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.
@article{arxiv.1808.03772,
title = {Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films},
author = {Valeriy V. Slastikov and Cyrill B. Muratov and Jonathan M. Robbins and Oleg A. Tretiakov},
journal= {arXiv preprint arXiv:1808.03772},
year = {2019}
}