Spin liquid states for spin-1/2 antiferromagnetic Heisenberg model on a hyperkagome lattice are studied. We classify and study flux states according to symmetries. Applying this model to Na4Ir3O8, we propose that the high temperature state may be described by a spinon Fermi surface, which forms a paired state with line nodes below 20 K. The possible mixed spin singlet and spin triplet pairing states are discussed according to the lattice symmetry which breaks inversion.
@article{arxiv.0806.3323,
title = {Na4Ir3O8 as a 3D spin liquid with fermionic spinons},
author = {Yi Zhou and Patrick A. Lee and Tai-Kai Ng and Fu-Chun Zhang},
journal= {arXiv preprint arXiv:0806.3323},
year = {2009}
}