中国物理B ›› 2022, Vol. 31 ›› Issue (7): 74101-074101.doi: 10.1088/1674-1056/ac4e03

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Goos-Hänchen and Imbert-Fedorov shifts in tilted Weyl semimetals

Shuo-Qing Liu(刘硕卿)1,†, Yi-Fei Song(宋益飞)1,†, Ting Wan(万婷)1, You-Gang Ke(柯友刚)1, and Zhao-Ming Luo(罗朝明)1,2,‡   

  1. 1 Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China;
    2 School of Physics and Chemistry, Hunan First Normal University, Changsha 410205, China
  • 收稿日期:2021-11-12 修回日期:2021-12-28 接受日期:2022-01-24 出版日期:2022-06-09 发布日期:2022-06-13
  • 通讯作者: Zhao-Ming Luo E-mail:zhaomingluo@hnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 62075060), the Natural Science Foundation of Hunan Province (Grant No. 2020JJ4033), the Research Foundation of Education Bureau of Hunan Province (Grant Nos. 20A218 and 19A198), Science and Technology Plan Project of Hunan Province (Grant No. 2019TP1014), and the Hunan Province Innovation Foundation for Postgraduate Grant (Grant No. CX20211185).

Goos-Hänchen and Imbert-Fedorov shifts in tilted Weyl semimetals

Shuo-Qing Liu(刘硕卿)1,†, Yi-Fei Song(宋益飞)1,†, Ting Wan(万婷)1, You-Gang Ke(柯友刚)1, and Zhao-Ming Luo(罗朝明)1,2,‡   

  1. 1 Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China;
    2 School of Physics and Chemistry, Hunan First Normal University, Changsha 410205, China
  • Received:2021-11-12 Revised:2021-12-28 Accepted:2022-01-24 Online:2022-06-09 Published:2022-06-13
  • Contact: Zhao-Ming Luo E-mail:zhaomingluo@hnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 62075060), the Natural Science Foundation of Hunan Province (Grant No. 2020JJ4033), the Research Foundation of Education Bureau of Hunan Province (Grant Nos. 20A218 and 19A198), Science and Technology Plan Project of Hunan Province (Grant No. 2019TP1014), and the Hunan Province Innovation Foundation for Postgraduate Grant (Grant No. CX20211185).

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摘要： We establish the beam models of Goos-Hänchen (GH) and Imbert-Fedorov (IF) effects in tilted Weyl semimetals (WSMs), and systematically study the influences of Weyl cone tilting and chemical potential on the GH and IF shifts at a certain photon energy 1.96 eV. It is found that the GH and IF shifts in tilted type-I and type-Ⅱ WSMs are both almost symmetric about the Weyl cone tilting. Meanwhile, the GH and IF shifts in type-I WSMs almost do not change with the tilt degree of Weyl cones, while those in type-Ⅱ WSMs are extremely dependent on tilt degree. These trends are mainly due to the nearly symmetric distribution of WSMs conductivities, where the conductivities keep stable in type-I WSMs and gradually decrease with tilt degree in type-Ⅱ WSMs. By adjusting the chemical potential, the boundary between type-I and type-Ⅱ WSMs widens, and the dependence of the beam shifts on the tilt degree can be manipulated. Furthermore, by extending the relevant discussions to a wider frequency band, the peak fluctuation of GH shifts and the decrease of IF shifts occur gradually as the frequency increases, and the performance of beam shifts at photon energy 1.96 eV is equally suitable for other photon frequencies. The above findings provide a new reference for revisiting the beam shifts in tilted WSMs and determining the types of WSMs.

关键词: Goos-Hänchen shift, Imbert-Fedorov shift, Weyl cone tilting, chemical potential

Abstract: We establish the beam models of Goos-Hänchen (GH) and Imbert-Fedorov (IF) effects in tilted Weyl semimetals (WSMs), and systematically study the influences of Weyl cone tilting and chemical potential on the GH and IF shifts at a certain photon energy 1.96 eV. It is found that the GH and IF shifts in tilted type-I and type-Ⅱ WSMs are both almost symmetric about the Weyl cone tilting. Meanwhile, the GH and IF shifts in type-I WSMs almost do not change with the tilt degree of Weyl cones, while those in type-Ⅱ WSMs are extremely dependent on tilt degree. These trends are mainly due to the nearly symmetric distribution of WSMs conductivities, where the conductivities keep stable in type-I WSMs and gradually decrease with tilt degree in type-Ⅱ WSMs. By adjusting the chemical potential, the boundary between type-I and type-Ⅱ WSMs widens, and the dependence of the beam shifts on the tilt degree can be manipulated. Furthermore, by extending the relevant discussions to a wider frequency band, the peak fluctuation of GH shifts and the decrease of IF shifts occur gradually as the frequency increases, and the performance of beam shifts at photon energy 1.96 eV is equally suitable for other photon frequencies. The above findings provide a new reference for revisiting the beam shifts in tilted WSMs and determining the types of WSMs.

Key words: Goos-Hänchen shift, Imbert-Fedorov shift, Weyl cone tilting, chemical potential

中图分类号:  (Electromagnetic wave propagation; radiowave propagation)

  • 41.20.Jb
42.25.Dd (Wave propagation in random media) 78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity)) 78.20.-e (Optical properties of bulk materials and thin films)