Spin force and intrinsic spin Hall effect in spintronics systems
1 Department of Electrical and Computer Engineering, National University of Singapore - 4 Engineering Drive 3, Singapore 117576, Singapore
2 Data Storage Institute, Agency for Science, Technology and Research (A*STAR) - DSI Building, 5 Engineering Drive 1, Singapore 117608, Singapore
Received: 29 April 2014
Accepted: 12 July 2014
We investigate the spin Hall effect (SHE) in a wide class of spin-orbit coupling systems by using the spin force picture. We derive the general relation equation between spin force and spin current and show that the longitudinal force component can induce a spin Hall current, from which we reproduce the spin Hall conductivity obtained previously using Kubo's formula. This simple spin force picture gives a clear and intuitive explanation for SHE.
PACS: 71.70.Ej – Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect / 75.76.+j – Spin transport effects / 03.65.-w – Quantum mechanics
© EPLA, 2014