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Preliminary results based on a large compilation of line-strength profiles are presented and discussed. Elliptical galaxies (Es) with strong central Mg$_2$ show steeper line-strength gradients. These galaxies are more massive and have…

Astrophysics · Physics 2007-05-23 J. Jesus Gonzalez , Javier Gorgas

We show that Mn_2VAl is a compound for which the generalized gradient approximation (GGA) to the exchange-correlation functional in density functional theory makes a qualitative change in predicted behavior compared to the usual local…

Materials Science · Physics 2009-10-31 Ruben Weht , Warren E. Pickett

We discuss, simplify, and improve the spin-dependent correction of L.A. Constantin et al., Phys. Rev. B 84, 233103, for atomization energies, and develop a density parameter of the form $v\propto |\nabla n|/n^{10/9}$, found from the…

Chemical Physics · Physics 2013-02-01 L. A. Constantin , E. Fabiano , F. Della Sala

First-principles calculations within the Local Density Approximation (LDA) or Generalized Gradient Approximation (GGA), though very successful, are known to underestimate redox potentials, such as those at which lithium intercalates in…

Materials Science · Physics 2009-11-10 Fei Zhou , Matteo Cococcioni , Chris A. Marianetti , Dane Morgan , G. Ceder

Orbital-free density functional theory (OF-DFT) for real-space systems has historically depended on Lagrange optimization techniques, primarily due to the inability of previously proposed electron density approaches to ensure the…

Chemical Physics · Physics 2024-11-08 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández

Rare-earth oxides (REOs) are an important class of materials owing to their unique properties, including high ionic conductivities, large dielectric constants, and elevated melting temperatures, making them relevant to several technological…

Replica exchange stochastic gradient Langevin dynamics (reSGLD) has shown promise in accelerating the convergence in non-convex learning; however, an excessively large correction for avoiding biases from noisy energy estimators has limited…

Machine Learning · Statistics 2021-03-19 Wei Deng , Qi Feng , Georgios Karagiannis , Guang Lin , Faming Liang

Meta-generalized gradient approximations (meta-GGAs) on the third rung of the functional hierarchy are gaining increasing relevance for the electronic structure. Meta-GGAs are constructed from numerous ingredients including the orbital…

Materials Science · Physics 2025-06-05 Ashesh Giri , Chandra Shahi , Adrienn Ruzsinszky

The Strongly Constrained and Appropriately Normed (SCAN) functional is a non-empirical meta-generalized-gradient approximation (meta-GGA) functional that satisfies all the known constraints that a meta-GGA functional can, but it also…

Materials Science · Physics 2020-04-29 Yoh Yamamoto , Alan Salcedo , Carlos M. Diaz , Md Shamsul Alam , Tunna Baruah , Rajendra R. Zope

In density functional theory, the SCAN (Strongly Constrained and Appropriately Normed) and r2SCAN functionals significantly improve over generalized gradient approximation functionals such as PBE (Perdew-Burke-Ernzerhof) in predicting…

Materials Science · Physics 2025-10-21 Yubo Zhang , Da Ke , Rohan Maniar , Timo Lebeda , Peihong Zhang , Jianwei Sun , John P. Perdew

We propose a simple gradient-dependent bound for the exchange-correlation energy (sLL), based on the recent non-local bound derived by Lewin and Lieb. We show that sLL is equivalent to the original Lieb-Oxford bound in rapidly-varying…

Other Condensed Matter · Physics 2015-02-03 L. A. Constantin , E. Fabiano , A. Terentjevs , F. Della Sala

We study the predictions for the matter redshift-space power spectrum and correlation function of a Lagrangian-space Gaussian ansatz introduced in a previous work. This model is a natural extension of the Zeldovich approximation, where the…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-09 Patrick Valageas , Takahiro Nishimichi

We extend the recently proposed thermally-assisted-occupation density functional theory (TAO-DFT) [J.-D. Chai, J. Chem. Phys. 136, 154104 (2012)] to generalized-gradient approximation (GGA) exchange-correlation density functionals. Relative…

Chemical Physics · Physics 2015-06-18 Jeng-Da Chai

We construct a meta-generalized-gradient approximation which properly balances the nonlocality contributions to the exchange and correlation at the semilocal level. This non-empirical functional shows good accuracy for a broad palette of…

Chemical Physics · Physics 2013-05-17 L. A. Constantin , E. Fabiano , F. Della Sala

We show how one can construct \alert{a simple} exchange functional by extending the well-know local-density approximation (LDA) to finite uniform electron gases. This new generalized local-density approximation (GLDA) functional uses only…

Chemical Physics · Physics 2017-05-01 Pierre-François Loos

The random phase approximation (RPA) is attracting renewed interest as a universal and accurate method for first-principles total energy calculations. The RPA naturally accounts for long-range dispersive forces without compromising accuracy…

Materials Science · Physics 2013-03-04 Thomas Olsen , Kristian S. Thygesen

Recently, Tao and Mo (TM) derived a meta-generalized gradient approximation functional based on a model exchange-correlation hole. In this work, the performance of this functional is assessed on standard test sets, using the…

Chemical Physics · Physics 2017-01-04 Yuxiang Mo , Guocai Tian , Roberto Car , Viktor N. Staroverov , Gustavo E. Scuseria , Jianmin Tao

We present a generalization of Extended Lagrangian Born-Oppenheimer molecular dynamics [Phys. Rev. Lett. vol. 100, 123004 (2008); Eur. Phys. J. B vol. 94, 164 (2021)] that also includes the electronic spin-degrees of freedom as extended…

We extend the range-separated double-hybrid RSH+MP2 method [J. G. Angyan et al., Phys. Rev. A 72, 012510 (2005)], combining long-range HF exchange and MP2 correlation with a short-range density functional, to a fully self-consistent version…

Chemical Physics · Physics 2019-12-24 Szymon Smiga , Ireneusz Grabowski , Mateusz Witkowski , Bastien Mussard , Julien Toulouse

Layered lithium intercalating transition metal (TM) oxides are promising cathode materials for Li-ion batteries. Here we scrutinize the recently developed strongly constrained and appropriately normed (SCAN) density functional method to…

Materials Science · Physics 2018-12-31 Arup Chakraborty , Mudit Dixit , Dan T. Major
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