A fundamental property of particles and antiparticles (such as electrons and positrons,
respectively) is their ability to annihilate one another. A similar behaviour is predicted for …

We present a novel approach to understanding the extraordinary diversity of magnetic
skyrmion solutions. Our approach combines an original classification scheme with efficient …

A bstract Chiral magnets with the Dzyaloshinskii-Moriya (DM) interaction have received
quite an intensive focus in condensed matter physics because of the presence of a chiral …

Domain-wall skyrmions are skyrmions trapped inside a domain wall. We investigate domain-
wall skyrmions in chiral magnets using a fully analytic approach. Treating the Dzyaloshinskii …

A simple mathematical expression based on rational maps to describe all optical paraxial
skyrmion known to date, including Néel‐type and Bloch‐type skyrmions, bimerons, and anti …

The quantum skyrmionic phase is modeled in a two-dimensional helical spin lattice. This
topological skyrmionic phase retains its nature in a large parameter space before moving to …

We clarify relations among topological solitons in various dimensions: a domain wall, non-
Abelian vortex, magnetic monopole, and Yang-Mills instanton, together with a (non-Abelian) …

We construct domain-wall skyrmion chains and domain-wall bimerons in chiral magnets with
an out-of-plane easy-axis anisotropy and without a Zeeman term coupling to a magnetic …

A bstract We find a family of (half) self-dual impurity models such that the self-dual (BPS)
sector is exactly solvable, for any spatial distribution of the impurity, both in the topologically …

We study two dimensional soliton solutions in the CP 2 nonlinear sigma model with a
Dzyaloshinskii-Moriya type interaction. First, we derive such a model as a continuous limit of …