ABSTRACT
In this chapter, the author shows a skyrmion crystal created by the competition between the nearest-neighbor (NN) ferromagnetic interaction and the DM interaction of magnitude under an applied magnetic field. Theoretical and experimental investigations on the effect of the DM interaction in various materials have been extensively carried out in the context of weak ferromagnetism observed in perovskite compounds. However, in disordered systems such as spin glasses and in the complicated systems such as frustrated systems, the relaxation time is very long and out of the reach of simulation time. Due to the topological nature of the spin configuration, its stability against the external stimuli such as the thermal fluctuations is one of its most interesting properties. In particular, skyrmions in the 2D systems have attracted a great deal of attention due to their potential applications in the memory devices.
