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Exciton spin decay is studied in a self-assembled InAs/GaAs quantum dot. The spin relaxation results front an interplay of two factors: the Bir-Pikus Hamiltonian and the short-range exchange interaction, leading to one and two phonon assisted transitions. We establish a hierarchy between the resulting transition rates and show the dominating role of transverse phonons for all the transitions.

One and Two Phonon Assisted Transitions between Exciton Spin States in a Quantum Dot