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Entropy 2011, 13(2), 316-331; doi:10.3390/e13020316

Spin-Currents and Spin-Pumping Forces for Spintronics

Ecole Polytechnique, LSI, CNRS and CEA/DSM/IRAMIS, Palaiseau F-91128, France
* Author to whom correspondence should be addressed.
Received: 9 December 2010 / Revised: 24 December 2010 / Accepted: 28 December 2010 / Published: 28 January 2011
(This article belongs to the Special Issue Advances in Thermodynamics)
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A general definition of the Spintronics concept of spin-pumping is proposed as generalized forces conjugated to the spin degrees of freedom in the framework of the theory of mesoscopic non-equilibrium thermodynamics. It is shown that at least three different kinds of spin-pumping forces and associated spin-currents can be defined in the most simple spintronics system: the Ferromagnetic/Non-Ferromagnetic metal interface. Furthermore, the generalized force associated with the ferromagnetic collective variable is also introduced on an equal footing to describe the coexistence of the spin of the conduction electrons (paramagnetic spins attached to s-band electrons) and the ferromagnetic-order parameter. The dynamical coupling between these two kinds of magnetic degrees of freedom is presented and interpreted in terms of spin-transfer effects.
Keywords: spin pumping; dynamics of the magnetization; spin transfer spin pumping; dynamics of the magnetization; spin transfer
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wegrowe, J.-E.; Drouhin, H.-J. Spin-Currents and Spin-Pumping Forces for Spintronics. Entropy 2011, 13, 316-331.

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