Effect of anisotropy and dipole interaction on long-range order magnetic structures generated by Dzyaloshinskii-Moriya interaction

► Magnetic skyrmion lattice structure is formed by Dzyaloshinskii-Moriya interaction. ► Properties of skyrmion lattice under uniaxial anisotropy are investigated. ► Modifications on the skyrmion lattice by magnetic dipole interaction are investigated. ► Phase map of the skyrmion lattice structure is obtained by Monte-Carlo simulated annealing. ► We found the equations for phase boundaries of skyrmion lattices.