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We perform extensive simulations of the two-dimensional cavity-coupled electron gas in a modulating potential as a minimal model for cavity quantum materials. These simulations are enabled by a newly developed quantum-electrodynamical (QED)…

Strongly Correlated Electrons · Physics 2025-10-08 Lukas Weber , Miguel A. Morales , Johannes Flick , Shiwei Zhang , Angel Rubio

The correlation energy in density functional theory can be expressed exactly in terms of the change in the probability of finding two electrons at a given distance $r_{12}$ (intracule density) when the electron-electron interaction is…

Other Condensed Matter · Physics 2017-08-23 Paola Gori-Giorgi , Michael Seidl , Andreas Savin

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

Strongly Correlated Electrons · Physics 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

Within density-functional theory, the local-density approximation (LDA) correlation functional is typically built by fitting the difference between the near-exact and Hartree-Fock (HF) energies of the uniform electron gas (UEG), together…

Chemical Physics · Physics 2017-05-01 Fergus J. M. Rogers , Caleb J. Ball , Pierre-François Loos

We discuss an efficient approach to excited electronic states within ab-initio many-body perturbation theory (MBPT). Quasiparticle corrections to density-functional theory result from the difference between metallic and non-metallic…

Materials Science · Physics 2013-05-29 Michael Rohlfing

Using density functional theory, we investigate fluctuations of the ground state energy of spin-polarized, disordered quantum dots in the metallic regime. To compare to experiment, we evaluate the distribution of addition energies and find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Hirose , F. Zhou , N. Wingreen

A novel approach to electronic correlations in magnetic crystals which takes into account a dynamical many-body effects is present. In order to to find a frequency dependence of the electron self energy, an effective quantum-impurity…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson

We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it…

Nuclear Theory · Physics 2018-04-25 Tomoya Naito , Ryosuke Akashi , Haozhao Liang

We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair correlation function, static structure factor, and momentum density of the ground state of the two-dimensional homogeneous electron gas. We…

Mesoscale and Nanoscale Physics · Physics 2010-03-02 N. D. Drummond , R. J. Needs

An oversight of several previous results from local density approximation (LDA) calculations appear to have led to an incomplete, and hence misleading, characterization of the capability of density functional theory (DFT) to describe…

Materials Science · Physics 2011-01-28 Diola Bagayoko , Lashounda Franklin , G. L. Zhao

A strict bidimensional (strict-2D) exact-exchange (EE) formalism within the framework of density-functional theory (DFT) has been developed and applied to the case of an electron gas subjected to a strong perpendicular magnetic field, that…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 D. Miravet , C. R. Proetto

We construct and apply an exchange-correlation functional for the one-dimensional Hubbard model. This functional has built into it the Luttinger-liquid and Mott-insulator correlations, present in the Hubbard model, in the same way in which…

Strongly Correlated Electrons · Physics 2007-05-23 K. Capelle , N. A. Lima , M. F. Silva , L. N. Oliveira

We present the numerical Quantum Monte Carlo results for the ground state energy of circular quantum dots in which Rashba spin-orbit iteraction is present. Diffusion Monte Carlo with spin propagation is applied in order to treat the…

Superconductivity · Physics 2015-05-18 A. Ambrosetti , F. Pederiva , E. Lipparini

We demonstrate the existence of different density-density functionals designed to retain selected properties of the many-body ground state in a non-interacting solution starting from the standard density functional theory ground state. We…

Other Condensed Matter · Physics 2009-11-13 F. A. Reboredo , P. R. C. Kent

We employ density-functional theory (DFT) in the generalized gradient approximation (GGA) and its extensions GGA+$U$ and GGA+Gutzwiller to calculate the magnetic exchange couplings between pairs of Mn ions substituting Cd in a CdTe crystal…

Strongly Correlated Electrons · Physics 2017-02-01 Thorben Linneweber , Jörg Bünemann , Ute Löw , Florian Gebhard , Frithjof Anders

The LDA+DMFT approach merges conventional band structure theory in the local density approximation (LDA) with a state-of-the-art many-body technique, the dynamical mean-field theory (DMFT). This new computational scheme has recently become…

Strongly Correlated Electrons · Physics 2009-10-31 K. Held , I. A. Nekrasov , N. Blümer , V. I. Anisimov , D. Vollhardt

Recent high resolution Compton scattering experiments in lithium have shown significant discrepancies with conventional band theoretical results. We present a pseudopotential quantum Monte Carlo study of electron-electron and electron-ion…

Condensed Matter · Physics 2009-10-31 Claudia Filippi , David M. Ceperley

Dense arrays of semiconductor quantum dots are currently employed in highly efficient quantum dot lasers for data communications and other applications. Traditionally, the electronic properties of such quantum nanostructures have been…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 Christopher Natale , Ethan Diak , Ray LaPierre , Ryan B. Lewis

Qualitatively incorrect results are obtained for the Mn dimer in density functional theory calculations using the generalized gradient approximation (GGA) and similar results are obtained from local density and meta-GGA functionals. The…

Chemical Physics · Physics 2021-05-18 Aleksei V. Ivanov , Tushar K. Ghosh , Elvar Ö. Jónsson , Hannes Jónsson

An exchange-correlation energy functional beyond the local density approximation, based on the exchange-correlation kernel of the homogeneous electron gas and originally introduced by Kohn and Sham, is considered for electronic structure…

Condensed Matter · Physics 2016-08-31 Maurizia Palummo , Giovanni Onida , Rodolfo Del Sole
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