Brownian motion of magnetic domain walls and skyrmions, and their diffusion constants

Extended numerical simulations enable us to ascertain the diffusive behavior at finite temperatures of chiral walls and skyrmions in ultrathin model Co layers exhibiting symmetric---Heisenberg---as well as antisymmetric---Dzyaloshinskii-Moriya---exchange interactions. The Brownian motion of walls and skyrmions is shown to obey markedly different diffusion laws as a function of the damping parameter. Topology related skyrmion diffusion suppression with vanishing damping parameter, albeit already documented, is shown to be restricted to ultrasmall skyrmion sizes or, equivalently, to ultralow damping coefficients, possibly hampering observation.