# Analysis on the stability of in-surface magnetic configurations in toroidal nanoshells

## TL;DR

This paper investigates the stability of in-surface magnetic configurations in toroidal nanoshells, combining analytical and simulation methods to understand how geometry influences magnetic texture stability and vortex formation.

## Contribution

It provides new insights into how the aspect ratio of toroidal nanomagnets affects the stability and vortex development of in-surface magnetization configurations.

## Key findings

- Toroidal vortex-like configurations are highly stable in nanotori.
- The aspect ratio influences the development of a vortex core.
- Geometry and magnetic interactions compete to determine magnetic states.

## Abstract

Curvature of nanomagnets can be used to induce chiral textures in the magnetization field. Here we perform analytical calculations and micromagnetic simulations aiming to analyze the stability of in-surface magnetization configurations in toroidal nanomagnets. We have obtained that despite toroidal vortex-like configurations are highly stable in magnetic nanotori, the interplay between geometry and magnetic properties promotes the competition between effective interactions yielding the development of a core in a vortex state when the aspect ratio between internal and external radii of nanoturus is $\gtrsim0.75$.