Quantum oscillations in a minimal model for pyrochlore iridates

Motivated by recent experiments on Pr$_2$Ir$_2$O$_7$, we provide a theory of quantum oscillations in a minimal model for pyrochlore iridates. Focusing on the conduction electron degrees of freedom with strong spin-orbit coupling and considering the electronic structure near the Fermi level, we compute quantum oscillation signals in the paramagnetic state of the model. We compare our theoretical results with existing experimental data on Pr$_2$Ir$_2$O$_7$ and discuss implication to future experiments.