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## Eﬀect of phonon induced spin- ﬂip processes on correlated quantum dot kinetics

We present a theoretical analysis of relaxation processes in a correlated quantum dot (QD) coupled to a reservoir

in the presence of electron-phonon interaction. The eﬀ ect of both electron-phonon interaction and Coulomb

correlations on system's kinetics is analyzed by means of equations of motion for generalized non-equilibrium

Green's functions. It is shown that phonon-assisted tunneling enhances the relaxation processes in a correlated

quantum dot. Moreover, electron-phonon interaction changes stationary values and typical relaxation rates of

the second-order correlation functions for localized electrons. In spite of the fact that electron-phonon interaction is spin independent, it strongly inﬂuences spin correlations in the presence of Coulomb interactions

between localized electrons. This eﬀect appears to be due to phonon-induced spin- ﬂip processes of localized

electrons