  We study formation of a periodical structure of quasiparticle-like magnetic
configurations with non-trivial topological charge, known as a magnetic
skyrmion phase, on a frustrated triangular lattice antiferromagnetic Heisenberg
model with Dzyaloshinskii-Moriya interaction (DMI) by means of Monte Carlo
simulations. The existence of such a phase, formed on the three
interpenetrating sublattices, has been demonstrated for a sufficiently large
strength of DMI. The goal of the present investigation is to establish the
minimum values of both the DM interaction strength as well as the magnetic
field intensity at which such a skyrmion phase can exist at very low
temperatures (close to zero). We find that the skyrmion phase emerges above the
DMI parameter value of $D = 0.2$ and persists within the field intensity $2
\lesssim h < 4.5$.
