  Motivated by the importance of antiferromagnetic skyrmions as building blocks
of next-generation data storage and processing devices, we report theoretical
and computational analysis of a model for a spin-orbit coupled correlated
magnet on a triangular lattice. We find that two distinct antiferromagnetic
skyrmion crystal (AF-SkX) states can be stabilized at low temperatures in the
presence of external magnetic field. The results are obtained via Monte Carlo
simulations on an effective magnetic model derived from the microscopic
electronic Hamiltonian consisting of Rashba spin-orbit coupling, as well as the
Hund's rule coupling of electrons to large classical spins. The two AF-SkX
phases are understood to originate from a classical spin liquid state that
exists at low but finite temperatures. These AF-SkX states can be easily
distinguished from each other in experiments as they are characterized by peaks
at distinct momenta in the spin structure factor which is directly measured in
neutron scattering experiments. We also discuss examples of materials where the
model as well as the two AF-SkX states can be realized.
