@article{30e60b653f734f8488eb9fc07310faa1,
title = "Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films",
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.",
author = "Slastikov, {Valeriy V.} and Muratov, {Cyrill B.} and Robbins, {Jonathan M.} and Tretiakov, {Oleg A.}",
note = "Funding Information: O.A.T. acknowledges support by the Grants-in-Aid for Scientific Research (Grants No. 17K05511 and No. 17H05173) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan, MaHoJeRo grant (DAAD Spintronics network, Project No. 57334897), by the grant of the Center for Science and Innovation in Spintronics (Core Research Cluster), Tohoku University, and by JSPS and RFBR under the Japan-Russian Research Cooperative Program. C.B.M. was supported by NSF via Grant No. DMS-1614948. V.V.S. and J.M.R. would like to acknowledge support from Leverhulme Trust Grant No. RPG-2014-226. Funding Information: Acknowledgments. O.A.T. acknowledges support by the Grants-in-Aid for Scientific Research (Grants No. 17K05511 and No. 17H05173) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan, MaHoJeRo grant (DAAD Spintronics network, Project No. 57334897), by the grant of the Center for Science and Innovation in Spintronics (Core Research Cluster), Tohoku University, and by JSPS and RFBR under the Japan-Russian Research Cooperative Program. C.B.M. was supported by NSF via Grant No. DMS-1614948. V.V.S. and J.M.R. would like to acknowledge support from Leverhulme Trust Grant No. RPG-2014-226. Publisher Copyright: {\textcopyright} 2019 American Physical Society.",
year = "2019",
month = mar,
day = "18",
doi = "10.1103/PhysRevB.99.100403",
language = "English (US)",
volume = "99",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics",
number = "10",
}