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Pinning Effect on Current-Induced Domain Wall Motion in Nanostrip

Part of: Equations of mathematical physics and other areas of application Miscellaneous topics - Partial differential equations Partial differential equations on manifolds; differential operators

Published online by Cambridge University Press:  31 January 2018

Lei Yang
Lei Yang*
Affiliation:
Faculty of Information and Technology, Macau University of Science and Technology, Macao SAR
*
*Corresponding author. Email address:leiyang@must.edu.mo (L. Yang)
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Abstract

Pinning effect on current-induced magnetic transverse domain wall dynamics in nanostrip is studied for its potential application to new magnetic memory devices. In this study, we carry out a series of calculations by solving generalized Landau-Lifshitz equation involving a current spin transfer torque in one and two dimensional models. The critical current for the transverse wall depinning in nanostrip depends on the size of artificial rectangular defects on the edges of nanostrip. We show that there is intrinsic pinning potential for a defect such that the transverse wall oscillates damply around the pinning site with an intrinsic frequency if the applied current is below critical value. The amplification of the transverse wall oscillation for both displacement and maximum value of m3 is significant by applying AC current and current pulses with appropriate frequency. We show that for given pinning potential, the oscillation amplitude as a function of the frequency of the AC current behaves like a Gaussian distribution in our numerical study, which is helpful to reduce strength of current to drive the transverse wall motion.

Keywords

Spin currentdomain wall motionLandau-Lifshitz equation

MSC classification

Secondary: 35R05: Partial differential equations with discontinuous coefficients or data 58J35: Heat and other parabolic equation methods 35Q60: PDEs in connection with optics and electromagnetic theory
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 7 , Issue 4 , November 2017 , pp. 837 - 851
Copyright
Copyright © Global-Science Press 2017 

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