Superconducting hyper-honeycomb lattice

Motivated by the recent discovery of the hyper-honeycomb $\beta $-Li2IrO3 studied in the context of Kitaev spin liquids, we investigate the possibility to realize superconductivity in the hyper-honeycomb lattice. Based on a t-J model we discuss the effect of the band structure and spin-orbit coupling on the most stable superconducting state.