2008
DOI: 10.1103/physrevb.78.012102
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First-principles study on doping and phase stability ofHfO2

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Cited by 252 publications
(168 citation statements)
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“…The formation energies of defects shown in figure 1 in the neutral charge state (q = 0) are summarized in table 3.2, along with other properties that will be discussed later. I 4 -A is the most stable configuration of tetra-interstitial clusters found in our simulations [33]. The most stable configuration found for the Si tri-interstitial cluster is not shown in figure 1 as its symmetry is not compatible with W or X PL centers, but it agrees with the most stable I 3 configuration found in previous studies [33,29].…”
Section: Defect Formation Energy and Donor Levelsupporting
confidence: 80%
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“…The formation energies of defects shown in figure 1 in the neutral charge state (q = 0) are summarized in table 3.2, along with other properties that will be discussed later. I 4 -A is the most stable configuration of tetra-interstitial clusters found in our simulations [33]. The most stable configuration found for the Si tri-interstitial cluster is not shown in figure 1 as its symmetry is not compatible with W or X PL centers, but it agrees with the most stable I 3 configuration found in previous studies [33,29].…”
Section: Defect Formation Energy and Donor Levelsupporting
confidence: 80%
“…I 4 -A is the most stable configuration of tetra-interstitial clusters found in our simulations [33]. The most stable configuration found for the Si tri-interstitial cluster is not shown in figure 1 as its symmetry is not compatible with W or X PL centers, but it agrees with the most stable I 3 configuration found in previous studies [33,29]. The formation energies of I 3 defects shown in figure. 1 relative to the most stable configuration are 1.49 eV for the I 3 -I, 0.95 eV for the I 3 -X, 0.7 eV for the I 3 -V, and 0.34 eV for the I 3 -C. We have also found that the I 3 -I has higher formation energy than the I 3 -V [16], and in fact I 3 -I was not obtained from our CMD simulations.…”
Section: Defect Formation Energy and Donor Levelsupporting
confidence: 79%
“…The structures with partial atomic occupation are excluded because of the difficulty in computational modeling. In addition to the structures that are stable at ambient conditions, we consider structures that are characterized under high-temperature or high-pressure conditions, provided that they are theoretically stable at zero temperature and pressure conditions, because the metastable structures can exist at ambient conditions through doping 11 or in nanocrystalline states. 12 The atomic positions and lattice parameters are then relaxed, and the theoretical equilibrium structures are obtained.…”
Section: Methodsmentioning
confidence: 99%
“…Similar to other EC studies involving the transition metals Cu 27-29 and Ag 30 , it was suggested that the observed sites, in particular near-S sites, could be related not only to Fe interacting with single vacancies but also to vacancy clusters, such as divacancies 31 , where the TM prefers to sit between the two vacancies (bondcentered sites). Furthermore, ab initio calculations have recently confirmed the stability of fourfold vacancy clusters based on hexavacancy rings 32,33 . It was theoretically predicted that interstitial Cu atoms can be trapped inside such vacancy clusters and their positions seem to be close to a displaced bond-centered site in an undisturbed crystal 34,35 .…”
Section: Introductionmentioning
confidence: 99%