Influence of the Dzyaloshinskii – Moriya interaction on the properties of magnetic states in nanostructures

Dzyaloshinskii – Moriya interaction (DMI) plays an important role in the formation of chiral spin textures useful in spintronics. Interfacial DMI is of great interest, as was recently shown, it leads to the stabilization of chiral spin textures not only in ferromagnetic metals, but also in insulator systems such as rare-earth iron garnets. In this paper, we explore transformations of uniform magnetic states induced by the DMI in ferrimagnetic system of restricted geometry. We show that change of the DMI constant induces a series of phase transitions in the square magnetic nanoelement: homogeneous magnetic state – vortex – skyrmion/meron – multidomains – domain structure (K>/<0) and construct phase diagrams in terms of "DMI constant – nanoelement size". Our findings show that manifestation of DMI in a system of restricted geometry depends on the initial magnetic configuration stabilized by competition between exchange and relativistic interactions. The transformations of the "out – of - plane" and "in-plane" single-domain magnetic states induced by the DMI are considered, and their distinctive features are revealed. The influence of an electric field acting through inhomogeneous magnetoelectric interaction on localized magnetic states is discussed.