transition in VO 2, we have investigated phonon dispersions of rutile VO 2 (R-VO 2) in the
density functional theory (DFT) and the DFT+ U (U: Coulomb correlation) band calculations.
We have found that the phonon softening instabilities occur in both cases, but the softened
phonon mode only in the DFT+ U describes properly both the MIT and the structural
transition from R-VO 2 to monoclinic VO 2 (M 1-VO 2). The present ab initio phonon …