Volume 124, Number 1, October 2018
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||09 November 2018|
Variational approach to the stationary spin-Hall effect
1 Laboratoire des Solides Irradiés, Ecole polytechnique, CNRS, CEA, Université Paris-Saclay F-91128 Palaiseau, France
2 LAMPS, Université de Perpignan Via Domitia - 52 Avenue Paul Alduy, F-66860 Perpignan, France
Received: 24 March 2018
Accepted: 3 October 2018
The Kirchhoff-Helmholtz principle of least heat dissipation is applied in order to take into account the electrostatic screening in the derivation of the stationary states of the spin-Hall effect. Spin-orbit interaction, spin-flip relaxation, and charge accumulation are treated on an equal footing in the variational approach. It is shown that the electrostatic screening modifies the steady-state continuity equation due to the presence of surface currents, and that the stationary state defined by a linear spin-accumulation potential and zero pure spin current corresponds to the minimum power dissipated in the device.
PACS: 72.25.Mk – Spin transport through interfaces / 85.75.-d – Magnetoelectronics; spintronics: devices exploiting spin polarized transport or integrated magnetic fields
© EPLA, 2018
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