Brownian motion of massive skyrmions in magnetic thin films

Roberto E. Troncoso, Álvaro S. Núñez

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


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.

Original languageEnglish
Pages (from-to)850-856
Number of pages7
JournalAnnals of Physics
StatePublished - 1 Dec 2014
Externally publishedYes


  • Brownian motion
  • Magnetization dynamics
  • Skyrmions
  • Spin-transport


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