2013/04/03 by Seng Ghee Tan, Tan, Seng Ghee, Mansoor B. A. Jalil +1
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.1304.0830
11 pages, 4 figures
arxiv created 2013/04/03 · arxiv updated 2013/04/04
Spin Hall effect (SHE) in a 2D-Rashba system has been treated in the spin-dependent precession [J. Sinova et al., Phys. Rev. Letts. 92, 126603 (2004).] and the time-space gauge [T. Fujita et al., New J. Phys. 12, 013016 (2010).] approaches, both yielding SHE conductivity of σyz=e/8π . Separate studies based on the concept of spin transverse force [S-Q Shen, Phys. Rev. Lett. 95, 187203 (2005).] provide a heuristic but not a quantifiable indication of SHE. In this paper, we provide a more complete description of the SHE using the Heisenberg approach, unifying the Yang-Mills force, the Heisenberg spin force, and the SHE σyz under the classical notion of forces and accelerations. Central to this paper is the spin force equations that are satisfied by both σyz and σxz, the Yang-Mills, and the Heisenberg spin forces. By linking σyz to the spin forces, one sees that the physics of SHE in a 2D-Rashba system is also a simple classical Lorentz force picture.