Volume 14 Issue 4
Jul.  2021
Turn off MathJax
Article Contents
SU Zhao-xian, YAO En-xu, HUANG Ling-ling, WANG Yong-tian. Optical topological characteristics of two dimensional artificial metamaterials[J]. Chinese Optics, 2021, 14(4): 955-967. doi: 10.37188/CO.2021-0074
Citation: SU Zhao-xian, YAO En-xu, HUANG Ling-ling, WANG Yong-tian. Optical topological characteristics of two dimensional artificial metamaterials[J]. Chinese Optics, 2021, 14(4): 955-967. doi: 10.37188/CO.2021-0074

Optical topological characteristics of two dimensional artificial metamaterials

doi: 10.37188/CO.2021-0074
Funds:  Supported by the Beijing Outstanding Young Scientist Program (No. BJJWZYJH01201910007022); National Natural Science Foundation of China (No. 61775019, No. 92050117); National Postdoctoral Program for Innovative Talents of China (No. BX20200050)
More Information
  • Corresponding author: huanglingling@bit.edu.cn
  • Received Date: 06 Apr 2021
  • Rev Recd Date: 19 Apr 2021
  • Available Online: 19 May 2021
  • Publish Date: 01 Jul 2021
  • Two dimensional artificial metamaterials, represented by metasurfaces, could control the amplitude, phase, polarization and orbital angular momentum of light, through tailoring the interaction between light and matter. Nowadays, two dimensional artificial metamaterials with nontrivial topological properties have become research focus in optics due to their advantages in robust unidirectional transmission. The topological phase is not only a new degree of freedom to describe matter in the field of condensed matter physics, but also a new parameter to describe optical properties of artificial metamaterials. In this review, the origin of topological photonics and classification for topological properties of two dimensional metamaterials are introduced. The latest progress in topological photonics has also been presented. The summary and prospect of topological metamaterials are given at the end of the review.


  • loading
  • [1]
    LIU Y M, ZHANG X. Metamaterials: a new frontier of science and technology[J]. Chemical Society Reviews, 2011, 40(5): 2494-2507. doi: 10.1039/c0cs00184h
    MINOVICH A E, MIROSHNICHENKO A E, BYKOV A Y, et al. Functional and nonlinear optical metasurfaces[J]. Laser &Photonics Reviews, 2015, 9(2): 195-213.
    YU N F, CAPASSO F. Flat optics with designer metasurfaces[J]. Nature Materials, 2014, 13: 139. doi: 10.1038/nmat3839
    ZHENG G X, MÜHLENBERND H, KENNEY M, et al. Metasurface holograms reaching 80% efficiency[J]. Nature Nanotechnology, 2015, 10(4): 308-312. doi: 10.1038/nnano.2015.2
    LEE J, TYMCHENKO M, ARGYROPOULOS C, et al. Giant nonlinear response from plasmonic metasurfaces coupled to intersubband transitions[J]. Nature, 2014, 511(7507): 65-69. doi: 10.1038/nature13455
    KILDISHEV A V, BOLTASSEVA A, SHALAEV V M. Planar photonics with metasurfaces[J]. Science, 2013, 339(6125): 1232009. doi: 10.1126/science.1232009
    LIN D M, FAN P Y, HASMAN E, et al. Dielectric gradient metasurface optical elements[J]. Science, 2014, 345(6194): 298-302. doi: 10.1126/science.1253213
    LU L, JOANNOPOULOS J D, SOLJAČIĆ M. Topological photonics[J]. Nature Photonics, 2014, 8(11): 821-829. doi: 10.1038/nphoton.2014.248
    OZAWA T, PRICE H M, AMO A, et al. Topological photonics[J]. Reviews of Modern Physics, 2019, 91(1): 015006. doi: 10.1103/RevModPhys.91.015006
    THOULESS D J, KOHMOTO M, NIGHTINGALE M P, et al. Quantized hall conductance in a two-dimensional periodic potential[J]. Physical Review Letters, 1982, 49(6): 405-408. doi: 10.1103/PhysRevLett.49.405
    KANE C L, MELE E J. Z 2 topological order and the quantum spin Hall effect[J]. Physical Review Letters, 2005, 95(14): 146802. doi: 10.1103/PhysRevLett.95.146802
    KANE C L, MELE E J. Quantum spin Hall effect in graphene[J]. Physical Review Letters, 2005, 95(22): 226801. doi: 10.1103/PhysRevLett.95.226801
