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arXiv · 1803.08891

Variational approach to the stationary spin-Hall effect

Jean-Eric Wegrowe·Pierre-Michel Dejardin
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Abstract

The Kirchhoff-Helmholtz principle of least heat dissipation is applied in order to derive the stationary state of the spin-Hall effect. Spin-accumulation due to spin-orbit interaction, spin-flip relaxation, and electrostatic interaction due to charge accumulation are treated on an equal footing. A nonlinear differential equation is derived, that describes both surface and bulk currents and spin-dependent chemical potentials. It is shown that if the ratio of the spin-flip relaxation length over the Debye-Fermi length is small, the stationary state is defined by a linear spin-accumulation potential and zero pure spin-current.

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Jean-Eric Wegrowe, Pierre-Michel Dejardin. 2018-03-16. Variational approach to the stationary spin-Hall effect. https://doi.org/10.1209/0295-5075%2F124%2F17003

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