  Stoner magnetism in bands endowed with Berry curvature is shown to be
profoundly influenced by the coupling between spin chirality density $\vec
s\cdot(\partial_x\vec s\times\partial_y\vec s)$ and Berry's orbital
magnetization. The key effect is that carriers moving in the presence of a spin
texture see it as a source of a geometric magnetic field coupled to the
carrier's orbital motion through a spin-dependent Aharonov-Bohm effect. This
emergent spin-orbit interaction effect was recently predicted to enable chiral
magnons propagating along system boundaries. Here we show that it also favors
chiral spin textures such as skyrmions -- the topologically protected objects
with particle-like properties, stabilized in the ground state. The threshold
for Stoner instability is found to soften, rendering chiral spin-ordered phases
accessible under realistic conditions. We present a detailed analysis of the
chiral effect for Bernal bilayer graphene and discuss the unique properties of
skyrmion textures in graphene multilayers.