    BERNEVIG B A, HUGHES T L, ZHANG SH CH. Quantum spin Hall effect and topological phase transition in HgTe quantum wells[J]. Science, 2006, 314(5806): 1757-1761. doi: 10.1126/science.1133734
    BERNEVIG B A, ZHANG SH CH. Quantum spin Hall effect[J]. Physical Review Letters, 2006, 96(10): 106802. doi: 10.1103/PhysRevLett.96.106802
    HASAN M Z, KANE C L. Colloquium: topological insulators[J]. Reviews of Modern Physics, 2010, 82(4): 3045-3067. doi: 10.1103/RevModPhys.82.3045
    QI X L, ZHANG SH CH. Topological insulators and superconductors[J]. Reviews of Modern Physics, 2011, 83(4): 1057-1110. doi: 10.1103/RevModPhys.83.1057
    HALDANE F D M, RAGHU S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry[J]. Physical Review Letters, 2008, 100(1): 013904. doi: 10.1103/PhysRevLett.100.013904
    HATSUGAI Y. Chern number and edge states in the integer quantum Hall effect[J]. Physical Review Letters, 1993, 71(22): 3697-3700. doi: 10.1103/PhysRevLett.71.3697
    FUKUI T, HATSUGAI Y, SUZUKI H. Chern numbers in discretized brillouin zone: efficient method of computing (Spin) hall conductances[J]. Journal of the Physical Society of Japan, 2005, 74(6): 1674-1677. doi: 10.1143/JPSJ.74.1674
    RAGHU S, HALDANE F D M. Analogs of quantum-Hall-effect edge states in photonic crystals[J]. Physical Review A, 2008, 78(3): 033834. doi: 10.1103/PhysRevA.78.033834
    WANG ZH, CHONG Y D, JOANNOPOULOS J D, et al. Observation of unidirectional backscattering-immune topological electromagnetic states[J]. Nature, 2009, 461(7265): 772-775. doi: 10.1038/nature08293
    WANG ZH, CHONG Y D, JOANNOPOULOS J D, et al. Reflection-free one-way edge modes in a gyromagnetic photonic crystal[J]. Physical Review Letters, 2008, 100(1): 013905. doi: 10.1103/PhysRevLett.100.013905
    SKIRLO S A, LU L, SOLJAČIĆ M. Multimode one-way waveguides of large chern numbers[J]. Physical Review Letters, 2014, 113(11): 113904. doi: 10.1103/PhysRevLett.113.113904
    SKIRLO S A, LU L, IGARASHI Y, et al. Experimental observation of large chern numbers in photonic crystals[J]. Physical Review Letters, 2015, 115(25): 253901. doi: 10.1103/PhysRevLett.115.253901
    FANG CH, LU L, LIU J W, et al. Topological semimetals with helicoid surface states[J]. Nature Physics, 2016, 12(10): 936-941. doi: 10.1038/nphys3782
    FU L, KANE C L. Topological insulators with inversion symmetry[J]. Physical Review B, 2007, 76(4): 045302. doi: 10.1103/PhysRevB.76.045302
    YU R, QI X L, BERNEVIG A, et al. Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection[J]. Physical Review B, 2011, 84(7): 075119. doi: 10.1103/PhysRevB.84.075119
    HAFEZI M, MITTAL S, FAN J, et al. Imaging topological edge states in silicon photonics[J]. Nature Photonics, 2013, 7(12): 1001-1005. doi: 10.1038/nphoton.2013.274
    HAFEZI M, DEMLER E A, LUKIN M D, et al. Robust optical delay lines with topological protection[J]. Nature Physics, 2011, 7(11): 907-912. doi: 10.1038/nphys2063
    HARARI G, BANDRES M A, LUMER Y, et al. Topological insulator laser: theory[J]. Science, 2018, 359(6381): eaar4003. doi: 10.1126/science.aar4003
    BANDRES M A, WITTEK S, HARARI G, et al. Topological insulator laser: experiments[J]. Science, 2018, 359(6381): eaar4005. doi: 10.1126/science.aar4005
    WU L H, HU X. Scheme for achieving a topological photonic crystal by using dielectric material[J]. Physical Review Letters, 2015, 114(22): 223901. doi: 10.1103/PhysRevLett.114.223901
    WU L H, HU X. Topological properties of electrons in honeycomb lattice with detuned hopping energy[J]. Scientific Reports, 2016, 6: 24347. doi: 10.1038/srep24347
    YANG Y T, XU Y F, XU T, et al. Visualization of a unidirectional electromagnetic waveguide using topological photonic crystals made of dielectric materials[J]. Physical Review Letters, 2018, 120(21): 217401. doi: 10.1103/PhysRevLett.120.217401
