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We introduce a practical and efficient approach for calculating the all-electron full potential bandstructure in real space, employing a finite element basis. As an alternative to the k-space method, the method involves the self-consistent…

材料科学 · 物理学 2023-07-25 Dongming Li , James Kestyn , Eric Polizzi

We present an efficient algorithm for the all-electron periodic Coulomb matrix based on the Ewald summation combined with the Fourier-transformed Coulomb method. The short-range contributions involving compact densities are evaluated in…

化学物理 · 物理学 2025-09-23 Hieu Q. Dinh , Adam Rettig , Xintian Feng , Joonho Lee

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)]…

其他凝聚态物理 · 物理学 2011-07-27 Jason D. Goodpaster , Taylor A. Barnes , Thomas F. Miller

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial…

量子物理 · 物理学 2015-03-13 J. P. Coe , A. Sudbery , I. D'Amico

Density functional calculations can fail for want of an accurate exchange-correlation approximation. The energy can instead be extracted from a sequence of density functional calculations of conditional probabilities (CP-DFT). Simple CP…

We present a method for the calculation of electronic structure of systems that contain tens of thousands of atoms. The method is based on the division of the system into mutually overlapping fragments and the representation of the…

材料科学 · 物理学 2011-03-09 Nenad Vukmirović , Lin-Wang Wang

We study the conformal capacity ${\rm cap}(\Omega,K)$ where $\Omega$ is a bounded domain of $\mathbb{R}^2$ and $K$ is a compact connected set in $\Omega$. Because the exact numerical value of the capacity is known only in a handful of…

数值分析 · 数学 2025-12-16 Harri Hakula , Oona Rainio , Matti Vuorinen

The wurtzite (wz) structure of CdS is analyzed using density functional theory within the generalized gradient approximation (GGA) and Hubbard correction (GGA+U). The total energy convergence evaluation is carried out concerning energy…

材料科学 · 物理学 2022-06-22 Ankan Biswas , S. R. Meher , Deepak K. Kaushik

The equations of state at room temperature as well as the energies of crystal structures up to pressures exceeding 100 GPa are calculated for Na and K . It is shown that the allowance for generalized gradient corrections (GGA) in the…

材料科学 · 物理学 2009-10-31 M. I. Katsnelson , G. V. Sinko , N. A. Smirnov , A. V. Trefilov , K. Yu. Khromov

Modeling high temperature (10's or 100's of eV), dense plasmas is challenging due to the multitude of non-negligible physical effects including significant partial ionization and multi-site effects. These effects cause the breakdown or…

计算物理 · 物理学 2018-05-16 C. E. Starrett

We have applied the Finite Element Method to the self-consistent electronic structure calculations of molecules and solids for the first time. In this approach all the calculations are performed in "real space" and the use of non-uniform…

mtrl-th · 物理学 2009-10-28 Eiji Tsuchida , Masaru Tsukada

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

An interesting fundamental problem in density-functional theory of electronic structure of matter is to construct the exact Kohn-Sham (KS) potential for a given density. The exact potential can then be used to assess the accuracy of…

原子与分子团簇 · 物理学 2019-05-22 Ashish Kumar , Rabeet Singh , Manoj K. Harbola

We present a novel method for the calculation of the energy density of states D(E) for systems described by classical statistical mechanics. The method builds on an extension of a recently proposed strategy that allows the free energy…

统计力学 · 物理学 2009-11-10 Cristian Micheletti , Alessandro Laio , Michele Parrinello

We propose a new method of calculating electronically excited states that combines a density functional theory (DFT) based ground state calculation with a linear response treatment that employs approximations used in the time-dependent…

化学物理 · 物理学 2016-05-11 Robert Rüger , Erik van Lenthe , Thomas Heine , Lucas Visscher

In this work we present a comparison of multiband k.p-models, the effective bond-orbital approach, and an empirical tight-binding model to calculate the electronic structure for the example of a truncated pyramidal GaN/AlN self-assembled…

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

We present a method for calculating the kinetic energy of localised functions represented on a regular real space grid. This method uses fast Fourier transforms applied to restricted regions commensurate with the simulation cell and is…

We study the accuracy of the divide-and-conquer method for electronic structure calculations. The analysis is conducted for a prototypical subdomain problem in the method. We prove that the pointwise difference between electron densities of…

数值分析 · 数学 2015-04-07 Jingrun Chen , Jianfeng Lu

One reason that free energy difference calculations are notoriously difficult in molecular systems is due to insufficient conformational overlap, or similarity, between the two states or systems of interest. The degree of overlap is…

生物物理 · 物理学 2009-11-11 F. Marty Ytreberg , Daniel M. Zuckerman