Magnetic exchange interactions and the magnetic structures they induce are among the key factors determining magnetization switching. Dzyaloshinskii-Moriya interaction (DMI) is an asymmetric exchange interaction arises from spin-orbit coupling and structural inversion symmetry breaking, which is one of the key mechanisms to induce non-collinear magnetic order and chiral magnetic structures, including magnetic Skyrmion, vortex, chiral domain wall, etc. These magnetic structures enable novel information proceeding devices with ultralow power consumption. More importantly, compared to conventional collinear magnetic structures, non-collinear magnetic order exhibits richer and more novel physical behaviors. With ongoing exploration and research in magnetic materials, Rare-Earth Transition Metal ferrimagnetic materials (CoGd, CoTb, GdFeCo, etc.), which combine spin-orbit coupling of rare-earth elements with the magnetic exchange of transition metals, have been discovered to exhibit ultrafast magnetization dynamics, tunable magnetic structures and rich spin transport phenomena. These properties provide an ideal material platform for studying and manipulating DMI, demonstrating significant potential in designing future high-density magnetic storage and spintronic devices. This review systematically elucidates the microscopic physical origin of DMI, outlines the fundamental characteristics of Rare-Earth Transition Metal ferrimagnetic materials and explores the coupling mechanisms between DMI and ferrimagnetic order. we introduce the fundamental properties of RE-TM systems and their applications in spin logic devices and magnetic memory devices. We focus on discussing the physical phenomena related to DMI in RE-TM systems, including the scaling relationship of DMI in RE-TM, DMI-related spin-orbit torque effects, and the principles and applications of skyrmion-based devices, which would provide both theoretical foundations and technical guidance for future development of advanced spintronic technologies.
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