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Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
Claas Abert1, Gino Hrkac2, Marcus Page3
1Institute of Solid State Physics, Vienna University of Technology, Austria.
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 nonmagnetic 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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