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We have performed {\it ab initio} calculations for a series of energetic solids to explore their structural and electronic properties. To evaluate the ground state volume of these molecular solids, different dispersion correction methods…

Materials Science · Physics 2015-09-29 S. Appalakondaiah , G. Vaitheeswaran , S. Lebègue

The many-body theory of interacting electrons poses an intrinsically difficult problem that requires simplifying assumptions. For the determination of electronic screening properties of the Coulomb interaction, the Random Phase…

Strongly Correlated Electrons · Physics 2021-07-26 Erik G. C. P. van Loon , Malte Rösner , Mikhail I. Katsnelson , Tim O. Wehling

A fast method is developed for calculating the Random-Phase-Approximation (RPA) correlation energy for density functional theory. The correlation energy is given by a trace over a projected RPA response matrix and the trace is taken by a…

Chemical Physics · Physics 2013-01-01 Daniel Neuhauser , Eran Rabani , Roi Baer

Random phase approximation ground state contains electronic configurations where two (and more) identical electrons can occupy the same molecular spin-orbital violating the Pauli exclusion principle. This overcounting of electronic…

Chemical Physics · Physics 2017-10-25 Daniel S. Kosov

We report an ab initio evaluation of the surface energy of a simple metal, performed via a coupling-constant integration over the dynamical density-response function. The rapid rate of change of the electron density at the surface is…

Materials Science · Physics 2009-10-30 J. M. Pitarke , A. G. Eguiluz

The relative energies of different phases or polymorphs of molecular solids can be small, less than a kiloJoule/mol. Reliable description of such energy differences requires high quality treatment of electron correlations, typically beyond…

Chemical Physics · Physics 2024-02-19 Khanh Ngoc Pham , Marcin Modrzejewski , Jiří Klimeš

We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

Strongly Correlated Electrons · Physics 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

In this paper we present and analyse a high accuracy method for computing wave directions defined in the geometrical optics ansatz of Helmholtz equation with variable wave number. Then we define an "adaptive" plane wave space with small…

Numerical Analysis · Mathematics 2021-07-22 Qiya Hu , Zezhong Wang

Methods for estimating the correlation energy of molecules and other electronic systems are discussed based on the assumption that the correlation energy can be partitioned between atomic regions. In one method, the electron density is…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

We present an optimized random phase approximation method (optRPA26) that significantly improves upon conventional RPA. The method employs an empirically constructed hybrid functional to generate DFT orbitals to evaluate the RPA correlation…

Chemical Physics · Physics 2026-02-06 Neung-Kyung Yu , Johannes Voss , Andrew J. Medford

We formulate the calculation of the ground-state wavefunction and energy of a system of strongly correlated electrons in terms of scattering matrices. A hierarchy of approximations is introduced which results in an incremental expansion of…

Condensed Matter · Physics 2009-10-31 P. Fulde , H. Stoll , K. Kladko

The direct random-phase approximation (dRPA) is used to calculate and compare atomization energies for the HEAT set and 10 selected molecules of the G2-1 set using both plane waves and Gaussian-type orbitals. We describe detailed procedures…

The electronic energy-loss straggling of protons and antiprotons moving at arbitrary nonrelativistic velocities in a homogeneous electron gas are evaluated within a quadratic response theory and the random-phase approximation (RPA). These…

Materials Science · Physics 2009-10-31 Neng-ping Wang , J. M. Pitarke

Attaining a reliable complete basis set (CBS) limit remains a significant challenge in ab initio correlated electronic-structure calculations. Building on our previous work for atoms and diatomic molecules, we present a finite-element (FE)…

Materials Science · Physics 2026-03-30 Hao Peng , Haochen Liu , Chuhao Li , Hehu Xie , Xinguo Ren

In this paper we compute one-loop corrections to masses and couplings in the minimal supersymmetric standard model. We present explicit formulae for the complete corrections and a set of compact approximations which hold over the unified…

High Energy Physics - Phenomenology · Physics 2009-03-12 Damien M. Pierce , Jonathan A. Bagger , Konstantin T. Matchev , Ren-Jie Zhang

Based on an equations--of--motion approach for time--dependent pair correlations in strongly interacting Fermi liquids, we have developed a theory for describing the excitation spectrum of these systems. Compared to the known ``correlated''…

Other Condensed Matter · Physics 2009-11-11 Helga M. Böhm , Eckhard Krotscheck , Martin Panholzer

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Tim Gould , John F. Dobson

We analyze in detail the error that arises from the linearization in linearized augmented-plane-wave (LAPW) basis functions around predetermined energies $E_l$ and show that it can lead to undesirable dependences of the calculated results…

Materials Science · Physics 2013-11-19 Gregor Michalicek , Markus Betzinger , Christoph Friedrich , Stefan Blügel

Electronic structure methods for accurate calculation of molecular properties have a high cost that grows steeply with the problem size, therefore, it is helpful to have the underlying atomic basis functions that are less in number but of…

Chemical Physics · Physics 2019-03-15 Dimitri N. Laikov

Simple analytic formulae for energy relaxation (ER) in electron-ion systems, with quantum corrections, ion dynamics and RPA-type screening are presented. ER in the presence of bound electrons is examined in view of of recent simulations for…

Plasma Physics · Physics 2008-11-26 M. W. C. Dharma-Wardana