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Methods exhibiting linear scaling with respect to the size of the system, so called O(N) methods, are an essential tool for the calculation of the electronic structure of large systems containing many atoms. They are based on algorithms…

凝聚态物理 · 物理学 2007-05-23 Stefan Goedecker

An efficient method for calculating the electronic structure in large systems with a fully converged BZ sampling is presented. The method is based on a k.p-like approximation developed in the framework of the density functional perturbation…

计算物理 · 物理学 2009-11-07 Marcella Iannuzzi , Michele Parrinello

A mixed basis approach based on density functional theory is extended to one-dimensional(1D) systems. The basis functions here are taken to be the localized B-splines for the two finite non-periodic dimensions and the plane waves for the…

材料科学 · 物理学 2016-04-20 Chung-Yuan Ren , Yia-Chung Chang , Chen-Shiung Hsue

Density functional theory has become the workhorse of quantum physics, chemistry, and materials science. Within these fields, a broad range of applications needs to be covered. These applications range from solids to molecular systems, from…

化学物理 · 物理学 2025-01-20 Christof Holzer , Yannick J. Franzke

We propose a way to improve energy density functionals (EDFs) in the density functional theory based on the combination of the inverse Kohn--Sham method and the density functional perturbation theory. Difference between the known EDF and…

化学物理 · 物理学 2019-11-22 Tomoya Naito , Daisuke Ohashi , Haozhao Liang

We show an $\textit{ab initio}$ construction of the energy density functional (EDF) for electron systems using the functional renormalization group. The correlation energies of the homogeneous electron gas given in our framework reproduce…

强关联电子 · 物理学 2021-08-03 Takeru Yokota , Tomoya Naito

The gas of the interacted electrons is usually described within Kohn-Sham approximation by the set of Poisson and Schr\"{o}dinger equations with an effective potential for the single-particle wave functions. The solution of these equations…

材料科学 · 物理学 2007-05-23 A. Ya. Shul'man , D. V. Posvyanskii

A method for calculating the Kohn--Sham exchange-correlation potential, $v_\text{XC}(\mathbf{r})$, from a given electronic wavefunction is devised and implemented. It requires on input one- and two-electron density matrices and involves…

化学物理 · 物理学 2015-08-19 Ilya G. Ryabinkin , Sviataslau V. Kohut , Viktor N. Staroverov

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

软凝聚态物质 · 物理学 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias

The computation of electronic structure properties at the quantum level is a crucial aspect of modern physics research. However, conventional methods can be computationally demanding for larger, more complex systems. To address this issue,…

量子物理 · 物理学 2023-12-05 Nouhaila Innan , Muhammad Al-Zafar Khan , Mohamed Bennai

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

Density functional theory is generalized to incorporate electron-phonon coupling. A Kohn-Sham equation yielding the electronic density $n_U(\mathbf{r})$, a conditional probability density depending parametrically on the phonon normal mode…

材料科学 · 物理学 2019-04-25 Ryan Requist , C. R. Proetto , E. K. U. Gross

We model the Hartree-exchange-correlation potential of Kohn-Sham density-functional theory adopting a novel strategy inspired by the strictly-correlated-electrons limit and relying on the exact decomposition of the potential based on the…

化学物理 · 物理学 2024-09-09 Sara Giarrusso , Federica Agostini

Recently, we have proposed the adaptive local basis set for electronic structure calculations based on Kohn-Sham density functional theory in a pseudopotential framework. The adaptive local basis set is efficient and systematically…

计算物理 · 物理学 2015-10-23 Gaigong Zhang , Lin Lin , Wei Hu , Chao Yang , John E. Pask

We present an efficient real space formalism for hybrid exchange-correlation functionals in generalized Kohn-Sham density functional theory (DFT). In particular, we develop an efficient representation for any function of the real space…

计算物理 · 物理学 2024-06-26 Xin Jing , Phanish Suryanarayana

A detailed account of the Kohn-Sham algorithm from quantum chemistry, formulated rigorously in the very general setting of convex analysis on Banach spaces, is given here. Starting from a Levy-Lieb-type functional, its convex and lower…

Using a novel self-consistent implementation of Hedin's GW perturbation theory we calculate space and energy dependent self-energy for a number of materials. We find it to be local in real space and rapidly convergent on second-- to third--…

强关联电子 · 物理学 2012-04-11 N. E. Zein , S. Y. Savrasov , G. Kotliar

We present a method to perform fully selfconsistent density-functional calculations, which scales linearly with the system size and which is well suited for very large systems. It uses strictly localized pseudoatomic orbitals as basis…

凝聚态物理 · 物理学 2009-10-28 Pablo Ordejon , Emilio Artacho , Jose M. Soler

This article addresses a fundamental problem faced by the ab initio community: the lack of an effective formalism for the rapid exploration and exchange of new methods. To rectify this, we introduce a novel, basis-set independent,…

材料科学 · 物理学 2009-10-31 Sohrab Ismail-Beigi , T. A. Arias

A self-consistent calculation scheme for correlated electron systems is created based on the density-functional theory (DFT). Our scheme is a multi-reference DFT (MR-DFT) calculation in which the electron charge density is reproduced by an…

强关联电子 · 物理学 2009-11-13 Koichi Kusakabe , Naoshi Suzuki , Shusuke Yamanaka , Kizashi Yamaguchi