Semiclassical dynamics and transport of the Dirac spin |
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| Authors: | Chih-Piao Chuu Ming-Che Chang Qian Niu |
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| Affiliation: | 1. Department of Physics, University of Texas at Austin, Austin, TX 78712, United States;2. Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan;1. Institute of Materials Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;2. China Steel Cooperation, Kaoshung, Taiwan;3. Institute of Materials Science and Engineering, Department of Mechanical Engineering, National Central University, Chung-Li 32001, Taiwan;1. Shenzhen Key Laboratory of Advanced Materials, Department of Materials Science and Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China;2. College of Materials Science and Engineering, Shenzhen University, Shenzhen 518060, China;3. Nanotechnology Laboratory, Department of Metallurgical and Materials Engineering, Indian Institute of Technology, Madras, Chennai 600036, India |
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| Abstract: | A semiclassical theory of spin dynamics and transport is formulated using the Dirac electron model. This is done by constructing a wavepacket from the positive-energy electron band, and studying its structure and center of mass motion. The wavepacket has a minimal size equal to the Compton wavelength, and has self-rotation about the average spin angular momentum, which gives rise to the spin magnetic moment. Geometric gauge structure in the center of mass motion provides a natural explanation of the spin-orbit coupling and various Yafet terms. Applications of the spin-Hall and spin-Nernst effects are discussed. |
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