https://doi.org/10.1140/epjb/s10051-024-00811-3
Regular Article - Solid State and Materials
Spinor Boltzmann equation with Berry curvature
1
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China
2
College of Mechanical and Electrical Engineering, Wuyi University, 354300, Wuyishan, Fujian, China
Received:
1
August
2024
Accepted:
17
October
2024
Published online:
4
November
2024
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
