Fractal topological band-gap structure induced by singularities in the one-dimensional Thue-Morse system

被引：6
|
作者：
Zhang, Yu [1 ,2 ,3 ]
Xiong, Langlang [1 ,3 ]
Zhang, Meng [1 ,3 ]
Jiang, Xunya [1 ,2 ,3 ]
机构：
[1] Fudan Univ, Engn Res Ctr Adv Lighting Technol, Minist Educ, Shanghai 200433, Peoples R China
[2] Fudan Univ, Sch Informat Sci & Engn, Dept Illuminating Engn & Light Sources, Shanghai 200433, Peoples R China
[3] Fudan Univ, Acad Engn & Technol, Inst Future Lighting, Shanghai 200433, Peoples R China
来源：
PHOTONICS RESEARCH | 2021年 / 9卷 / 04期
关键词：
D O I：
10.1364/PRJ.405230
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The physical origin of the fractal topological band-gap structure in the one-dimensional Thue-Morse system has been revealed, which is characterized by the evolutions of two types of topological singularities with zero-scattering properties and the paths of phase vortex points, which are the mirrored paths of the first-type singularities. The field distribution of the upper and lower gap-edge states will interchange when the traditional gaps are closed and reopened. The topologically protected edge-states are found at both traditional gaps and fractal gaps. Our work broadens the topological properties of quasicrystals or aperiodic systems and provides potential applications in new optoelectronic devices. (C) 2021 Chinese Laser Press
引用
收藏
页码：622 / 629
页数：8
相关论文
共 50 条
  • [31] Band-Gap Structure and Singular Character of Bounded One-Dimensional Multibarrier Potentials
    D. Bar
    International Journal of Theoretical Physics, 2005, 44 : 1281 - 1302
  • [32] Effects of Kerr nonlinearity on the band-gap structure of one-dimensional photonic crystals
    Liu, NH
    Fu, JW
    ACTA PHYSICA SINICA, 2003, 52 (06) : 1418 - 1421
  • [33] Omnidirectional Photonic Band Gap in One-Dimensional Ternary Superconductor-Dielectric Photonic Crystals Based on a New Thue–Morse Aperiodic Structure
    Hai-Feng Zhang
    Shao-Bin Liu
    Huan Yang
    Journal of Superconductivity and Novel Magnetism, 2014, 27 : 41 - 52
  • [34] Interferential polychromatic filters based on the quasi-periodic one-dimensional generalized multilayer Thue-Morse structures
    Bouazzi, Yassine
    Kanzari, Mounir
    OPTICA APPLICATA, 2009, 39 (03) : 489 - 498
  • [35] Interferential polychromatic filters based on the quasi-periodic one-dimensional generalized multilayer Thue-Morse structures
    Laboratoire de Photovoltaïque et Matériaux Semi-conducteurs , Ecole Nationale d'Ingénieurs de Tunis BP 37, le Belvédère 1002 Tunis, Tunisia
    Opt Appl, 2009, 3 (489-498):
  • [36] A reconfigurable device based on the one-dimensional magnetized plasma photonic crystals nested with the Pell and Thue-Morse sequences
    Guo, Si-Jia
    Hu, Cai-Xing
    Zhang, Hai-Feng
    OPTICAL AND QUANTUM ELECTRONICS, 2020, 52 (08)
  • [37] Investigation of unidirectional ultra-wideband absorption in the one-dimensional plasma photonic crystals with Thue-Morse sequence
    Zhang, Hai-Feng
    Ma, Yu
    Li, Wen-Yu
    Liu, Ting
    PHYSICS OF PLASMAS, 2019, 26 (01)
  • [38] Transmittance spectrum in a semiconductor-superconductor quasi-periodic Thue-Morse one-dimensional photonic crystal
    Segovia-Chaves, Francis
    Vinck-Posada, Herbert
    Gomez, Edgar A.
    PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 2020, 579
  • [39] Microwave transmission through one-dimensional hybrid quasi-regular (fibonacci and Thue-Morse)/periodic structures
    Trabelsi Y.
    Benali N.
    Bouazzi Y.
    Kanzari M.
    Photonic Sensors, 2013, 3 (3) : 246 - 255
  • [40] Band-gap analysis of one-dimensional photonic crystals and conditions for gap closing
    Nusinsky, I
    Hardy, AA
    PHYSICAL REVIEW B, 2006, 73 (12):
12345