Interband and polaronic excitations in YTiO3 from first principles
  YTiO3, as a prototypical Mott insulator, has been the subject of numerous experimental investigations of its electronic structure. The onset of absorption in optical conductivity measurements has generally been interpreted to be due to interband transitions at the fundamental gap. Here we re-examine the electronic structure of YTiO3 using density functional theory with either a Hubbard correction (DFT+U) or a hybrid functional. Interband transitions turn out to be much higher in energy than the observed onset of optical absorption. However, in case of $p$-type doping, holes tend to become self-trapped in the form of small polarons, localized on individual Ti sites. Exciting electrons from the occupied lower Hubbard band to the small-polaron state then leads to broad infrared absorption, consistent with the onset in the experimental optical conductivity spectra. 
Burak Himmetoglu, Anderson Janotti, Lars Bjaalie, and Chris G. Van de   Walle
cond-mat.mtrl-sci cond-mat.str-el