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

Article

Spin-Currents and Spin-Pumping Forces for Spintronics

Jean-Eric Wegrowe and Henri-Jean Drouhin

Ecole Polytechnique, LSI, CNRS and CEA/DSM/IRAMIS, Palaiseau F-91128, France

* Author to whom correspondence should be addressed.

Received: 9 December 2010; in revised form: 24 December 2010 / Accepted: 28 December 2010 / Published: 28 January 2011

(This article belongs to the Special Issue Advances in Thermodynamics)

Download PDF Full-Text [158 KB, uploaded 28 January 2011 09:38 CET]

Abstract: 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

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