Orbital angular momentum driven anomalous Hall effect

Orbital angular momentum (OAM) plays a central role in regulating the magnetic state of electrons nonperiodic systems such as atoms and molecules. In solids, on other hand, OAM is usually quenched by crystal field, thus has negligible effect magnetization. Accordingly, it generally neglected discussions around band topology Berry curvature intrinsic anomalous Hall (AHE). Here, we present theoretical framework demonstrating that crystalline can be directionally unquenched transition metal oxides via energetic proximity conducting $d$ to local moments. We show this leads ``composite'' Fermi pockets with topologically nontrivial textures. This enables giant resultant nonmonotonic AHE, even collinearly ordered spin states. use model explain origin AHE observed forced ferromagnetic ${\mathrm{EuTiO}}_{3}$ propose general scheme for driven AHE.