Abstract
We study the phonon influence on the spin of an exciton confined in a quantum dot. A process causing the transition of an initial bright heavy hole exciton spin state to dark states is identified. For a set of parameters typical for $\mathrm{InAs}∕\mathrm{GaAs}$ self-assembled quantum dots the corresponding decay times are over two orders of magnitude faster than for the previously studied transition between bright states and are comparable to exciton lifetimes already at temperatures of several tens of Kelvins.
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