Abstract While the ground state of magnetic materials is in general well described on basis spin density functional theory (SDFT), theoretical description finite-temperature and non-equilibrium properties require an extension beyond standard SDFT. Time-dependent SDFT (TD-SDFT), which give for example access to dynamical are computationally very demanding can currently be hardly applied complex ...

Magnetic textures are often treated as quasiparticles following Thiele’s equation of motion. We demonstrate via spin model simulations the current-driven and Brownian motion ferromagnetic skyrmions that existing theory based on is insufficient to describe dynamics at finite temperatures. propose an extended goes beyond by taking into account coupling skyrmion magnonic heat bath leading addition...

We consider magnetization dynamics under the influence of a spin-polarized current, given in terms of a spin-velocity field v, governed by the following modification of the Landau– Lifshitz–Gilbert equation ∂m ∂t + v · ∇m = m × (α ∂m ∂t + β v · ∇m − Δm), called the Landau– Lifshitz–Slonczewski equation. We focus on the situation of magnetizations defined on the entire Euclidean space m(t) : R3 ...

A second order accurate numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in ferromagnetic materials, with large damping parameters. The main advantages of this method are associated following features: (1) It only solves linear systems equations coefficient matrices independent magnetization, fast solvers available, so th...

We present a semi-implicit numerical method for micromagnetics simulations, in the presence of spin-currents. The dynamics of the magnetization are described by the Landau–Lifshitz–Gilbert equation, while the dynamics of the spin are described by a diffusion equation with discontinuous coefficients. The complexity of the method presented is comparable to that of solving the linear heat equation...