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Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films

Valeriy V. Slastikov1, Cyrill B. Muratov2, Jonathan M. Robbins1, and Oleg A. Tretiakov3,4,5,*

  • 1School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
  • 2Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA
  • 3School of Physics, The University of New South Wales, Sydney 2052, Australia
  • 4Institute for Materials Research and Center for Science and Innovation in Spintronics, Tohoku University, Sendai 980-8577, Japan
  • 5National University of Science and Technology MISiS, Moscow 119049, Russia

  • *o.tretiakov@unsw.edu.au
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Phys. Rev. B 99, 100403(R) – Published 18 March, 2019

DOI: https://doi.org/10.1103/PhysRevB.99.100403

Abstract

We analyze the electric current and magnetic field driven domain-wall motion in perpendicularly magnetized ultrathin ferromagnetic films in the presence of interfacial Dzyaloshinskii-Moriya interaction and both out-of-plane and in-plane uniaxial anisotropies. We obtain exact analytical Walker-type solutions in the form of one-dimensional domain walls moving with constant velocity due to both spin-transfer torques and out-of-plane magnetic field. These solutions are embedded into a larger family of propagating solutions found numerically. Within the considered model, we find the dependencies of the domain-wall velocity on the material parameters and demonstrate that adding in-plane anisotropy may produce domain walls moving with velocities in excess of 500 m/s in realistic materials under moderate fields and currents.

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Phys. Rev. B 99, 100403(R)– Published 18 March, 2019
  • Received 12 August 2018
Article part of CHORUS
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