  We demonstrate the existence and study in detail the features of chiral
bimerons which are static solutions in an easy-plane magnet with the
Dzyaloshinskii-Moriya (DM) interaction. These are skyrmionic textures with an
integer topological charge and they present essential analogies to the meron
configurations introduced in the context of quark confinement in the O(3)
nonlinear sigma-model. We employ a Moebius transformation to show that, for
weak chirality, bimeron configurations approach Belavin-Polyakov (BP) solutions
characterized by tightly bound vortex and antivortex parts of the same size.
Stronger chirality induces different vortex and antivortex sizes and also a
detachment of merons, suggesting the possibility for a topological phase
transition. Exploiting the fact that bimerons of opposite topological charges
may exist in the same material, we demonstrate numerically a mechanism to
generate meron pairs.
