Magnetization structure of a Bloch point singularity

TL;DR

This paper analytically investigates the magnetization structure of a Bloch point singularity, a topological transition in magnetic vortex core switching, by deriving its shape considering exchange, dipole, and Landau energies.

Contribution

It provides an analytical derivation of the Bloch point shape as an extremum of free energy including exchange, dipole, and Landau terms, advancing understanding of magnetic singularities.

Findings

Derived the shape of the Bloch point as an energy extremum

Included exchange, dipole, and Landau energies in the analysis

Enhanced understanding of magnetization singularities in vortex core switching

Abstract

Switching of magnetic vortex cores involves a topological transition characterized by the presence of a magnetization singularity, a point where the magnetization vanishes (Bloch point). We analytically derive the shape of the Bloch point that is an extremum of the free energy with exchange, dipole and the Landau terms for the determination of the local value of the magnetization modulus.