Mass of a skyrmion under a driving current

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• 作者：J.C. Martinez ; ^{avecrux5@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; M.B.A. Jalil
• 关键词：Landau-Lifshitz-Gilbert equation ; Thiele equation ; Skyrmion
• 刊名：Journal of Magnetism and Magnetic Materials
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：424
• 期：Complete
• 页码：291-297
• 全文大小：647 K

文摘

We present arguments for a mass term in the Landau-Lifshitz-Gilbert equation based on the notion of mass as an inertial quantity. From trajectories of skyrmions in a confining potential and a 1-D potential we see evidence for a mass-inertia connection. We derive an expression for the effective mass for skyrmions, $1.6\epsilon \times {10}^{-23}\mathrm{<font\; color="red">k</font>g}$, where k to view the MathML source">ε$\epsilon$ accounts for the mismatch between the local magnetic moment induced on the conduction electrons and its corresponding effect on the current-driven skyrmion and varies from 10⁻² to 1.