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We study electron-phonon interaction induced decoherence between two-electronsinglet and triplet states in a semiconductor double quantum dot using aspin-boson model. We investigate the onset and time evolution of thisdephasing, and study its dependence on quantum dot parameters such as dot sizeand double dot separations, as well as the host materials (GaAs and Si). At theshort time limit, electron-phonon interaction only causes an incomplete initialGaussian decay of the off-diagonal density matrix element in thesinglet-triplet Hilbert space. A complete long-time exponential decay due tophonon relaxation would eventually dominate over two-spin decoherence. Weanalyze two-spin decoherence in both symmetric and biased double quantum dots,identifying their difference in electron-phonon coupling and the relevantconsequences.

Two-spin dephasing by electron-phonon interaction in semiconductor double quantum dots