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Accurately determining the crystallographic structure of a material, organic or inorganic, is a critical primary step in material development and analysis. The most common practices involve analysis of diffraction patterns produced in…

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

数值分析 · 数学 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

Finding an optimal match between two different crystal structures underpins many important materials science problems, including describing solid-solid phase transitions, developing models for interface and grain boundary structures. In…

材料科学 · 物理学 2020-02-21 Félix Therrien , Peter Graf , Vladan Stevanović

In this article, we consider quantum crystals with defects in the reduced Hartree-Fock framework. The nuclei are supposed to be classical particles arranged around a reference periodic configuration. The perturbation is assumed to be small…

数学物理 · 物理学 2018-03-28 Salma Lahbabi

We investigate the ground-state properties of a collection of \textit{N} non-interacting electrons in a macroscopic volume $\Omega$ also containing a crystalline array of \textit{N} spheres of radius $r_c$ each taken as largely impenetrable…

其他凝聚态物理 · 物理学 2009-11-13 Bruno Rousseau , N. W. Ashcroft

We present an algorithm and implementation of integral-direct, density-fitted Hartree-Fock (HF) and second-order M{\o}ller-Plesset perturbation theory (MP2) for periodic systems. The new code eliminates the formerly prohibitive storage…

化学物理 · 物理学 2022-10-11 Sylvia J. Bintrim , Timothy C. Berkelbach , Hong-Zhou Ye

In this paper we present an approach aimed at calculating the optical dielectric constant of crystalline insulators both at the Hartree-Fock, and correlated levels. Our scheme employs a real-space methodology, employing Wannier functions as…

材料科学 · 物理学 2010-01-14 Priya Sony , Alok Shukla

Nonlocal kinetic energy density functionals (KEDFs) with density-dependent kernels are currently the most accurate functionals available for orbital-free density functional theory (OF-DFT) calculations. However, despite advances in…

材料科学 · 物理学 2024-12-05 Yongshuo Chen , Cheng Ma , Boning Cui , Tian Cui , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

We present an implementation of the multiconfiguration time-dependent Hartree-Fock method based on the adaptive finite element method for molecules under intense laser pulses. For efficient simulations, orbital functions are propagated by a…

量子物理 · 物理学 2023-01-09 Yuki Orimo , Takeshi Sato , Kenichi L. Ishikawa

The chemistry (composition and bonding information) of metallic glasses (MGs) is at least as important as structural topology for understanding their properties and production/processing peculiarities. This article reports a machine…

材料科学 · 物理学 2020-11-18 Ary R. Ferreira

Few-electron systems confined in two-dimensional parabolic quantum dots at high magnetic fields are studied by the Hartree-Fock (HF) and exact diagonalization methods. A generalized multicenter Gaussian basis is proposed in the HF method. A…

介观与纳米尺度物理 · 物理学 2009-11-10 B. Szafran , S. Bednarek , J. Adamowski , M. B. Tavernier , E. Anisimovas , F. M. Peeters

Density functional theory (DFT) can run into serious difficulties with localized states in elements such as transition metals with occupied-d states and oxygen. In contrast, Hartree-Fock (HF) method can be a better approach for such…

材料科学 · 物理学 2018-08-01 Hengxin Tan , Yuanchang Li , S. B. Zhang , Wenhui Duan

In order to study light unstable nuclei systematically, we propose a new method ''AMD + Hartree-Fock''. This method introduces the concept of the single particle orbits into the usual AMD. Applying AMD + HF to Be isotopes, it is found that…

核理论 · 物理学 2007-05-23 A. Dote , H. Horiuchi , Y. Kanada-En'yo

In this article, we set up a functional setting for mean-field electronic structure models of Hartree-Fock or Kohn-Sham types for disordered crystals. The electrons are quantum particles and the nuclei are classical point-like articles…

数学物理 · 物理学 2013-12-11 Eric Cancès , Salma Lahbabi , Mathieu Lewin

The availability of large high-quality single crystals is an important prerequisite for many studies in solid-state research. The optical floating-zone technique is an elegant method to grow such crystals, offering potential to prepare…

Organic molecular crystals are ideally placed to become next-generation piezoelectric materials due to their diverse chemistries that can be used to engineer tailor-made solid-state assemblies. Using crystal engineering principles, and…

材料科学 · 物理学 2024-12-11 Shubham Vishnoi , Geetu Kumari , Robert Guest , Pierre-André Cazade , Sarah Guerin

Standard procedures for local crystal-structure optimisation involve numerous energy and force calculations. It is common to calculate an energy-volume curve, fitting an equation of state around the equilibrium cell volume. This is a…

Local bond order parameters based on spherical harmonics, also known as Steinhardt order parameters, are often used to determine crystal structures in molecular simulations. Here we propose a modification of this method in which the complex…

软凝聚态物质 · 物理学 2009-11-13 Wolfgang Lechner , Christoph Dellago

A linear-scaling algorithm is presented for computing the Hartree-Fock (HF) exchange matrix using concentric atomic density fitting. The algorithm utilizes the stronger distance dependence of the three-center electron repulsion integrals…

化学物理 · 物理学 2014-10-21 David S. Hollman , Henry F. Schaefer , Edward F. Valeev

Inorganic crystals are periodic, highly-symmetric arrangements of atoms in three-dimensional space. Their structures are constrained by the symmetry operations of a crystallographic \emph{space group} and restricted to lie in specific…

机器学习 · 计算机科学 2025-09-30 Omri Puny , Yaron Lipman , Benjamin Kurt Miller