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Stochastic and mixed stochastic-deterministic density functional theory (DFT) are promising new approaches for the calculation of the equation-of-state and transport properties in materials under extreme conditions. In the intermediate warm…

计算物理 · 物理学 2023-09-27 Vidushi Sharma , Lee A. Collins , Alexander J. White

In this article, a numerical analysis of the projector augmented-wave (PAW) method is presented, restricted to the case of dimension one with Dirac potentials modeling the nuclei in a periodic setting. The PAW method is widely used in…

数值分析 · 数学 2023-01-02 Mi-Song Dupuy

In this work we present a new method for basis set generation for electronic structure calculations of crystalline solids. This procedure is aimed at applications to Density Functional Theory (DFT). In this construction, Energy Window…

材料科学 · 物理学 2025-07-16 Garry Goldstein

We present an efficient implemention of a non-equilibrium Green function (NEGF) method for self-consistent calculations of electron transport and forces in nanostructured materials. The electronic structure is described at the level of…

介观与纳米尺度物理 · 物理学 2015-06-04 Jingzhe Chen , Kristian S. Thygesen , Karsten W. Jacobsen

We propose an adaptive planewave method for eigenvalue problems in electronic structure calculations. The method combines a priori convergence rates and accurate a posteriori error estimates into an effective way of updating the energy…

计算物理 · 物理学 2021-07-30 Beilei Liu , Huajie Chen , Geneviève Dusson , Jun Fang , Xingyu Gao

We present valence electron Compton profiles calculated within the density-functional theory using the all-electron full-potential projector augmented-wave method (PAW). Our results for covalent (Si), metallic (Li, Al) and hydrogen-bonded…

材料科学 · 物理学 2007-05-23 I. Makkonen , M. Hakala , M. J. Puska

Electronic structure calculation of atoms and molecules, in the past few decades has largely been dominated by density functional methods. This is primarily due to the fact that this can account for electron correlation effects in a…

化学物理 · 物理学 2013-07-12 Amlan K. Roy

We present an effective medium theory based on density functional theory that is implemented in VASP using the PAW method with a plane wave basis set. The transmission coefficient is derived through three complementary approaches: the…

介观与纳米尺度物理 · 物理学 2025-09-03 Yi-Cheng Lin , Ken-Ming Lin , Yu-Chang Chen

Optimal exploitation of supercomputing resources for the evaluation of electrostatic forces remains a challenge in molecular dynamics simulations of very large systems. The most efficient methods are currently based on particle-mesh Ewald…

计算物理 · 物理学 2025-09-23 Federica Troni , Davide Grassano , Jayashree Narayan , Benoît Roux , Sara Bonella

A new implementation of the GW approximation (GWA) based on the all-electron Projector-Augmented-Wave method (PAW) is presented, where the screened Coulomb interaction is computed within the Random Phase Approximation (RPA) instead of the…

材料科学 · 物理学 2009-11-10 S. Lebègue , B. Arnaud , M. Alouani , P. E. Bloechl

We present a real-space adaptive-coordinate method, which combines the advantages of the finite-difference approach with the accuracy and flexibility of the adaptive coordinate method. The discretized Kohn-Sham equations are written in…

mtrl-th · 物理学 2009-10-28 Francois Gygi , Giulia Galli

In the distributed nucleus approximation we represent the singular nucleus as smeared over a smallportion of a Cartesian grid. Delocalizing the nucleus allows us to solve the Poisson equation for theoverall electrostatic potential using a…

chem-ph · 物理学 2009-10-28 Karthik A. Iyer , Michael P. Merrick , Thomas L. Beck

The current state of the art for large-scale quantum-mechanical simulations is the planewave (PW) pseudopotential method, as implemented in codes such as VASP, ABINIT, and many others. However, since the PW method uses a global Fourier…

计算物理 · 物理学 2021-11-09 John E. Pask , N. Sukumar

We present a combination of the recently developed double incremental expansion of potential energy surfaces with the well-established adaptive density-guided approach to grid construction. This unique methodology is based on the use of an…

化学物理 · 物理学 2020-06-24 Denis G. Artiukhin , Emil Lund Klinting , Carolin König , Ove Christiansen

We describe a set of techniques for performing large scale ab initio calculations using multigrid accelerations and a real-space grid as a basis. The multigrid methods provide effective convergence acceleration and preconditioning on all…

mtrl-th · 物理学 2008-02-03 E. L. Briggs , D. J. Sullivan , J. Bernholc

An implementation of full self-consistency over the electronic density in the DFT+DMFT framework on the basis of a plane wave-projector augmented wave (PAW) DFT code is presented. It allows for an accurate calculation of the total energy in…

强关联电子 · 物理学 2013-01-24 Bernard Amadon

This review discusses progress in efficient solvers which have as their foundation a representation in real space, either through finite-difference or finite-element formulations. The relationship of real-space approaches to linear-scaling…

材料科学 · 物理学 2009-10-31 Thomas L. Beck

The Kohn-Sham orbital kinetic energy density $\tau_\sigma(\vec{r}) = \sum_{i} w_{i\sigma} \big|\nabla \psi_{i\sigma}(\vec{r}) \big|^2$ is one fundamental quantity for constructing meta-generalized gradient approximations (meta-GGA) for use…

材料科学 · 物理学 2015-06-23 Lin-Hui Ye

A Projector Augmented Wave (PAW) atomic data file is needed to be generated for each element, and plays in the PAW method the role of the pseudopotential file for norm-conserving (NC) or ultra-soft (US) plane wave calculations. In this…

材料科学 · 物理学 2014-03-05 François Jollet , Marc Torrent , Natalie Holzwarth

In this paper, we propose an efficient implementation of combining Dynamical Mean field theory (DMFT) with electronic structure calculation based on the local density approximation (LDA). The pseudo-potential-plane-wave method is used in…

强关联电子 · 物理学 2015-06-03 Jian-Zhou Zhao , Jia-Ning Zhuang , Xiao-Yu Deng , Yan Bi , Ling-Cang Cai , Zhong Fang , Xi Dai