Spin relaxation in clock transition in a Lu(II) molecular spin qubit due to phonon

We compute the electron spin decoherence and relaxation times T1 and T2 due to spin-phonon coupling at spin clock-transitions in magnetic molecule crystals. The spin Hamiltonian is coupled to phonon motion through the dependences of the Lande tensor, hyperfine interaction tensor and crystal field tensor on atomic displacement. We then solve the Redfield equation of motion for the reduced density matrix, which yields T1 and T2 from the time correlation function(Ref[1]). The calculations are carried out for a Lu(II) molecular spin qubit at the spin clock-transition.