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The spin dynamics in [TbPc$_{2}$]$^{0}$ and [DyPc$_{2}$]$^{0}$ singlemolecule magnets have been investigated by means of muon and nuclearspin-lattice relaxation rate measurements. The correlation time for the spinfluctuations was found to be close to 0.1 ms already at 50 K, about two ordersof magnitude larger than the one previously found in other lanthanide basedsingle molecule magnets. In [TbPc$_{2}$]$^{0}$ two different regimes for thespin fluctuations have been evidenced: a high temperature activated oneinvolving spin fluctuations across a barrier $\Delta\simeq 880 K$ separatingthe ground and first excited states and a low temperature regime involvingquantum fluctuations within the twofold degenerate ground-state. In[DyPc$_{2}$]$^{0}$ a high temperature activated spin dynamics is also evidencedwhich, however, cannot be explained in terms of a single spin-phonon couplingconstant.

Spin dynamics in rare earth single molecule magnets from muSR and NMR in [TbPc$_{2}$]$^{0}$ and [DyPc$_{2}$]$^{0}$