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To understand emergent magnetic monopole dynamics in the spin icesHo$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, it is necessary to investigate themechanisms by which spins flip in these materials. Presently there are thoughtto be two processes: quantum tunneling at low and intermediate temperatures andthermally activated at high temperatures. We identify possible couplingsbetween crystal field and optical phonon excitations and construct a strictlyconstrained model of phonon-mediated spin flipping that quantitativelydescribes the high-temperature processes in both compounds, as measured byquasielastic neutron scattering. We support the model with direct experimentalevidence of the coupling between crystal field states and optical phonons inHo$_2$Ti$_2$O$_7$.

Phonon-mediated spin-flipping mechanism in the spin ices Dy$_2$Ti$_2$O$_7$ and Ho$_2$Ti$_2$O$_7$