals with zero Berry curvature. Phys. Rev. B, 97, 035442(2018).

    [22] X. T. He, E. T. Liang, J. J. Yuan, H. Y. Qiu, X. D. Chen, F. L. Zhao, J. W. Dong. A silicon-on-insulator slab for topological valley transport. Nat. Commun., 10, 1(2019).

    [23] Y. Mao, Y. Liu, H. Lin. Angular momenta in fields from a rotational mechanical antenna. J. Phys. Commun., 5, 125012(2021).

    [24] X. D. Chen, X. T. He, J. W. Dong. All-dielectric layered photonic topological insulators. Laser Photon. Rev., 13, 1900091(2019).

    [25] M. Y. Li, D. Zhirihin, M. Gorlach, X. Ni, D. Filonov, A. Slobozhanyuk, A. Alù, A. B. Khanikaev. Higher-order topological states in photonic kagome crystals with long-range interactions. Nat. Photonics, 14, 89-94(2020).

    [26] X. J. Zhang, M. H. Liu, L. Lu, Y. F. Chen. Valley-selective topological corner states in sonic crystals. Phys. Rev. Lett., 126, 156401(2021).

    [27] A. Neto, F. Guinea, N. Peres, K. S. Novoselov, A. K. Geim. The electronic properties of graphene. Rev. Mod. Phys., 81, 109-162(2009).

    [28] J. R. Schaibley, H. Y. Yu, G. Clark, P. Rivera, J. S. Ross, K. L. Seyler, W. Yao, X. D. Xu. Valleytronics in 2D materials. Nat. Rev. Mater., 1, 16055(2016).

    [29] L. Lu, J. D. Joannopoulos, M. Soljačić. Topological photonics. Nat. Photonics, 8, 821-829(2014).

    [30] X. D. Chen, W. M. Deng, J. C. Lu, J. W. Dong. Valley-controlled propagation of pseudospin states in bulk metacrystal waveguides. Phys. Rev. B, 97, 184201(2018).

    [31] Z. K. Lin, J. H. Jiang. Dirac cones and higher-order topology in quasi-continuous media(2021).

    [32] X. D. Chen, F. L. Zhao, M. Chen, J. W. Dong. Valley-contrasting physics in all-dielectric photonic crystals: orbital angular momentum and topological propagation. Phys. Rev. B, 96, 020202(2017).

    [33] E. Khalaf. Higher-order topological insulators and superconductors protected by inversion symmetry. Phys. Rev. B, 97, 205136(2018).

    [34] J. L. Liu, W. M. Ye, S. Zhang. Pseudospin-induced chirality with staggered optical graphene. Light Sci. Appl., 5, e16094(2016).

    [35] I. A. Litvin, A. Dudley, A. Forbes. Poynting vector and orbital angular momentum density of superpositions of bessel beams. Opt. Express, 19, 16760-16771(2011).

    [36] H. X. Wang, L. Liang, B. Jiang, J. H. Hu, X. C. Lu, J. H. Jiang. Higher-order topological phases in tunable C3 symmetric photonic crystals(2021).

    [37] M. P. Makwana, G. Chaplain. Tunable three-way topological energy-splitter. Sci. Rep., 9, 18939(2019).

    [38] Z. G. Geng, Y. G. Peng, P. Q. Li, Y. X. Shen, D. G. Zhao, X. F. Zhu. Mirror-symmetry induced topological valley transport along programmable boundaries in a hexagonal sonic crystal. J. Phys. Condens. Matter, 31, 245403(2019).

    [39] F. Gao, H. R. Xue, Z. Y. Yang, K. F. Lai, Y. Yu, X. Lin, Y. D. Chong, G. Shvets, B. Zhang. Topologically protected refraction of robust kink states in valley photonic crystals. Nat. Phys., 14, 140-144(2018).

    [40] Y. H. Yang, Y. Yamagami, X. B. Yu, P. Pitchappa, J. Webber, B. Zhang, M. Fujita, T. Nagatsuma, R. Singh. Terahertz topological photonics for on-chip communication. Nat. Photonics, 14, 446-451(2020).

    [41] L. Zhang, Y. H. Yang, Z. Jiang, Q. L. Chen, Q. H. Yan, Z. Y. Wu, B. Zhang, J. Huangfu, H. S. Chen. Demonstration of topological wireless power transfer. Sci. Bull., 66, 974-980(2021).

    [42] S. Q. Wu, B. Jiang, Y. Liu, J. H. Jiang. All-dielectric photonic crystal with unconventional higher-order topology. Photon. Res., 9, 668-677(2021).

    Tools

    Get Citation

    Copy Citation Text

    Rui Zhou, Hai Lin, Yanjie Wu, Zhifeng Li, Zihao Yu, Y. Liu, Dong-Hui Xu. Higher-order valley vortices enabled by synchronized rotation in a photonic crystal[J]. Photonics Research, 2022, 10(5): 1244

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Nanophotonics and Photonic Crystals

    Received: Dec. 6, 2021

    Accepted: Mar. 10, 2022

    Published Online: Apr. 20, 2022

    The Author Email: Hai Lin (linhai@mail.ccnu.edu.cn), Y. Liu (yangjie@hubu.edu.cn)

    DOI:10.1364/PRJ.452598

    Topics