Bubbling analysis of bimeron configurations

TL;DR

This paper investigates the structure and behavior of chiral bimeron configurations in magnetic thin films, revealing their formation, scaling, and asymptotic properties using advanced mathematical methods.

Contribution

It introduces a novel analytical approach combining blow-up techniques and rigidity results to understand bimeron solitons in easy-plane magnetic systems.

Findings

Characterization of bimeron configurations and their energy concentrations.

Scaling laws and asymptotic limits for solitons in large domains.

Application of Sacks-Uhlenbeck theory to magnetic soliton analysis.

Abstract

Chiral symmetry breaking in magnetic thin films stabilizes new families of topological solitons that are absent in conventional anisotropic ferromagnets. Beyond the classical chiral skyrmion, which arises in uniaxial systems through the Dzyaloshinskii--Moriya interaction, dipolar configurations known as chiral bimerons emerge in easy--plane situations. On compact domains, these solitonic states appear as localized concentrations of energy embedded in an easy--plane background. The analysis, inspired by the Sacks--Uhlenbeck theory for approximate harmonic maps, combines blow--up methods with quantitative rigidity for the M\"obius group to describe the structure, scaling behaviour, and asymptotic limits of such magnetic solitons in both the conformal and large--domain regimes.