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Spinor Boltzmann equation with Berry curvature

Author

Listed:
  • Xiao-Tong Xu

    (University of Chinese Academy of Sciences)

  • Ya-Ru Wang

    (University of Chinese Academy of Sciences)

  • Chao Yang

    (Wuyi University)

  • Zheng-Chuan Wang

    (University of Chinese Academy of Sciences)

Abstract

In this paper, we study the influence of Berry curvature on spin-dependent transport in the system with spin-orbit coupling. The interaction of spin-orbit coupling in ferromagnets will induce a non-zero Berry curvature by breaking the time-reversal symmetry, which has effect on both charge and spin transport processes. We introduce the Berry curvature into spinor Boltzmann equation by modifying the effective velocity of electron, then derive the Berry curvature-concerned expressions for spin accumulation, spin current, and charge current, and investigate the influence of Berry curvature on the transport process. Comparisons are also made with the spinor Boltzmann equations which includes Rashba spin-orbit coupling but without Berry curvature. Graphical abstract

Suggested Citation

  • Xiao-Tong Xu & Ya-Ru Wang & Chao Yang & Zheng-Chuan Wang, 2024. "Spinor Boltzmann equation with Berry curvature," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-10, November.
  • Handle: RePEc:spr:eurphb:v:97:y:2024:i:11:d:10.1140_epjb_s10051-024-00811-3
    DOI: 10.1140/epjb/s10051-024-00811-3
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    References listed on IDEAS

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    1. Wang, Zheng-Chuan, 2018. "The spinor Boltzmann equation with Rashba spin–orbit coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 395-402.
    2. Chao Yang & Zheng-Chuan Wang & Qing-Rong Zheng & Gang Su, 2019. "Generalized spin-orbit torques in two-dimensional ferromagnets with spin-orbit coupling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(6), pages 1-7, June.
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