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Thermodynamic ground and Berry-phase origin of the planar spin Hall effect

Haolin Pan1,2, Zheng Liu1, Dazhi Hou1,2,*, Yang Gao1,2,3,†, and Qian Niu1,2,3

  • 1Department of Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 2Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 3Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China

  • *dazhi@ustc.edu.cn
  • †ygao87@ustc.edu.cn

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