中国物理B ›› 2021, Vol. 30 ›› Issue (6): 66701-066701.doi: 10.1088/1674-1056/abddaa

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Floquet bands and photon-induced topological edge states of graphene nanoribbons

Weijie Wang(王威杰), Xiaolong Lü(吕小龙), and Hang Xie(谢航)   

  1. College of Physics, Chongqing University, Chongqing, China
  • 收稿日期:2020-12-14 修回日期:2021-01-14 接受日期:2021-01-20 出版日期:2021-05-18 发布日期:2021-06-05
  • 通讯作者: Xiaolong Lu E-mail:xiehangphy@cqu.edu.cn
  • 基金资助:
    Project supported by the starting foundation of Chongqing University (Grant No. 0233001104429), the National Natural Science Foundation of China (Grant No. 11847301), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2020CQJQY-Z003).

Floquet bands and photon-induced topological edge states of graphene nanoribbons

Weijie Wang(王威杰), Xiaolong Lü(吕小龙), and Hang Xie(谢航)   

  1. College of Physics, Chongqing University, Chongqing, China
  • Received:2020-12-14 Revised:2021-01-14 Accepted:2021-01-20 Online:2021-05-18 Published:2021-06-05
  • Contact: Xiaolong Lu E-mail:xiehangphy@cqu.edu.cn
  • Supported by:
    Project supported by the starting foundation of Chongqing University (Grant No. 0233001104429), the National Natural Science Foundation of China (Grant No. 11847301), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2020CQJQY-Z003).

摘要: Floquet theorem is widely used in the light-driven systems. But many 2D-materials models under the radiation are investigated with the high-frequency approximation, which may not be suitable for the practical experiment. In this work, we employ the non-perturbative Floquet method to strictly investigate the photo-induced topological phase transitions and edge states properties of graphene nanoribbons under the light irradiation of different frequencies (including both low and high frequencies). By analyzing the Floquet energy bands of ribbon and bulk graphene, we find the cause of the phase transitions and its relation with edge states. Besides, we also find the size effect of the graphene nanoribbon on the band gap and edge states in the presence of the light.

关键词: Floquet bands, graphene, topological phase transition, edge states

Abstract: Floquet theorem is widely used in the light-driven systems. But many 2D-materials models under the radiation are investigated with the high-frequency approximation, which may not be suitable for the practical experiment. In this work, we employ the non-perturbative Floquet method to strictly investigate the photo-induced topological phase transitions and edge states properties of graphene nanoribbons under the light irradiation of different frequencies (including both low and high frequencies). By analyzing the Floquet energy bands of ribbon and bulk graphene, we find the cause of the phase transitions and its relation with edge states. Besides, we also find the size effect of the graphene nanoribbon on the band gap and edge states in the presence of the light.

Key words: Floquet bands, graphene, topological phase transition, edge states

中图分类号:  (Bose-Einstein condensates in optical potentials)

  • 67.85.Hj
73.22.Pr (Electronic structure of graphene) 73.20.At (Surface states, band structure, electron density of states) 78.67.-n (Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)