Dzyaloshinskii-Moriya spin textures: From tilted domain walls to skyrmions and antiskyrmions

Condensed-matter systems with Dzyaloshinskii-Moriya interaction offer exciting opportunities to form various spin textures, such as tilted domain walls, skyrmions and antiskyrmions. I will talk about these magnetic textures, the conditions when they can be formed, their internal structure, and dynamics due to spin-orbit torques. I will start with ferromagnetic systems and discuss how surface curvature and disorder may affect these textures and their dynamics. Then I will move on to antiferromagnets where I will discuss the stability and peculiar dynamics of skyrmions showing no skyrmion Hall effect.