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We investigate the compatibility of the concept of "charge to spin current conversion" with the second law of thermodynamics in the context of the spin-Hall effect (SHE).
This investigation is performed in the framework of the two spin channel model of the SHE.
It is first shown that the spin-accumulation due to spin-flip scattering at the interface is independent of the We investigate the compatibility of the electric charge to spin current conversion with the second law of the thermodynamics in the spin-Hall effect (SHE).
This investigation is performed in the framework of the two spin channel model of the SHE.
It is first shown that the spin-accumulation due to spin-flip scattering at the interface is independent of the spin-accumulation due to SHE, if the spin-flip scattering length is much larger than the electrostatic screening length [1].
A variational technique based on the least dissipation principle is then applied. We show that, for a bulk paramagnet with spin-orbit interaction, in the case of the Hall bar geometry the principle of minimum dissipated power prevents the generation of transverse spin and charge currents while in the case of the Corbino disk geometry, transverse currents can be produced. More generally, we show that electric charge accumulation prevents the stationary spin to charge current conversion to occur inside the device [2].
[1] J.-E. Wegrowe, "Stationary state and screening equations in spin-Hall effect", arXiv:1701.0601 (2017)
[2] J.-E. Wegrowe, R. V. Benda, and J. M. Rubi, Conditions for the generation of sin current in spin-Hall devices, arXiv :1609.03916v1 [cond-mat.mes-hall] 2016.
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