Brownian motion of massive skyrmions forced by spin polarized currents

Abstract

We report on the thermal effects on the motion of current-driven massive magnetic skyrmions. The reduced equation for the motion of skyrmion has the form of a stochastic generalized Thiele's equation. We propose an ansatz for the magnetization texture of a non-rigid single skyrmion that depends linearly with the velocity. By utilizing this ansatz it is is found that the mass of skyrmion is closely related to intrinsic skyrmion parameters, such as Gilbert damping, skyrmion-charge and dissipative force. We have found an exact expression for the average drift velocity as well as the mean-square velocity of the skyrmion. The longitudinal and transverse mobility of skyrmions for small spin-velocity of electrons is also determined and found to be independent of the skyrmion mass.

References in corpus (4)

• Theory of current-driven motion of Skyrmions and spirals in helical magnets
• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• Inertia and chiral edge modes of a skyrmion magnetic bubble
• Thermally-Assisted Current-Driven Domain Wall Motion

Cited by in corpus (9)

• Fast current-induced skyrmion motion in synthetic antiferromagnets
• Typical skyrmions versus bimerons: a long-distance competition in ferromagnetic racetracks
• Oscillatory force autocorrelations in equilibrium odd-diffusive systems
• Chiral Skyrmions Interacting with Chiral Flowers
• The Dance of Odd-Diffusive Particles: A Fourier Approach
• Reversal of tracer advection and Hall drift in an interacting chiral fluid
• Static and Dynamics of Twisted Skyrmion Tubes in Frustrated Magnets
• Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira
• Nonhermitian adiabatic perturbation theory of topological quantization of the average velocity of a magnetic skyrmion under thermal fluctuations