title: Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction.
abstract: Recent advances in nanofabrication make it possible to produce multilayer nanostructures composed of ultrathin film materials with thickness down to a few monolayers of atoms and lateral extent of several tens of nanometers. At these scales, ferromagnetic materials begin to exhibit unusual properties, such as perpendicular magnetocrystalline anisotropy and antisymmetric exchange, also referred to as Dzyaloshinskii-Moriya interaction (DMI), because of the increased importance of interfacial effects. The presence of surface DMI has been demonstrated to fundamentally alter the structure of domain walls. Here we use the micromagnetic modelling framework to analyse the existence and structure of chiral domain walls, viewed as minimizers of a suitable micromagnetic energy functional. We explicitly construct the minimizers in the one-dimensional setting, both for the interior and edge walls, for a broad range of parameters. We then use the methods ofΓ-convergence to analyse the asymptotics of the two-dimensional magnetization patterns in samples of large spatial extent in the presence of weak applied magnetic fields.
authors.affiliation: Department of Mathematical Sciences , New Jersey Institute of Technology , Newark, NJ 07102, USA.
authors.forename: Cyrill B
authors.identifier: 0000-0002-3337-6165
authors.initials: CB
authors.lastname: Muratov
authors.affiliation: School of Mathematics , University of Bristol , Bristol BS8 1TW, UK.
authors.forename: Valeriy V
authors.initials: VV
authors.lastname: Slastikov
keywords: Dzyaloshinskii–Moria interaction; chiral domain walls; gradient theory of phase transitions; magnetic skyrmions; micromagnetics; Γ-convergence