Brownian motion of massive skyrmions in magnetic thin films

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 line...

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Bibliographic Details
Published in:Annals of physics 2014-12, Vol.351, p.850-856
Main Authors: Troncoso, Roberto E., Núñez, Álvaro S.
Format: Article
Language:English
Subjects:
Brownian motion
BROWNIAN MOVEMENT
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Damping
ELECTRONS
Hypothetical particles
Magnetism
MAGNETIZATION
Magnetization dynamics
Mathematical analysis
MOBILITY
Particle physics
Particle theory
SKYRME POTENTIAL
Skyrmions
SOLITONS
SPIN
Spin-transport
STOCHASTIC PROCESSES
Surface layer
TEMPERATURE DEPENDENCE
TENSORS
Texture
THIN FILMS
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Summary: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 using this ansatz it is found that the skyrmion mass tensor 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.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2014.10.007