Generating Spin Polarization from Vorticity through Nonlocal Collisions

被引:124
作者
Weickgenannt, Nora [1 ]
Speranza, Enrico [1 ]
Sheng, Xin-li [2 ,3 ]
Wang, Qun [1 ]
Rischke, Dirk H. [1 ,2 ,3 ,4 ]
机构
[1] Goethe Univ, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany
[2] Univ Sci & Technol China, Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China
[3] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
[4] Helmholtz Res Acad Hesse FAIR, Campus Riedberg,Max von Laue Str 12, D-60438 Frankfurt, Germany
基金
中国国家自然科学基金;
关键词
ANGULAR-MOMENTUM; KINETIC-THEORY; PARTICLES; FLUID;
D O I
10.1103/PhysRevLett.127.052301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive the collision term in the Boltzmann equation using the equation of motion for the Wigner function of massive spin-1/2 particles. To next-to-lowest order in., it contains a nonlocal contribution, which is responsible for the conversion of orbital into spin angular momentum. In a proper choice of pseudogauge, the antisymmetric part of the energy-momentum tensor arises solely from this nonlocal contribution. We show that the collision term vanishes in global equilibrium and that the spin potential is, then, equal to the thermal vorticity. In the nonrelativistic limit, the equations of motion for the energy-momentum and spin tensors reduce to the well-known form for hydrodynamics for micropolar fluids.
引用
收藏
页数:7
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