%0 Journal Article %T Formation of the density wave energy gap in Na$_2$Ti$_2$Sb$_2$O: an optical spectroscopy study %A Y. Huang %A H. P. Wang %A W. D. Wang %A Y. G. Shi %A N. L. Wang %J Physics %D 2013 %I arXiv %R 10.1016/j.jallcom.2013.02.155 %X We performed optical spectroscopy measurement on single crystals of Na$_2$Ti$_2$Sb$_2$O, which is the parent compound for the newly discovered Ti-based superconductors. The study reveals significant spectral change across the phase transition at 114 K and formation of a density-wave type energy gap. The opening of the gap removes most part of the free carrier spectral weight and causes a dramatic reduction of the carrier scattering rate. The ratio of 2$\Delta/k_BT_s\approx$14 is considerably larger than the mean-field value based on the weak-coupling BCS theory. The study also reveals a weak correlation effect in the titanium oxypnictides. %U http://arxiv.org/abs/1301.1216v1