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4 September 2008 Diffusive spin-transfer: a stochastic derivation of the critical current
J.-E. Wegrowe, H.-J. Drouhin
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Proceedings Volume 7036, Spintronics; 703609 (2008) https://doi.org/10.1117/12.797263
Event: NanoScience + Engineering, 2008, San Diego, California, United States
Abstract
The aim of this paper is to demonstrate the relevance of the a non-equilibrium stochastic approach in the context of spin-transfer mechanism. Spin-transfer is the generic name for the effect of magnetization reversal (or magnetic excitation) produced by the injection of a spin-polarized current in a ferromagnetic layer. Deterministic vs. stochastic approaches are first defined in the context of the Landau-Lifshitz Gilbert equation of the magnetization. We then present a model based on non-equilibrium thermodynamics in which the spin-accumulation at the interface appears as a diffusion term in the Landau-Lifshitz equation. The expression of the critical current Ic is derived from this diffusive process and compared to the experimental results. Due to the definition of the critical current in terms of activation process, the phenomenological expression of Ic is identical to that derived in the deterministic case, after introducing an "efficiency parameter". Only the specific form of this efficiency parameter allows one to discriminate between the different models. The direct link to the integral of the magnetoresistance of the junction derived here allows some highly specific behaviour to be predicted.
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J.-E. Wegrowe and H.-J. Drouhin "Diffusive spin-transfer: a stochastic derivation of the critical current", Proc. SPIE 7036, Spintronics, 703609 (4 September 2008); https://doi.org/10.1117/12.797263
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KEYWORDS
Stochastic processes
Diffusion
Ferromagnetics
Magnetism
Spintronics
Thermodynamics
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