  Quantum materials can display physical phenomena rooted in the geometry of
electronic wavefunctions. The corresponding geometric tensor is characterized
by an emergent field known as Berry curvature (BC). Large BCs typically arise
when electronic states with different spin, orbital or sublattice quantum
numbers hybridize at finite crystal momentum. In all materials known to date,
the BC is triggered by the hybridization of a single type of quantum number.
Here, we report the discovery of the first material system having both spin and
orbital-sourced BC: LaAlO$_3$/SrTiO$_3$ interfaces grown along the [111]
direction. We detect independently these two sources and directly probe the BC
associated to the spin quantum number through measurements of an anomalous
planar Hall effect. The observation of a nonlinear Hall effect with
time-reversal symmetry signals large orbital-mediated BC dipoles. The
coexistence of different forms of BC enables the combination of spintronic and
optoelectronic functionalities in a single material.
