Skyrmions and Their Sizes in Helimagnets

TL;DR

This paper investigates the properties and sizes of Skyrmions in helimagnets, analyzing their behavior in different phases and the factors influencing their size, including interactions, temperature, and magnetic fields.

Contribution

It provides a detailed estimation of Skyrmion sizes across various phases and identifies the conditions for Skyrmion lattice formation near phase boundaries.

Findings

Skyrmion tail decay depends on symmetry breaking, with power-law or exponential behavior.

Skyrmion size relates to Dzyaloshinskii-Moriya interaction, thermal correlation lengths, and magnetic field.

An Abrikosov lattice of Skyrmions exists near the helimagnetic phase boundary with estimated core distances.

Abstract

Skyrmion gases and lattices in helimagnets are studied, and the size of a Skyrmion in various phases is estimated. For isolated Skyrmions, the long distance tail is related to the magnetization correlation functions and exhibits power-law decay if the phase spontaneously breaks a continuous symmetry, but decays exponentially otherwise. The size of a Skyrmion is found to depend on a number of length scales. These length scales are related to the strength of Dzyaloshinskii-Moriya (DM) interaction, the thermal correlation lengths, and the strength of the external magnetic field. An Abrikosov lattice of Skyrmions is found to exist near the helimagnetic phase boundary, and the core-to-core distance is estimated.