We study the spin relaxation in a single-electron bilayer graphene quantum dot due to the spin-orbit coupling. The spin relaxation is assisted by the emission of acoustic phonons via the bond-length change and deformation potential mechanisms and 1/f charge noise. In the perpendicular magnetic-field dependence of the spin relaxation rate T1−1, we predict a monotonic increase of T1−1 at higher fields where the electron-phonon coupling via the deformation potential plays a dominant role in spin relaxation. We show a less pronounced dip in T1−1 at lower magnetic fields due to the competition between the electron-phonon coupling due to bond-length change and 1/f charge noise. Finally, detailed comparisons of the magnetic-field dependence of the spin relaxation with the existing experiments by Banszerus and Gächter are reported.
Wang et al. (Thu,) studied this question.