Hysteresis of Magnetization and Electric Polarization in Magnetic Nanostructures with Dzyaloshinskii–Moriya Interaction

The influence of the Dzyaloshinskii–Moriya interaction (DMI) on the formation of polar structures in nanoscale magnetoelectric films has been studied. The sequence of micromagnetic structures of different topology at magnetization and remagnetization of a film of limited size in a magnetic field oriented along the normal to the film surface is investigated. It is shown that the formation of polar structures is related to the existence of magnetic structures. Specific features of polar states in dependence of the DMI type and the interface symmetry is analyzed.