    ZHANG ZH W, WEI Q, CHENG Y, et al. Topological creation of acoustic pseudospin multipoles in a flow-free symmetry-broken metamaterial lattice[J]. Physical Review Letters, 2017, 118(8): 084303. doi: 10.1103/PhysRevLett.118.084303
    GORLACH M A, NI X, SMIRNOVA D A, et al. Far-field probing of leaky topological states in all-dielectric metasurfaces[J]. Nature Communications, 2018, 9(1): 909. doi: 10.1038/s41467-018-03330-9
    SHAO Z K, CHEN H ZH, WANG S, et al. A high-performance topological bulk laser based on band-inversion-induced reflection[J]. Nature Nanotechnology, 2020, 15(1): 67-72. doi: 10.1038/s41565-019-0584-x
    SMIRNOVA D, KRUK S, LEYKAM D, et al. Third-harmonic generation in photonic topological metasurfaces[J]. Physical Review Letters, 2019, 123(10): 103901. doi: 10.1103/PhysRevLett.123.103901
    PROCTOR M, CRASTER R V, MAIER S A, et al. Exciting pseudospin-dependent edge states in plasmonic metasurfaces[J]. ACS Photonics, 2019, 6(11): 2985-2995. doi: 10.1021/acsphotonics.9b01192
    LEE J, MAK K F, SHAN J. Electrical control of the valley Hall effect in bilayer MoS2 transistors[J]. Nature Nanotechnology, 2016, 11(5): 421-425. doi: 10.1038/nnano.2015.337
    MAK K F, MCGILL K L, PARK J, et al. Valleytronics. The valley Hall effect in MoS2 transistors[J]. Science, 2014, 344(6191): 1489-1492. doi: 10.1126/science.1250140
    SCHAIBLEY J R, YU H Y, CLARK G, et al. Valleytronics in 2D materials[J]. Nature Reviews Materials, 2016, 1(11): 16055. doi: 10.1038/natrevmats.2016.55
    DONG J W, CHEN X D, ZHU H Y, et al. Valley photonic crystals for control of spin and topology[J]. Nature Materials, 2017, 16(3): 298-302. doi: 10.1038/nmat4807
    HE X T, LIANG E T, YUAN J J, et al. A silicon-on-insulator slab for topological valley transport[J]. Nature Communications, 2019, 10(1): 872. doi: 10.1038/s41467-019-08881-z
    YANG Y H, YAMAGAMI Y, YU X B, et al. Terahertz topological photonics for on-chip communication[J]. Nature Photonics, 2020, 14(7): 446-451. doi: 10.1038/s41566-020-0618-9
    GONG Y K, WONG S, BENNETT A J, et al. Topological insulator laser using valley-hall photonic crystals[J]. ACS Photonics, 2020, 7(8): 2089-2097. doi: 10.1021/acsphotonics.0c00521
    WU X X, MENG Y, TIAN J X, et al. Direct observation of valley-polarized topological edge states in designer surface plasmon crystals[J]. Nature Communications, 2017, 8(1): 1304. doi: 10.1038/s41467-017-01515-2
    KANG Y H, NI X, CHENG X J, et al. Pseudo-spin-valley coupled edge states in a photonic topological insulator[J]. Nature Communications, 2018, 9(1): 3029. doi: 10.1038/s41467-018-05408-w
    GAO F, XUE H R, YANG ZH J, et al. Topologically protected refraction of robust kink states in valley photonic crystals[J]. Nature Physics, 2018, 14(2): 140-144. doi: 10.1038/nphys4304
    MA T, SHVETS G. All-Si valley-Hall photonic topological insulator[J]. New Journal of Physics, 2016, 18(2): 025012. doi: 10.1088/1367-2630/18/2/025012
    NOH J, HUANG SH, CHEN K P, et al. Observation of photonic topological valley hall edge states[J]. Physical Review Letters, 2018, 120(6): 063902. doi: 10.1103/PhysRevLett.120.063902
    GAO ZH, YANG ZH J, GAO F, et al. Valley surface-wave photonic crystal and its bulk/edge transport[J]. Physical Review B, 2017, 96(20): 201402. doi: 10.1103/PhysRevB.96.201402
    NI X, PURTSELADZE D, SMIRNOVA D A, et al. Spin- and valley-polarized one-way Klein tunneling in photonic topological insulators[J]. Science Advances, 2018, 4(5): eaap8802. doi: 10.1126/sciadv.aap8802
    CHEN W J, XIAO M, CHAN C T. Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states[J]. Nature Communications, 2016, 7: 13038. doi: 10.1038/ncomms13038
    LU L, FU L, JOANNOPOULOS J D, et al. Weyl points and line nodes in gyroid photonic crystals[J]. Nature Photonics, 2013, 7(4): 294-299. doi: 10.1038/nphoton.2013.42
    LI F, HUANG X Q, LU J Y, et al. Weyl points and Fermi arcs in a chiral phononic crystal[J]. Nature Physics, 2017, 14(1): 30-34.
