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Comparison of screened hybrid density functional theory to diffusion Monte Carlo in calculations of total energies of silicon phases and defects

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TLDR
In this paper, nearly quantitative agreement between density functional theory DFT and diffusion Monte Carlo DMC calculations is shown for the prediction of defect properties using the Heyd-Scuseria-Ernzerhof HSE screened-exchange hybrid functional.
Abstract
Nearly quantitative agreement between density functional theory DFT and diffusion Monte Carlo DMC calculations is shown for the prediction of defect properties using the Heyd-Scuseria-Ernzerhof HSE screened-exchange hybrid functional. The HSE functional enables accurate computations on complex systems, such as defects, where traditional DFT may be inadequate and DMC calculation computationally unfeasible. The screened-exchange hybrid functional retains the benefits of earlier hybrid functionals in terms of treating strongly correlated insulators but unlike them it can be applied to metallic phases. This study concentrates on the DFT energetic predictions of point defects in silicon and on phase energy differences between the diamond and metallic -tin phases.

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First-principles calculations for point defects in solids

TL;DR: The theoretical modeling of point defects in crystalline materials by means of electronic-structure calculations, with an emphasis on approaches based on density functional theory (DFT), is reviewed in this paper.
Journal ArticleDOI

Orbital-dependent density functionals: Theory and applications

TL;DR: In this article, the authors provide a perspective on the use of orbital-dependent functionals, which is currently considered one of the most promising avenues in modern density-functional theory.
Journal ArticleDOI

Accurate first-principles structures and energies of diversely bonded systems from an efficient density functional

TL;DR: It is shown that the recently developed non-empirical strongly constrained and appropriately normed SCAN meta-generalized gradient approximation (meta-GGA) within the density functional theory framework predicts accurate geometries and energies of diversely bonded molecules and materials.
Journal ArticleDOI

Catalysis by doped oxides.

TL;DR: The article discusses oxidation catalysis by substitutional cation doping of binary oxides by assuming that the 'as-prepared' catalyst is a doped oxide that, under reducing reaction conditions, is converted to very small metallic dopant clusters supported on the host oxide.
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Screened hybrid density functionals for solid-state chemistry and physics.

TL;DR: This article provides an overview of the Heyd-Scuseria-Ernzerhof screened hybrid functional, its applications to the chemistry and physics of solids and surfaces, and its efforts to build upon its successes.
References
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Journal ArticleDOI

Generalized Gradient Approximation Made Simple

TL;DR: A simple derivation of a simple GGA is presented, in which all parameters (other than those in LSD) are fundamental constants, and only general features of the detailed construction underlying the Perdew-Wang 1991 (PW91) GGA are invoked.
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Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set.

TL;DR: An efficient scheme for calculating the Kohn-Sham ground state of metallic systems using pseudopotentials and a plane-wave basis set is presented and the application of Pulay's DIIS method to the iterative diagonalization of large matrices will be discussed.
Journal ArticleDOI

Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set

TL;DR: A detailed description and comparison of algorithms for performing ab-initio quantum-mechanical calculations using pseudopotentials and a plane-wave basis set is presented in this article. But this is not a comparison of our algorithm with the one presented in this paper.
Journal ArticleDOI

Ab initio molecular dynamics for liquid metals.

TL;DR: In this paper, the authors present an ab initio quantum-mechanical molecular-dynamics calculations based on the calculation of the electronic ground state and of the Hellmann-Feynman forces in the local density approximation.
Journal ArticleDOI

Accurate and simple analytic representation of the electron-gas correlation energy

TL;DR: A simple analytic representation of the correlation energy for a uniform electron gas, as a function of density parameter and relative spin polarization \ensuremath{\zeta}, which confirms the practical accuracy of the VWN and PZ representations and eliminates some minor problems.
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