中国物理B ›› 2022, Vol. 31 ›› Issue (12): 124204-124204.doi: 10.1088/1674-1056/ac9220

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High-order harmonic generations in tilted Weyl semimetals

Zi-Yuan Li(李子元), Qi Li(李骐), and Zhou Li(李舟)   

  1. GBA Branch of Aerospace Information Research Institute, Chinese Academy of Sciences, Guangzhou 510700, China
  • 收稿日期:2022-05-23 修回日期:2022-09-01 接受日期:2022-09-15 出版日期:2022-11-11 发布日期:2022-11-11
  • 通讯作者: Zi-Yuan Li E-mail:liziyuan3210087@gmail.com
  • 基金资助:
    We thank Tatsuhiko N. Ikeda for illuminating discussions. This work was performed at the Chinese Academy of Science Terahertz Science Center, and was supported by the National Natural Science Foundation of China (Grant No. 61988102).

High-order harmonic generations in tilted Weyl semimetals

Zi-Yuan Li(李子元), Qi Li(李骐), and Zhou Li(李舟)   

  1. GBA Branch of Aerospace Information Research Institute, Chinese Academy of Sciences, Guangzhou 510700, China
  • Received:2022-05-23 Revised:2022-09-01 Accepted:2022-09-15 Online:2022-11-11 Published:2022-11-11
  • Contact: Zi-Yuan Li E-mail:liziyuan3210087@gmail.com
  • Supported by:
    We thank Tatsuhiko N. Ikeda for illuminating discussions. This work was performed at the Chinese Academy of Science Terahertz Science Center, and was supported by the National Natural Science Foundation of China (Grant No. 61988102).

摘要: We investigate high-order harmonic generations (HHGs) under comparison of Weyl cones in two types. Due to the hyperboloidal electron pocket structure, strong noncentrosymmetrical generations in high orders are observed around a single type-II Weyl point, especially at zero frequency. Such a remarkable DC signal is proved to have attributions from the intraband transition after spectral decomposition. Under weak pulse electric field, the linear optical response of a non-tilted Weyl cone is consistent with the Kubo theory. With extensive numerical simulations, we conclude that the non-zero chemical potential can enhance the even-order generations, from the slightly tilted system to the over-tilted systems. In consideration of dynamical symmetries, type-I and type-II Weyl cones also show different selective responses under the circularly polarized light. Finally, using a more realistic model containing two pairs of Weyl points, we demonstrate that paired Weyl points with opposite chirality can suppress the overall even-order generations.

关键词: high order harmonic generation, nonlinear optics, Weyl semimetals

Abstract: We investigate high-order harmonic generations (HHGs) under comparison of Weyl cones in two types. Due to the hyperboloidal electron pocket structure, strong noncentrosymmetrical generations in high orders are observed around a single type-II Weyl point, especially at zero frequency. Such a remarkable DC signal is proved to have attributions from the intraband transition after spectral decomposition. Under weak pulse electric field, the linear optical response of a non-tilted Weyl cone is consistent with the Kubo theory. With extensive numerical simulations, we conclude that the non-zero chemical potential can enhance the even-order generations, from the slightly tilted system to the over-tilted systems. In consideration of dynamical symmetries, type-I and type-II Weyl cones also show different selective responses under the circularly polarized light. Finally, using a more realistic model containing two pairs of Weyl points, we demonstrate that paired Weyl points with opposite chirality can suppress the overall even-order generations.

Key words: high order harmonic generation, nonlinear optics, Weyl semimetals

中图分类号:  (Nonlinear optics)

  • 42.65.-k
33.57.+c (Magneto-optical and electro-optical spectra and effects) 78.20.-e (Optical properties of bulk materials and thin films) 78.20.Bh (Theory, models, and numerical simulation)