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We report an efficient technique to treat density functionals of the meta-generalized gradient approximation (mGGA) class in conjunction with density fitting of Coulomb terms (DF-J) and exchange-correlation terms (DF-X). While the kinetic…

Chemical Physics · Physics 2018-02-07 Alyssa V. Bienvenu , Gerald Knizia

High-entropy alloys (HEAs), which have been intensely studied due to their excellent mechanical properties, generally refer to alloys with multiple equimolar or nearly equimolar elements. According to this definition, Si-Ge-Sn alloys with…

Materials Science · Physics 2020-01-08 D. Wang , L. Liu , W. Huang , H. L. Zhuang

We investigate fundamental properties of meta-generalized-gradient approximations (meta-GGAs) to the exchange-correlation energy functional, which have an implicit density dependence via the Kohn-Sham kinetic-energy density. To this…

Chemical Physics · Physics 2014-12-10 F. G. Eich , Maria Hellgren

Self-consistent calculations using the Perdew-Zunger self-interaction correction (PZ-SIC) to local density and gradient dependent energy functionals are presented for the binding energy and equilibrium geometry of small molecules as well as…

Atomic and Molecular Clusters · Physics 2013-08-30 Simon Klüpfel , Peter Klüpfel , Hannes Jónsson

The numerical implementation of an exchange-correlation functional is not always an accurate reproduction of its theoretical specification. For example, density functionals for exchange and correlation can be defined by an exchange or…

Materials Science · Physics 2012-11-01 Jonathan E. Moussa , Peter A. Schultz

Functionals of the meta-generalized gradient approximation (MGGA) are nowadays widely used in chemistry and solid-state physics for the simulation of electronic systems like molecules, solids, or surfaces. Due to their dependency on the…

Materials Science · Physics 2022-05-31 Jan Doumont , Fabien Tran , Peter Blaha

Aiming to remedy the incorrect asymptotic behavior of conventional semilocal exchange-correlation (XC) density functionals for finite systems, we propose an asymptotic correction scheme, wherein an exchange density functional whose…

Chemical Physics · Physics 2013-05-17 Chi-Ruei Pan , Po-Tung Fang , Jeng-Da Chai

We present the self-consistent implementation of current-dependent (hybrid) meta generalized gradient approximation (mGGA) density functionals using London atomic orbitals. A previously proposed generalized kinetic energy density is…

We introduce a systematic analysis of density functional approximation errors in solids by separating functional-driven from density-driven contributions using quantum Monte Carlo densities of silicon, sodium chloride, and copper as…

Materials Science · Physics 2026-05-15 Ayoub Aouina , Nicolas Tancogne-Dejean , Silvana Botti

Many geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given noisy measurements of a subset of their pairwise relative transforms. This problem is…

Robotics · Computer Science 2017-02-13 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

There is increasing interest in many-body perturbation theory as a practical tool for the calculation of ground-state properties. As a consequence, unambiguous sum rules such as the conservation of particle number under the influence of the…

Materials Science · Physics 2007-05-23 Arno Schindlmayr , P. Garcia-Gonzalez , R. W. Godby

Many important geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given a set of relative measurements between them. This problem is typically formulated as…

Robotics · Computer Science 2017-02-07 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

We assess the performance of recent density functionals for the exchange-correlation energy of a nonmolecular solid, by applying accurate calculations with the GAUSSIAN, BAND, and VASP codes to a test set of 24 solid metals and non-metals.…

We present a generalized formulation of the Optimized Effective Potential (OEP) approach to the Self Interaction Correction (SIC) problem in Time Dependent (TD) Density Functional Theory (DFT). The formulation relies on the introduction of…

Quantum Physics · Physics 2016-02-03 J. Messud , P. M. Dinh , P. -G. Reinhard , E. ~Suraud

F.E. Harris has been a significant partner in our work on orbital-free density functional approximations for use in ab initio molecular dynamics. Here we mention briefly the essential progress on single-point functionals since our original…

Chemical Physics · Physics 2016-01-12 Valentin V. Karasiev , S. B. Trickey

Most density functionals have been developed by imposing the known exact constraints on the exchange-correlation energy, or by a fit to a set of properties of selected systems, or by both. However, accurate modeling of the conventional…

Materials Science · Physics 2016-08-24 Jianmin Tao , Yuxiang Mo

Standard approximations for the exchange-correlation (XC) functional in Kohn-Sham density functional theory (KS-DFT) typically lead to unacceptably large errors when applied to strongly-correlated electronic systems. Partition-DFT (PDFT) is…

Chemical Physics · Physics 2023-09-12 Yi Shi , Yuming Shi , Adam Wasserman

The correction of the self-interaction error (SIE) that is inherent to all standard density functional theory (DFT) calculations is an object of increasing interest. In this article we apply the very recently developed Fermi-orbital based…

Computational Physics · Physics 2016-01-20 Torsten Hahn , Simon Liebing , Jens Kortus , Mark R. Pederson

We propose a multiconfigurational hybrid density-functional theory which rigorously combines a multiconfiguration self-consistent-field calculation with a density-functional approximation based on a linear decomposition of the…

Chemical Physics · Physics 2012-08-20 Kamal Sharkas , Andreas Savin , Hans Jørgen Aa. Jensen , Julien Toulouse

A nonconformal domain decomposition method based on the hybrid surface integral equation partial differential equation (SIE-PDE) formulation is proposed to solve the transverse magnetic electromagnetic problems. In the hybrid SIE-PDE…

Computational Engineering, Finance, and Science · Computer Science 2022-06-03 Aipeng Sun , Zekun Zhu , Shunchuan Yang , Zhizhang Chen