Topological stripelike coreless textures with inner incommensurability in two-dimensional Heisenberg antiferromagnet

TL;DR

This paper analyzes topological stripe-like coreless excitations in a two-dimensional Heisenberg antiferromagnet, revealing their classification, similarities to superfluid vortices, and potential to explain incommensurate order phenomena.

Contribution

It provides a detailed classification of stripe textures and draws an analogy with coreless vortices in superfluid helium-3, highlighting their low-energy excitations.

Findings

Stripe textures characterized by boundary singularities.

Analogies with $^3He-A$ coreless vortices.

Possible observation as incommensurate order.

Abstract

For two-dimensional Heisenberg antiferromagnet we present an analysis of topological coreless excitations having a stripe form. These textures are characterized by singularities at boundaries. A detailed classification of the stripe textures results in a certain analogy with the coreless excitations in $^3He-A$ phase: Mermin-Ho and Anderson-Toulouse coreless vortices. The excitations of the last type may have a low bulk energy. The stripe textures may be observed as an occurrence of short-range incommensurate order in the antiferromagnetic environment.