Topological edge and corner states in biphenylene photonic crystal

被引:5
作者
Phan, Huyen thanh [1 ]
Koizumi, Keiki [1 ]
Liu, Feng [2 ,3 ]
Wakabayashi, Katsunori [1 ,4 ,5 ]
机构
[1] Kwansei Gakuin Univ, Sch Sci & Technol, Dept Nanotechnol Sustainable Energy, 1 Gakuen Uegahara, Sanda, Hyogo 6691330, Japan
[2] Ningbo Univ, Sch Phys Sci & Technol, Ningbo 315211, Peoples R China
[3] Ningbo Univ, Inst High Pressure Phys, Ningbo 315211, Peoples R China
[4] Osaka Univ, Ctr Spintron Res Network CSRN, Toyonaka 5608531, Japan
[5] Natl Inst Mat Sci NIMS, Tsukuba, Ibaraki 3050044, Japan
基金
日本学术振兴会;
关键词
INSULATOR; PHASE;
D O I
10.1364/OE.510595
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The biphenylene network (BPN) has a unique two-dimensional atomic structure, where hexagonal unit cells are arranged on a square lattice. Inspired by such a BPN structure, we design a counterpart in the fashion of photonic crystals (PhCs), which we refer to as the BPN PhC. We study the photonic band structure using the finite element method and characterize the topological properties of the BPN PhC through the use of the Wilson loop. Our findings reveal the emergence of topological edge states in the BPN PhC, specifically in the zigzag edge and the chiral edge, as a consequence of the nontrivial Zak phase in the corresponding directions. In addition, we find the localization of electromagnetic waves at the corners formed by the chiral edges, which can be considered as second-order topological states, i.e., topological corner states.
引用
收藏
页码:2223 / 2234
页数:12
相关论文
共 56 条
[1]   Topological Insulator Materials [J].
Ando, Yoichi .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2013, 82 (10)
[2]   Biphenylene monolayer as a two-dimensional nonbenzenoid carbon allotrope: a first-principles study [J].
Bafekry, A. ;
Faraji, M. ;
Fadlallah, M. M. ;
Jappor, H. R. ;
Karbasizadeh, S. ;
Ghergherehchi, M. ;
Gogova, D. .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2022, 34 (01)
[3]   Colloquium: Topological band theory [J].
Bansil, A. ;
Lin, Hsin ;
Das, Tanmoy .
REVIEWS OF MODERN PHYSICS, 2016, 88 (02)
[4]   Quantized electric multipole insulators [J].
Benalcazar, Wladimir A. ;
Bernevig, B. Andrei ;
Hughes, Taylor L. .
SCIENCE, 2017, 357 (6346) :61-66
[5]   Quantum spin Hall effect and topological phase transition in HgTe quantum wells [J].
Bernevig, B. Andrei ;
Hughes, Taylor L. ;
Zhang, Shou-Cheng .
SCIENCE, 2006, 314 (5806) :1757-1761
[6]   Tutorial: Computing Topological Invariants in 2D Photonic Crystals [J].
Blanco de Paz, Maria ;
Devescovi, Chiara ;
Giedke, Geza ;
Jose Saenz, Juan ;
Vergniory, Maia G. ;
Bradlyn, Barry ;
Bercioux, Dario ;
Garcia-Etxarri, Aitzol .
ADVANCED QUANTUM TECHNOLOGIES, 2020, 3 (02)
[7]   Direct Observation of Corner States in Second-Order Topological Photonic Crystal Slabs [J].
Chen, Xiao-Dong ;
Deng, Wei-Min ;
Shi, Fu-Long ;
Zhao, Fu-Li ;
Chen, Min ;
Dong, Jian-Wen .
PHYSICAL REVIEW LETTERS, 2019, 122 (23)
[8]   Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance, and experimental verification [J].
Chen, Xiao-Dong ;
Zhao, Ding ;
Zhu, Xiao-Sheng ;
Shi, Fu-Long ;
Liu, Huan ;
Lu, Jin-Cheng ;
Chen, Min ;
Dong, Jian-Wen .
PHYSICAL REVIEW A, 2018, 97 (01)
[9]   Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3 [J].
Chen, Y. L. ;
Analytis, J. G. ;
Chu, J. -H. ;
Liu, Z. K. ;
Mo, S. -K. ;
Qi, X. L. ;
Zhang, H. J. ;
Lu, D. H. ;
Dai, X. ;
Fang, Z. ;
Zhang, S. C. ;
Fisher, I. R. ;
Hussain, Z. ;
Shen, Z. -X. .
SCIENCE, 2009, 325 (5937) :178-181
[10]   Zak phase and the existence of edge states in graphene [J].
Delplace, P. ;
Ullmo, D. ;
Montambaux, G. .
PHYSICAL REVIEW B, 2011, 84 (19)