najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2020-11-4-401-407najo-408Research ArticlePHYSICSФИЗИКАDemagnetizing fields in chiral magnetic structuresMoskalenkoM. A.

197101 St. Petersburg

107 Reykjavk, Iceland

moskalenko.mary@gmail.comLobanovI. S.

197101 St. Petersburg

St. Petersburg 198504

lobanov.igor@gmail.comUzdinV. M.

197101 St. Petersburg

St. Petersburg 198504

v_uzdin@mail.ruITMO University; Science Institute, University of IcelandRussian FederationITMO University; Department of Physics, St. Petersburg State UniversityRussian Federation202029072025114401–407Copyright © Moskalenko M.A., Lobanov I.S., Uzdin V.M., 20252025Moskalenko M.A., Lobanov I.S., Uzdin V.M.Moskalenko M.A., Lobanov I.S., Uzdin V.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/408

A method for calculating the magnetic dipole-dipole interaction in topological magnetic systems has been developed. It can be used to calculate stable states and minimum energy paths that determine the magnetic transition in chiral magnetic structures. Instead of directly summing the dipole interactions between magnetic moments/magnetic elements, we solve a local equation for demagnetizing fields. The states corresponding to the local energy minimum can be found using the Lagrange method for the conditional extrema. The efficiency of the algorithm has been demonstrated by calculating the dependence of the size and shape of magnetic skyrmions and anti-skyrmions on the magnitude of magnetization.

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The authors declare that there are no conflicts of interest present.