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 journalArticle (Academic Journal)peer-review

10 Citations (Scopus)
155 Downloads (Pure)


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
Article number100403
Number of pages5
JournalPhysical Review B
Issue number10
Early online date18 Mar 2019
Publication statusPublished - 18 Mar 2019


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