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The optical spectroscopy of a single InAs quantum dot doped with a single Mnatom is studied using a model Hamiltonian that includes the exchangeinteractions between the spins of the quantum dot electron-hole pair, the Mnatom and the acceptor hole. Our model permits to link the photoluminescencespectra to the Mn spin states after photon emission. We focus on the relationbetween the charge state of the Mn, $A^0$ or $A^-$, and the different spectrawhich result through either band-to-band or band-to-acceptor transitions. Weconsider both neutral and negatively charged dots. Our model is able to accountfor recent experimental results on single Mn doped InAs PL spectra and can beused to account for future experiments in GaAs quantum dots. Similarities anddifferences with the case of single Mn doped CdTe quantum dots are discussed.

Single exciton spectroscopy of single-Mn doped InAs quantum dots