Spin response in self-assembled quantum dots beyond the g-tensor model

Self-assembled quantum dots, with both electrical tunability and optical addressability, have shown promise as a semiconductor qubit architecture. The use of hole spins as qubit basis increases lifetime for weak nuclear interactions. Furthermore, hole spins in self-assembled dot have strong spin-orbit interactions, which we seek to utilize as a control scheme. In this talk, we discuss the interplay of spin-orbit effects and higher order magnetic fields terms. The resulting effects, such as atomic-level spin texture, cannot be fully captured by existing g-tensor models. As such, we propose second order diamagnetic corrections to the linear g-tensor model. We compare the corrected model to a fully atomistic tight-binding model to show experimentally realizable regimes of said corrections. Finally, we have a brief discussion of double dot systems and alloyed systems, which exhibit a much stronger diamagnetic shift.