ABSTRACT
In this chapter, the author explains the effects of Dzyaloshinskii–Moriya (DM) magnetoelectric coupling between ferroelectric and magnetic layers in a superlattice formed by alternate magnetic and ferroelectric films. He uses next Monte Carlo simulations to calculate various physical quantities at finite temperatures such as the critical temperature, the layer magnetization and the layer polarization, as functions of the interface magnetoelectric DM coupling and the applied magnetic field. The stability of such configurations was provided by the “Skyrme mechanism”—the components in Lagrangians containing antisymmetric combinations of spatial derivatives of field components. Diep et al. have studied a crystal of skyrmions generated on a square lattice using a ferromagnetic exchange interaction and a Dzyaloshinskii–Moriya interaction between nearest-neighbors under an external magnetic field. The stability of skyrmions can make the memory on their basis nonvolatile, and low control currents will reduce the cost of rewriting compared to similar technologies based on domain boundaries.
