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The past years have witnessed impressive advances in electronic structure calculation, especially in the complexity and size of the systems studied, as well as in computation time. Linear scaling methods based on empirical tight-binding…

材料科学 · 物理学 2007-05-23 Abduxukur Abdurixit , Alexis Baratoff , Giulia Galli

We propose a hybrid approach which employs the dynamical mean-field theory (DMFT) self-energy for the correlated, typically rather localized orbitals and a conventional density functional theory (DFT) exchange-correlation potential for the…

强关联电子 · 物理学 2021-06-16 Sumanta Bhandary , Karsten Held

We present recent developments of the NTChem program for performing large scale hybrid Density Functional Theory calculations on the supercomputer Fugaku. We combine these developments with our recently proposed Complexity Reduction…

Density-functional theory (DFT) has revolutionized computer simulations in chemistry and material science. A faithful implementation of the theory requires self-consistent calculations. However, this effort involves repeatedly diagonalizing…

量子物理 · 物理学 2023-07-17 Taehee Ko , Xiantao Li , Chunhao Wang

We present a new linear scaling method for the energy minimization step of semiempirical and first-principles Hartree-Fock and Kohn-Sham calculations. It is based on the self-consistent calculation of the optimum localized orbitals of any…

材料科学 · 物理学 2009-11-10 Luis Seijo , Zoila Barandiaran

The recently developed localized orbital scaling correction (LOSC) method shows the ability to systematically and size-consistently reduce the delocalization error existing in conventional density functional approximations (DFAs). Applying…

化学物理 · 物理学 2020-10-19 Yuncai Mei , Zehua Chen , Weitao Yang

In many problems in Computational Physics and Chemistry, one finds a special kind of sparse matrices, termed "banded matrices". These matrices, which are defined as having non-zero entries only within a given distance from the main…

计算物理 · 物理学 2013-06-21 Pablo García-Risueño , Pablo Echenique

We present a method to compute high-order derivatives of the total energy which can be used in the framework of density functional theory. We provide a proof of the $2n+1$ theorem for a general class of energy functionals in which the…

凝聚态物理 · 物理学 2007-05-23 Andrea Dal Corso , Francesco Mauri

Accurately modeling the electronic structure of materials is a persistent challenge to high-throughput screening. A promising means of balancing accuracy against computational cost are non-self-consistent calculations with hybrid…

材料科学 · 物理学 2020-05-04 Jonathan M. Skelton , David S. D. Gunn , Sebastian Metz , Stephen C. Parker

We present for static density functional theory and time-dependent density functional theory calculations an all-electron method which employs high-order hierarchical finite element bases. Our mesh generation scheme, in which structured…

材料科学 · 物理学 2009-08-06 Lauri Lehtovaara , Ville Havu , Martti Puska

A novel low complexity method to perform self-consistent electronic-structure calculations using the Kohn-Sham formalism of density functional theory is presented. Localization constraints are neither imposed nor required thereby allowing…

计算物理 · 物理学 2007-05-23 M. J. Rayson

The implementation of an efficient self-consistent field (SCF) method including both scalar relativistic effects and spin-orbit interaction in density functional theory (DFT) is presented. We make use of Gaussian-type orbitals (GTOs) and…

化学物理 · 物理学 2024-05-03 Yannick J. Franzke , Werner M. Schosser , Fabian Pauly

We present a machine learning algorithm for the prediction of molecule properties inspired by ideas from density functional theory. Using Gaussian-type orbital functions, we create surrogate electronic densities of the molecule from which…

化学物理 · 物理学 2019-11-27 Michael Eickenberg , Georgios Exarchakis , Matthew Hirn , Stéphane Mallat , Louis Thiry

We present a fully variational locally scaled self-interaction corrected (SIC) energy functional using complex optimal orbitals. This represents an important milestone for fully variational SIC energy functionals, which have been shown to…

We introduce a method for solving a self consistent electronic calculation within localized atomic orbitals, that allows us to converge to the complete basis set (CBS) limit in a stable, controlled, and systematic way. We compare our…

强关联电子 · 物理学 2015-05-19 S. Azadi , C. Cavazzoni , S. Sorella

A new O(N) algorithm based on a recursion method, in which the computational effort is proportional to the number of atoms N, is presented for calculating the inverse of an overlap matrix which is needed in electronic structure calculations…

凝聚态物理 · 物理学 2016-08-31 T. Ozaki

We develop a self-consistent first-principle method based on the density functional theory. Physical quantities, such as the density of states, Fermi energy and electron density are obtained using a time-dependent random state method…

介观与纳米尺度物理 · 物理学 2023-02-15 Weiqing Zhou , Shengjun Yuan

Total energy electronic structure calculations, based on density functional theory or on the more empirical tight binding approach, are generally believed to scale as the cube of the number of electrons. By using the localisaton property of…

材料科学 · 物理学 2009-11-11 Florian R. Krajewski , Michele Parrinello

The recent progress of linear-scaling or O(N) methods in the density functional theory (DFT) is remarkable. We expect that first-principles molecular dynamics (FPMD) simulations based on DFT can now treat more realistic and complex systems…

材料科学 · 物理学 2014-11-11 Michiaki Arita , David R. Bowler , Tsuyoshi Miyazaki

We describe a scheme for efficient large-scale electronic-structure calculations based on the combination of the pole expansion and selected inversion (PEXSI) technique with the SIESTA method, which uses numerical atomic orbitals within the…

计算物理 · 物理学 2015-06-19 Lin Lin , Alberto García , Georg Huhs , Chao Yang