  We study the melting of skyrmions in a two-dimensional Heisenberg chiral
magnet with bi-axial Dzyaloshinskii--Moriya interactions. These topological
excitations may form at zero temperature a triangular crystal with long-range
positional order. However, we show using large-scale Monte Carlo simulations
that at small finite temperature, the skyrmions rather form a typical
two-dimensional solid: Positional correlations decay with distance as power
laws while the orientational correlations remain finite. At higher temperature,
we observe a direct transition from this two-dimensional solid to a liquid with
short-range correlations. This differs from generic two-dimensional homogeneous
particle systems, where a hexatic phase is realized between the solid and the
liquid.
