Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films

Valeriy V. Slastikov, Cyrill B. Muratov, Jonathan M. Robbins, Oleg A. Tretiakov

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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.

Original languageEnglish (US)
Article number100403
JournalPhysical Review B
Issue number10
StatePublished - Mar 18 2019

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films'. Together they form a unique fingerprint.

Cite this