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Manipulation of magnetic domain walls can be used to improve the capabilitiesof the next generation of memory and sensing devices. Materials of recentinterest for such devices include heterostructures of ultrathin ferromagnetssandwiched between a heavy metal and an oxide, where spin-orbit coupling andbroken inversion symmetry give rise to the Dzyaloshinskii-Moriya interaction(DMI), stabilizing chiral domain walls. The efficiency of the motion of thesechiral domain walls may be controlled using in-plane magnetic fields. Thisproperty has been used for measurement of DMI strength. While micromagneticsimulations are able to accurately predict domain wall motion under in-planefields in these materials, collective coordinate models such as the $q-\phi$and $q-\phi-\chi$ models fail to reproduce the micromagnetic results. In thistheoretical work, we present a set of extended collective coordinate modelsincluding canting in the domains, which better reproduce micromagnetic results,and helps us better understand the effect of in-plane fields on magnetic domainwalls. These models are used in conjunction with micromagnetic simulations toidentify critical points observed in the motion of the domain walls driven byout-of-plane magnetic fields, and electric current under magnetic in-planefields. Our new models and results help in the development of future domainwall based devices based on perpendicularly magnetized materials.

journal of magnetism and magnetic materials

Collective Coordinate Descriptions of Magnetic Domain Wall Motion in  Perpendicularly Magnetized Nanostructures under the Application of In-plane  Fields