@article{ISI:000332390000005, abstract = {We perform first-principles calculations of the quasiparticle defect states, charge transition levels, and formation energies of oxygen vacancies in rutile titanium dioxide. The calculations are done within the recently developed combined DFT + GW formalism, including the necessary electrostatic corrections for the supercells with charged defects. We find the oxygen vacancy to be a negative U defect, where U is the defect electron addition energy. For Fermi level values below similar to 2.8 eV (relative to the valence-band maximum), we find the +2 charge state of the vacancy to be the most stable, while above 2.8 eV we find that the neutral charge state is the most stable.}, article-number = {075205}, author = {Malashevich, Andrei and Jain, Manish and Louie, Steven G.}, doi = {10.1103/PhysRevB.89.075205}, eissn = {2469-9969}, issn = {2469-9950}, journal = {PHYSICAL REVIEW B}, month = {FEB 18}, number = {7}, orcid-numbers = {Jain, Manish/0000-0001-9329-6434}, researcherid-numbers = {Jain, Manish/A-8303-2010}, times-cited = {57}, title = {First-principles DFT plus GW study of oxygen vacancies in rutile TiO2}, unique-id = {ISI:000332390000005}, volume = {89}, year = {2014} }