    YANG Z J, ZHANG B L. Acoustic type-II weyl nodes from stacking dimerized chains[J]. Physical Review Letters, 2016, 117(22): 224301. doi: 10.1103/PhysRevLett.117.224301
    LU L, WANG ZH Y, YE D X, et al. Experimental observation of Weyl points[J]. Science, 2015, 349(6248): 622-624. doi: 10.1126/science.aaa9273
    YANG B, GUO Q H, TREMAIN B, et al. Ideal Weyl points and helicoid surface states in artificial photonic crystal structures[J]. Science, 2018, 359(6379): 1013-1016. doi: 10.1126/science.aaq1221
    YUAN L Q, LIN Q, XIAO M, et al. Synthetic dimension in photonics[J]. Optica, 2018, 5(11): 1369-1405.
    JIAN CH M, XU C K. Interacting topological insulators with synthetic dimensions[J]. Physical Review X, 2018, 8(4): 041030. doi: 10.1103/PhysRevX.8.041030
    LI Q C, JIANG X Y. Singularity induced topological transition of different dimensions in one synthetic photonic system[J]. Optics Communications, 2019, 440: 32-40. doi: 10.1016/j.optcom.2019.02.015
    YUAN L Q, XIAO M, LIN Q, et al. Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation[J]. Physical Review B, 2018, 97(10): 104105. doi: 10.1103/PhysRevB.97.104105
    CHALOPIN T, SATOOR T, EVRARD A, et al. Probing chiral edge dynamics and bulk topology of a synthetic Hall system[J]. Nature Physics, 2020, 16(10): 1017-1021. doi: 10.1038/s41567-020-0942-5
    LUO X W, ZHANG J, ZHANG CH W. Tunable flux through a synthetic Hall tube of neutral fermions[J]. Physical Review A, 2020, 102(6): 063327. doi: 10.1103/PhysRevA.102.063327
    WANG Q, XIAO M, LIU H, et al. Optical interface states protected by synthetic Weyl points[J]. Physical Review X, 2017, 7(3): 031032. doi: 10.1103/PhysRevX.7.031032
    LIN Q, XIAO M, YUAN L Q, et al. Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension[J]. Nature Communications, 2016, 7: 13731. doi: 10.1038/ncomms13731
    YUAN L Q, SHI Y, FAN SH H. Photonic gauge potential in a system with a synthetic frequency dimension[J]. Optics Letters, 2016, 41(4): 741-744. doi: 10.1364/OL.41.000741
    LIN Q, SUN X Q, XIAO M, et al. A three-dimensional photonic topological insulator using a two-dimensional ring resonator lattice with a synthetic frequency dimension[J]. Science Advances, 2018, 4(10): eaat2774. doi: 10.1126/sciadv.aat2774
    OZAWA T, PRICE H M, GOLDMAN N, et al. Synthetic dimensions in integrated photonics: from optical isolation to four-dimensional quantum Hall physics[J]. Physical Review A, 2016, 93(4): 043827. doi: 10.1103/PhysRevA.93.043827
    MINKOV M, SAVONA V. Haldane quantum Hall effect for light in a dynamically modulated array of resonators[J]. Optica, 2016, 3(2): 200-206. doi: 10.1364/OPTICA.3.000200
    MIDYA B, ZHAO H, FENG L. Non-Hermitian photonics promises exceptional topology of light[J]. Nature Communications, 2018, 9(1): 2674. doi: 10.1038/s41467-018-05175-8
    ZHANG L, YANG Y H, LIN ZH K, et al. Higher-order topological states in surface-wave photonic crystals[J]. Advanced Science, 2020, 7(6): 1902724. doi: 10.1002/advs.201902724
    BENALCAZAR W A, BERNEVIG B A, HUGHES T L. Quantized electric multipole insulators[J]. Science, 2017, 357(6346): 61-66. doi: 10.1126/science.aah6442
    SERRA-GARCIA M, PERI V, SÜSSTRUNK R, et al. Observation of a phononic quadrupole topological insulator[J]. Nature, 2018, 555(7696): 342-345. doi: 10.1038/nature25156
    ZHANG W X, XIE X, HAO H M, et al. Low-threshold topological nanolasers based on the second-order corner state[J]. Light:Science &Applications, 2020, 9: 109.
    XIE B Y, SU G X, WANG H F, et al. Higher-order quantum spin Hall effect in a photonic crystal[J]. Nature Communications, 2020, 11(1): 3768. doi: 10.1038/s41467-020-17593-8
    XIE B Y, WANG H F, WANG H X, et al. Second-order photonic topological insulator with corner states[J]. Physical Review B, 2018, 98(20): 205147. doi: 10.1103/PhysRevB.98.205147
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索


    Article views(1768) PDF downloads(269) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint