# Semi-Compact Skyrmion-like Structures

## TL;DR

This paper investigates three types of localized planar structures, including topological skyrmions and non-topological configurations, focusing on their stability, energy localization, and semi-compact behavior in spin textures.

## Contribution

It introduces models that generate semi-compact skyrmion-like structures with controllable internal behavior, expanding understanding of topological and non-topological localized structures.

## Key findings

- Non-topological structures are unstable against fluctuations.
- Topological structures are stable and exhibit semi-compact behavior.
- Models allow control over the internal structure of skyrmion-like textures.

## Abstract

We study three distinct types of planar, spherically symmetric and localized structures, one of them having non-topological behavior and the two others being of topological nature. The non-topological structures have energy density localized in a compact region in the plane, but are unstable against spherically symmetric fluctuations. The topological structures are stable and behave as vortices and skyrmions at larger distances, but they engender interesting compact behavior as one approaches their inner cores. They are semi-compact skyrmion-like spin textures generated from models that allow to control the internal behavior of such topological structures.