Electrically tunable exciton topology and $g$-factor in type-II InAs/GaAsSb quantum dots

InAs/GaAs quantum dots covered by a GaAsSb overlayer exhibit a type-II band alignment for Sb $\gt16$%. The electron is confined inside of the nanostructure while the hole localizes in the overlayer. Voltage control of the localization of the hole is achieved by embedding the nanostructures in a field-effect device. The hole topology can be modified from dot-like to ring-like by the external voltage. The impact on the optical properties of this transition is explored experimentally by ensemble magneto-photoluminescence in Faraday configuration. The dependence of the integrated intensity and degree of optical polarization on the gate voltage and magnetic field are interpreted as Aharonov-Bohm oscillations. This conclusion is further supported by a $\mathbf{k}\cdot\mathbf{p}$ theoretical model showing crossings between exciton states of different total angular momentum.