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The random phase approximation (RPA) for the electron correlation energy, combined with the exact-exchange energy, represents the state-of-the-art exchange-correlation functional within density-functional theory (DFT). However, the standard…

Other Condensed Matter · Physics 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

The dynamical effects of ground state correlations for excitation energies and transition strengths near the superfluid phase transition are studied in the soluble two level pairing model, in the context of the particle-particle self…

Nuclear Theory · Physics 2008-11-26 E. J. V. de Passos , A. F. R. de Toledo Piza , F. Krmpotić

We derive the self-consistent random phase approximations (sc-RPA) from the projective truncation approximation (PTA) for the equation of motion of two-time Green's function. The obtained sc-RPA applies to arbitrary temperature and recovers…

Strongly Correlated Electrons · Physics 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong

The results of numerical simulation using a modified Monte Carlo method with a thermostat algorithm for a pseudospin model of orthonickelates are presented. Temperature phase diagrams are constructed for various degrees of filling and for…

Statistical Mechanics · Physics 2025-11-18 V. S. Ryumshin , Yu. D. Panov , V. A. Ulitko , A. S. Moskvin

The optimized random phase approximation (ORPA) for classical liquids is re-examined in the framework of the generating functional approach to the integral equations. We show that the two main variants of the approximation correspond to the…

Chemical Physics · Physics 2009-10-30 G. Pastore , O. Akinlade , F. Matthews , Z. Badirkhan

A self-consistent calculation scheme for correlated electron systems is created based on the density-functional theory (DFT). Our scheme is a multi-reference DFT (MR-DFT) calculation in which the electron charge density is reproduced by an…

Strongly Correlated Electrons · Physics 2009-11-13 Koichi Kusakabe , Naoshi Suzuki , Shusuke Yamanaka , Kizashi Yamaguchi

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

The consistency condition is tested within the particle-particle random-phase approximation (RPA), renormalized RPA (RRPA) and the self-consistent RPA (SCRPA) making use of the Richardson model of pairing. The two-particle separation energy…

Nuclear Theory · Physics 2009-11-11 Nguyen Dinh Dang

The random phase approximation (RPA) is exact for the exchange energy of a many-electron ground state, but RPA makes the correlation energy too negative by about 0.5 eV/electron. That large short-range error, which tends to cancel out of…

Computational Physics · Physics 2020-06-24 Tim Gould , Adrienn Ruzsinszky , John P. Perdew

We present a study of the equilibrium properties of $sp$-bonded solids within the pseudopotential approach, employing recently proposed generalized gradient approximation (GGA) exchange correlation functionals. We analyze the effects of the…

Condensed Matter · Physics 2016-08-31 Yumin Juan , Efthimios Kaxiras

Within many-body perturbation theory, Hedin's formalism offers a systematic way to iteratively compute the self-energy $\Sigma$ of any interacting system, provided one can evaluate the interaction vertex $\Gamma$ exactly. This is however…

Chemical Physics · Physics 2022-11-04 Carlos Mejuto-Zaera , Vojtěch Vlček

Based on an exact functional form derived for the three-point vertex function $\Gamma$, we propose a self-consistent calculation scheme for the electron self-energy with $\Gamma$ always satisfying the Ward identity. This scheme is basically…

Materials Science · Physics 2010-05-11 Soh Ishii , Hideaki Maebashi , Yasutami Takada

A self-consistent method for calculating electron transport through a molecular device is proposed. It is based on density functional theory electronic structure calculations under periodic boundary conditions and implemented in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

We suggest a new method of calculation of the equilibrium correlation functions of an arbitrary order for the interacting Fermi-gas model in the frame of the static fluctuation approximation (SFA) method. This method based only on the…

Strongly Correlated Electrons · Physics 2015-05-27 R. R. Nigmatullin , A. A. Khamzin , I. I. Popov

In this paper we explore practicable ways for self-consistent calculations of spectral functions from analytically continued functional renormalization group (aFRG) flow equations. As a particularly straightforward one we propose to include…

High Energy Physics - Phenomenology · Physics 2021-11-24 Christopher Jung , Jan-Hendrik Otto , Ralf-Arno Tripolt , Lorenz von Smekal

The electron component of an ultracold neutral plasma (UCP) is modeled based on a scalable method using a self-consistently determined mean-field approximation. Representative sampling of discrete electrons within the UCP are used to…

Plasma Physics · Physics 2016-02-17 John Guthrie , Jacob Roberts

We study the frequency-dependent structure of electronic self-energy in the pseudogap and superconducting states of the two-dimensional Hubbard model. We present the self-energy calculated with the cellular dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2016-09-21 Shiro Sakai , Marcello Civelli , Masatoshi Imada

We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and two-particle correlators. We illustrate the applicability of…

Strongly Correlated Electrons · Physics 2024-08-09 A. Kowalski , M. Reitner , L. Del Re , M. Chatzieleftheriou , A. Amaricci , A. Toschi , L. de' Medici , G. Sangiovanni , T. Schäfer

We show that it is possible to restore the symmetry associated with the Goldstone mode within the Self Consistent Random Phase Approximation (SCRPA) applied to the three-level Lipkin model. We determine one and two-body densities as very…

Nuclear Theory · Physics 2009-11-10 D. S. Delion , P. Schuck , J. Dukelsky

In quantum nanoelectronics devices, the electrostatic energy is the largest energy scale at play and, to a large extend, it determines the charge distribution inside the devices. Here, we introduce the Pure Electrostatic Self consistent…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 A. Lacerda-Santos , Xavier Waintal