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

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.

23 pages, 1 figure

References in corpus (6)

• Spin Transfer Torques
• Current-driven vortex oscillations in metallic nanocontacts
• Magnetoresistance and spin-transfer torque in magnetic tunnel junctions
• ZZ-type aposteriori error estimators for adaptive boundary element methods on a curve
• On a decoupled linear FEM integrator for Eddy-current-LLG
• L2-orthogonal projections onto finite elements on locally refined meshes are H1-stable

Cited by in corpus (11)

• Micromagnetics and spintronics: Models and numerical methods
• Second-order semi-implicit projection methods for micromagnetics simulations
• Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation
• Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
• Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
• Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
• Computational micromagnetics with Commics
• Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics
• The Landau--Lifshitz--Bloch equation with spin diffusion: Global strong solution and finite element approximation
• Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques
• The Eddy Current-LLG Equations-Part I: FEM-BEM Coupling