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We study an interacting electron gas in a quantum wire within the Hartree-Fock random phase approximation. Vertex corrections to the electron spin polarizability due to the electronic exchange interaction are important giving rise to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Arne Brataas , A. G. Mal'hukov , Christoph Steinebach , Vidar Gudmundsson , K. A. Chao

We present a comparison of methods for treating the electrostatic interactions of finite, isolated systems within periodic boundary conditions (PBCs), within Density Functional Theory (DFT), with particular emphasis on linear-scaling (LS)…

Computational Physics · Physics 2011-12-07 N. D. M. Hine , J. Dziedzic , P. D. Haynes , C. K. Skylaris

Analytical expressions for the binding energy of electrons and positrons in dielectric clusters, analysed in this work, neglect the elastic effects. Therefore, we present the density-functional theory for neutral liquid clusters that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Valentin V. Pogosov , Walter V. Pogosov , Denis P. Kotlyarov

The electronic structure of semiconductors and insulators is affected by ionic motion through electron-phonon interaction, yielding temperature-dependent band gap energies and zero-point renormalization (ZPR) at absolute zero temperature.…

Materials Science · Physics 2023-07-13 Véronique Brousseau-Couture , Xavier Gonze , Michel Côté

The present work proposes to use density-functional theory (DFT) to correct for the basis-set error of wave-function theory (WFT). One of the key ideas developed here is to define a range-separation parameter which automatically adapts to a…

The Squared-Gradient approximation to the Modified-Core Van der Waals density functional theory model is developed. A simple, explicit expression for the SGA coefficient involving only the bulk equation of state and the interaction…

Soft Condensed Matter · Physics 2011-05-03 James F. Lutsko

We perform a linearization of the Poisson-Boltzmann (PB) density functional for spherical Wigner-Seitz cells that yields Debye-H\"uckel-like equations agreeing asymptotically with the PB results in the weak-coupling (high-temperature)…

Soft Condensed Matter · Physics 2009-11-07 M. N. Tamashiro , H. Schiessel

Electron correlation in finite and extended systems is often described in an effective single-particle framework within the $GW$ approximation. Here, we use the statically screened second-order exchange contribution to the self-energy…

Chemical Physics · Physics 2022-03-18 Arno Förster , Lucas Visscher

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…

Materials Science · Physics 2022-06-22 Ankan Biswas , S. R. Meher , Deepak K. Kaushik

We present a new embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yi Zhang , Hanna Terletska , Ka-Ming Tam , Yang Wang , Markus Eisenbach , Liviu Chioncel , Mark Jarrell

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

The general procedure underlying Hartree-Fock and Kohn-Sham density functional theory calculations consists in optimizing orbitals for a self-consistent solution of the Roothaan-Hall equations in an iterative process. It is often ignored…

Chemical Physics · Physics 2017-03-16 Alain C. Vaucher , Markus Reiher

In this paper, we scrutinize the ability of seniority-zero wavefunction-based methods to model different types of non-covalent interactions, such as hydrogen bonds, dispersion, and mixed non-covalent interactions as well as prototypical…

Chemical Physics · Physics 2020-02-18 Filip Brzęk , Katharina Boguslawski , Paweł Tecmer , Piotr S. Żuchowski

In approximate density functional theory (DFT), the self-interaction error is an electron delocalization anomaly associated with underestimated insulating gaps. It exhibits a predominantly quadratic energy-density curve that is amenable to…

Chemical Physics · Physics 2016-12-21 Glenn Moynihan , Gilberto Teobaldi , David D. O'Regan

We apply the renormalized singles with correlation (RSc) Green's function in the $GW$ approximation to calculate accurate quasiparticle (QP) energies and orbitals. The RSc Green's function includes all orders of singles contributions from…

Chemical Physics · Physics 2022-10-19 Jiachen Li , Weitao Yang

A semi-relativistic density-functional theory that includes spin-orbit couplings and Zeeman fields on equal footing with the electromagnetic potentials, is an appealing framework to develop a unified first-principles computational approach…

Materials Science · Physics 2017-09-13 S. Pittalis , G. Vignale , F. G. Eich

Anderson localization is a single particle localization phenomena in disordered media that is accompanied by an absence of diffusion. Spin-orbit coupling (SOC) describes an interaction between a particle's spin and its momentum that…

Quantum Gases · Physics 2020-09-23 Y. Yue , C. A. R. Sá de Melo , I. B. Spielman

Eleven density functionals are compared with regard to their performance for the lattice constants of solids. We consider standard functionals, such as the local-density approximation and the Perdew-Burke-Ernzerhof (PBE)…

We explore different variants of the random phase approximation (RPA) to the correlation energy derived from closed-shell ring-diagram approximations to coupled cluster doubles theory. We implement these variants in range-separated…

Chemical Physics · Physics 2011-09-01 Julien Toulouse , Wuming Zhu , Andreas Savin , Georg Jansen , János G. Angyán

The calculation of quasi-particle spectra based on the GW approximation is extended to systems of hundreds of atoms, thus expanding the size range of current approaches by more than one order of magnitude. This is achieved through an…

Materials Science · Physics 2008-11-11 P. Umari , Geoffrey Stenuit , Stefano Baroni