Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya Interaction

Document Type

Article

Publication Date

1-1-2017

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 of Γ -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.

Identifier

85012297167 (Scopus)

Publication Title

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

External Full Text Location

https://doi.org/10.1098/rspa.2016.0666

e-ISSN

14712946

ISSN

13645021

Issue

2197

Volume

473

Grant

1313687

Fund Ref

National Science Foundation

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