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arXiv · 1402.0983

Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator

Claas Abert·Gino Hrkac·Marcus Page·Dirk Praetorius·Michele Ruggeri·Dieter Suess
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Abstract

We propose and analyze a decoupled time-marching scheme for the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This model describes the interplay of magnetization and electron spin accumulation in magnetic and non-magnetic multilayer structures. Despite the strong nonlinearity of the overall PDE system, the proposed integrator requires only the solution of two linear systems per time-step. Unconditional convergence of the integrator towards weak solutions is proved.

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Claas Abert, Gino Hrkac, Marcus Page, Dirk Praetorius, Michele Ruggeri, Dieter Suess. 2014-02-05. Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator. https://doi.org/10.1016/j.camwa.2014.07.010

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