We investigate how the voltage control of the exciton lateral dipole moment induces a transition from singly to doubly connected topology in type II InAs/GaAsSb quantum dots. The latter causes visible Aharonov-Bohm oscillations and a change of the exciton g-factor which are modulated by the applied bias. The results are explained in the frame of realistic $mathbf{k}cdotmathbf{p}$ and effective Hamiltonian models and could open a venue for new spin quantum memories beyond the InAs/GaAs realm.
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