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, class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S030488531631349X&_mathId=si0005.gif&_user=111111111&_pii=S030488531631349X&_rdoc=1&_issn=03048853&md5=e5ddb9d3779269dc1bb9a19944242eee">class="imgLazyJSB inlineImage" height="23" width="101" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S030488531631349X-si0005.gif">cript>the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S030488531631349X-si0005.gif">cript>class="mathContainer hidden">class="mathCode">, where class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S030488531631349X&_mathId=si0006.gif&_user=111111111&_pii=S030488531631349X&_rdoc=1&_issn=03048853&md5=2d5a0cfc2813f0a20fbac6d234d7549a" title="Click to view the MathML source">εclass="mathContainer hidden">class="mathCode"> 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.