Geometrically constrained walls in three dimensions

TL;DR

This paper investigates the energy scaling and asymptotic behavior of geometrically constrained magnetic domain walls in three-dimensional structures with thin necks, revealing new regimes due to removal of symmetry assumptions.

Contribution

It characterizes five distinct energy scaling regimes and uncovers novel sub-regimes in 3D magnetic walls without symmetry constraints.

Findings

Identified five key energy scaling regimes.

Characterized asymptotic behavior of domain walls.

Discovered new sub-regimes absent in previous symmetric models.

Abstract

We study geometrically constrained magnetic walls in a three dimensional geometry where two bulks are connected by a thin neck. Without imposing any symmetry assumption on the domain, we investigate the scaling of the energy as the size of the neck vanishes. We identify five significant scaling regimes, for all of which we characterise the energy scaling and identify the asymptotic behaviour of the domain wall. Finally, we notice the emergence of sub-regimes that are not present in the previous works due to restrictive symmetry assumptions.