Chiral spin textures driven by emergent spin-orbit interaction: a numerical study

We explore numerically the intricate interplay between Berry phases in both real and momentum spaces within itinerant magnets. This interplay manifests as an emergent spin-orbit coupling, where charge carriers occupying a Berry-curved band generate an orbital magnetization, inducing a pseudo-magnetic field originating in chiral spin textures. Using density-matrix-renormalization-group techniques, we demonstrate that switching on a band Berry curvature in a metallic ferromagnetic phase results in chiral magnetic textures. Furthermore, employing a two-leg strip geometry, we establish a connection between charge and spin chirality, further supporting this emergent spin-orbit interaction.