One-dimensional Neel walls under applied external fields

Abstract

We present a detailed analysis of one-dimensional Néel walls in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to the easy axis. Within the reduced one-dimensional thin film model, we formulate a non-local variational problem whose minimizers are given by one-dimensional Néel wall profiles. We prove existence, uniqueness (up to translations and reflections), regularity, strict monotonicity and the precise asymptotics of the decay of the minimizers in the considered variational problem.

References in corpus (2)

• Magnetic domain walls in constrained geometries
• Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source

Cited by in corpus (6)

• Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction
• Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy
• Uniqueness of one-dimensional Néel wall profiles
• One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films
• Separation of domain walls with nonlocal interaction and their renormalised energy by $\Gamma$-convergence in thin ferromagnetic films
• Transverse domain walls in thin ferromagnetic strips