2012
DOI: 10.1103/physrevb.86.075209
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Calculation of point defects in rutile TiO2by the screened-exchange hybrid functional

Abstract: The formation energies of the oxygen vacancy and titanium interstitial in rutile TiO 2 were calculated by the screened exchange (sX) hybrid density functional method, which gives a band gap of 3.1 eV, close to the experimental value. The O vacancy gives rise to a gap state lying 0.7 eV below the conduction band edge, whose charge density is localised around the two of three Ti atoms next to the vacancy. The Ti interstitial generates four defect states in the gap, whose unpaired electrons lie on the interstitia… Show more

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Cited by 96 publications
(66 citation statements)
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“…4,5 In order to investigate the discrepancy mentioned above, various kinds of functional were tested. The functional LDA, 26,36 PBE 22,27 and sX-LDA [30][31][32][33][37][38][39][40] were used in the DFT calculation. The valence states electrons of strontium were treated as 5s 2 , 4p 6 and 3d 2 states.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…4,5 In order to investigate the discrepancy mentioned above, various kinds of functional were tested. The functional LDA, 26,36 PBE 22,27 and sX-LDA [30][31][32][33][37][38][39][40] were used in the DFT calculation. The valence states electrons of strontium were treated as 5s 2 , 4p 6 and 3d 2 states.…”
Section: Resultsmentioning
confidence: 99%
“…It, however, catches a little attention as no one has used the functional for structural phase transition prediction but for optical, 37,38 band gap, [32][33][34]38,39 band structure and electronic density of state. [32][33][34]38,40 Therefore, this work trailblazes the use of sX-LDA to find structural transition of solids which was validated by solving long-known computational experimental disagreement.…”
Section: -6mentioning
confidence: 99%
“…In order to reproduce the correct polaronic behaviors, the self-interaction of electrons must be treated properly to balance the tendency of localization versus delocalization [33][34][35][36][37][38][39][40][41][42][43][44]. Hybrid functionals [33][34][35][36][37][38][39][40] and on-site Coulomb corrections [31,32,[41][42][43][44] are two potential treatments. Using hybrid functionals, several groups of researchers have reported the co-existence of two distinct polaronic states [17,[35][36][37][38].…”
Section: Methodsmentioning
confidence: 99%
“…These results are shown in Table III. As is known for the same type of defects (V O 's) in the TiO 2 rutile, the removal of oxygen atoms from the oxide structure leaves a pair of unbound electrons [36,65]. Each of the Ti n O 2n−1 phases presents two V O 's per unit cell, therefore there are four electrons left behind.…”
Section: B Electronic and Magnetic Propertiesmentioning
confidence: 99%