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Density functional theory (DFT) and DFT corrected for on-site Coulomb interactions (DFT+U) calculations are presented on Aluminium doping in bulk TiO$_2$ and the anatase (101) surface. Particular attention is paid to the mobility of oxygen…

Materials Science · Physics 2014-03-24 Conn O'Rourke , David R. Bowler

The formation energies of the oxygen vacancy and titanium interstitial in rutile TiO2 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…

Atomic and Molecular Clusters · Physics 2015-06-05 Hsin-Yi Lee , Stewart J. Clark , John Robertson

The annealing kinetics of mobile intrinsic defects is investigated by an ab initio method based on density functional theory. The interstitial-vacancy recombination, the diffusion of vacancies and interstitials to defect sinks (e.g.…

Materials Science · Physics 2007-05-23 Michel Bockstedte , Alexander Mattausch , Oleg Pankratov

Electron transfer with changing occupation in the 4f subshell poses a considerable challenge for quantitative predictions in quantum chemistry. Using the example of cerium oxide, we identify the main deficiencies of common…

Chemical Physics · Physics 2021-12-07 Tobias Schäfer , Nathan Daelman , Núria López

The low symmetry of monoclinic $\beta$-Ga$_2$O$_3$ leads to elaborate intrinsic defects, such as Ga vacancies split amongst multiple lattice sites. These defects contribute to fast, anisotropic Ga diffusion, yet their complexity makes it…

Materials Science · Physics 2024-02-15 Channyung Lee , Michael A. Scarpulla , Elif Ertekin

We consider a drift-diffusion process with a time-independent and divergence-free random drift that is of white-noise character. We are interested in the critical case of two space dimensions, where one has to impose a small-scale cut-off…

Probability · Mathematics 2025-11-26 Felix Otto , Christian Wagner

Transport phenomena are studied for a binary (AB) alloy on a rigid square lattice with nearest-neighbor attraction between unlike particles, assuming a small concentration $c_v$ of vacancies $V$ being present, to which $A(B)$ particles can…

Statistical Mechanics · Physics 2007-05-23 A. De Virgiliis , K. Binder

Semiconducting oxides possess a variety of intriguing electronic, optical, and magnetic properties, and native defects play a crucial role in these systems. In this study, we study the influence of native defects on these properties of…

Materials Science · Physics 2023-06-12 Poonam Sharma , Vikash Mishra , Alok Shukla

The light elemental solutes B, C, N, and O can penetrate the surface of Mg alloys and diffuse during heat treatment or high temperature application, forming undesirable compounds. We investigate the diffusion of these solutes by determining…

Materials Science · Physics 2016-08-15 Ravi Agarwal , Dallas R. Trinkle

Impurity diffusion coefficients are entirely obtained from a low cost classical molecular statics technique (CMST). In particular, we show how the CMST is appropriate in order to describe the impurity diffusion behavior mediated by a…

Materials Science · Physics 2013-11-06 Viviana P. Ramunni

We investigate the behavior of a patchy particle model close to a hard-wall via Monte Carlo simulation and density functional theory (DFT). Two DFT approaches, based on the homogeneous and inhomogeneous versions of Wertheim's first order…

We revisited ab initio evaluations of the energy barriers along the possible diffusion paths of the defects in rutile TiO$_2$. By using a method carefully considering the cancellation of the self-interaction, Ti interstitials hopping along…

Materials Science · Physics 2019-12-11 Tom Ichibha , Anouar Benali , Kenta Hongo , Ryo Maezono

Using density-functional-theory (DFT) calculations with the HSE06 hybrid functional, we accurately evaluate the critical thickness of LaAlO3 film for the intrinsic doping in LaAlO3/SrTiO3 (LAO/STO) heterstructures. The calculated critical…

Materials Science · Physics 2018-04-13 Yun Li , Xinyuan Wei , Jaejun Yu

The stationary functional of the all-electron density functional plus dynamical mean field theory (DFT+DMFT) formalism to perform free energy calculations and structural relaxations is implemented for the first time. Here, the first order…

Strongly Correlated Electrons · Physics 2015-12-23 Kristjan Haule , Turan Birol

Interstitials and vacancies in the Abrikosov phase of clean Type II superconductors are line imperfections, which cannot extend across macroscopic equilibrated samples at low temperatures. We argue that the entropy associated with line…

Condensed Matter · Physics 2009-10-22 Erwin Frey , David R. Nelson , Daniel S. Fisher

The density functional theory (DFT) is the most versatile electronic structure method used in quantum chemical calculations, and is increasingly applied in astrochemical research. This mini-review provides an overview of the applications of…

Astrophysics of Galaxies · Physics 2023-10-24 Qingli Liao , Junzhi Wang , Peng Xie , Enwei Liang , Zhao Wang

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

Physics Education · Physics 2010-12-07 Nathan Argaman , Guy Makov

The structure and stability of small hydrogen clusters adsorbed on graphene is studied by means of Density Functional Theory (DFT) calculations. Clusters containing up to six H atoms are investigated systematically -- the clusters having…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Zeljko Sljivancanin , Mie Andersen , Liv Hornekaer , Bjork Hammer

Cerium oxide (ceria, CeO2) is one of the most promising mixed ionic and electronic conducting materials. Previous atomistic analysis has covered widely the effects of substitution on oxygen vacancy migration. However, an in-depth analysis…

Materials Science · Physics 2021-02-12 Haiwu Zhang , Ivano E. Castelli , Simone Santucci , Simone Sanna , Nini Pryds , Vincenzo Esposito

Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not…

Nuclear Theory · Physics 2025-06-06 Udita Shukla , Pok Man Lo
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