@article{be80e33d9a11470f978403cb1270f136,
title = "Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interactions in stabilizing compact magnetic skyrmions",
abstract = "We present a theoretical study of compact magnetic skyrmions in ferromagnetic films with perpendicular magnetic anisotropy that accounts for the full stray field energy in the thin film and low interfacial Dzyaloshinskii-Moriya interaction (DMI) regime. In this regime, the skyrmion profile is close to a Belavin-Polyakov profile, which yields analytical expressions for the equilibrium skyrmion radius and energy. The obtained formulas provide a clear identification of DMI and long-range dipolar interaction as two physical mechanisms determining skyrmion size and stability.",
author = "Anne Bernand-Mantel and Muratov, {Cyrill B.} and Simon, {Thilo M.}",
note = "Funding Information: A.B.-M. wishes to acknowledge support from DARPA TEE program through Grant MIPR No. HR0011831554. The work of C.B.M. and T.M.S. was supported, in part, by NSF via Grants No. DMS-1614948 and No. DMS-1908709. C.B.M. would also like to acknowledge support by CNRS via EUR Grant NanoX No. ANR-17-EURE-0009 in the framework of the “Programme des Investissements d'Avenir” and LPCNO, INSA, Toulouse, France, for its hospitality. This work benefited from access to the HPC resources of CALMIP supercomputing center under the Allocation No. 2019-19011. The authors also acknowledge the hospitality of Erwin Schr{\"o}dinfer International Institute for Mathematics and Physics. Publisher Copyright: {\textcopyright} 2020 American Physical Society.",
year = "2020",
month = jan,
day = "14",
doi = "10.1103/PhysRevB.101.045416",
language = "English (US)",
volume = "101",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics",
number = "4",
}