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We have theoretically studied phonon-mediated spin-flip processes ofelectrons in a GaAs double quantum dot (DQD) holding two spins, under a phonontemperature gradient over the DQD. Transition rates of inter-dotphonon-assisted tunnel processes and intra-dot spin-flip processes involvingspin triplet states are formalized by the electron-phonon interactionaccompanied with the spin-orbit interaction. The calculations of the spin-fliprates and the occupation probabilities of the spin-states in the two-electronDQD with respect to the phonon temperature difference between the dots arequantitatively consistent with our previous experiment. This theoretical studyon the temperature gradient effect onto spins in coupled QDs would be essentialfor understanding spin-related thermodynamic physics.

Phonon-mediated spin dynamics in a two-electron double quantum dot under a phonon temperature gradient