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Related papers: Bridging constrained random-phase approximation an…

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We discuss different methods of calculation of the screened Coulomb interaction $U$ in transition metals and compare the constraint local-density approximation (LDA) with the GW approach. We clarify that they offer complementary methods of…

Strongly Correlated Electrons · Physics 2009-11-10 I. V. Solovyev , M. Imada

The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

Nuclear Theory · Physics 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

The matrix equations of the random-phase approximation (RPA) are derived for the point-coupling Lagrangian of the relativistic mean-field (RMF) model. Fully consistent RMF plus (quasiparticle) RPA illustrative calculations of the isoscalar…

Nuclear Theory · Physics 2009-11-11 T. Niksic , D. Vretenar , P. Ring

As correlation strength has a key influence on the simulation of strongly correlated materials, many approaches have been proposed to obtain the parameter using first-principles calculations. However, the comparison of the different Coulomb…

Materials Science · Physics 2023-03-10 Bei-Lei Liu , Yue-Chao Wang , Yu Liu , Yuan-Ji Xu , Xin Chen , Hong-Zhou Song , Yan Bi , Hai-Feng Liu , Hai-Feng Song

We formulate a microscopic theory to calculate cross section of the radiative neutron capture reaction on neutron-rich nuclei using the continuum random-phase approximation (cRPA) to the time-dependent density functional theory (TDDFT).…

Nuclear Theory · Physics 2023-06-28 Teruyuki Saito , Masayuki Matsuo

Several methods have been developed to improve the predictions of density functional theory (DFT) in the case of strongly correlated electron systems. Out of these approaches, DFT+$U$, which corresponds to a static treatment of the local…

Strongly Correlated Electrons · Physics 2025-04-01 Alberto Carta , Iurii Timrov , Peter Mlkvik , Alexander Hampel , Claude Ederer

In the derivation of low-energy effective models for solids targeting the bands near the Fermi level, the constrained random phase approximation (cRPA) has become an appreciated tool to compute the effective interactions. The Wick-ordered…

Strongly Correlated Electrons · Physics 2015-07-15 Michael Kinza , Carsten Honerkamp

First principles constrained density functional theory scheme in Wannier functions formalism has been used to calculate Coulomb repulsion U and Hund's exchange J parameters for iron 3d electrons in LaFeAsO. Results strongly depend on the…

Strongly Correlated Electrons · Physics 2009-01-31 V. I. Anisimov , Dm. M. Korotin , S. V. Streltsov , A. V. Kozhevnikov , J. Kuneš , A. O. Shorikov , M. A. Korotin

Members of the DFT+U family of functionals are increasingly prevalent methods of addressing errors intrinsic to (semi-) local exchange-correlation functionals at minimum computational cost, but require their parameters U and J to be…

Computational Physics · Physics 2024-07-30 Lórien MacEnulty , Matteo Giantomassi , Bernard Amadon , Gian-Marco Rignanese , David D. O'Regan

The effective on-site Coulomb interaction (Hubbard $U$) between 5$f$ electrons in actinide metals (Th-Cf) is calculated with the framework of density-functional theory (DFT) using linear response approach. The $U$ values seldom rely on the…

Materials Science · Physics 2020-01-14 Ruizhi Qiu , Bingyun Ao , Li Huang

We present a new method to obtain interaction part of a model Hamiltonian from the result of the first-principles calculation. The effective interaction contained in the model is determined based on the random phase approximation (RPA). In…

Materials Science · Physics 2017-04-26 Hirofumi Sakakibara , Seung Woo Jang , Hiori Kino , Myung Joon Han , Kazuhiko Kuroki , Takao Kotani

Density functional theory augmented with a Hubbard correction (DFT+U) is widely used to treat localized electronic states, but its predictions are often sensitive to the choice of the local projection space defining the correlated subspace.…

Strongly Correlated Electrons · Physics 2026-04-13 Manjula Raman , Kenneth Park

The effective on-site Coulomb interaction (Hubbard $U$) between localized electrons at crystal surfaces is expected to be enhanced due to the reduced coordination number and reduced subsequent screening. By means of first principles…

Strongly Correlated Electrons · Physics 2015-06-11 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel

We present an approach that combines the local density approximation (LDA) and the dynamical mean-field theory (DMFT) in the framework of the full-potential linear augmented plane waves (FLAPW) method. Wannier-like functions for the…

Attempts to go beyond the local density approximation (LDA) of Density Functional Theory (DFT) have been increasingly based on the incorporation of more realistic Coulomb interactions. In their earliest implementations, methods like…

Strongly Correlated Electrons · Physics 2009-11-13 Jean-Pierre Julien , Jian-Xin Zhu , Robert C. Albers

Despite its widespread use, the predictive accuracy of density functional theory (DFT) is hampered by delocalization errors, especially for correlated systems such as transition-metal complexes. Two complementary tuning strategies have been…

Materials Science · Physics 2022-04-11 Yael Cytter , Aditya Nandy , Akash Bajaj , Heather J. Kulik

In correlated electron materials, the application of many-body techniques for the study of interaction effects or unconventional superconductivity often requires the formulation of an effective low-energy model that contains only the…

Strongly Correlated Electrons · Physics 2013-05-30 Carsten Honerkamp

The frequency-dependent response of a one-dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT-LDA, and in particular CDFT-LDA, reproduces very well the…

Strongly Correlated Electrons · Physics 2010-04-01 Michael Dzierzawa , Ulrich Eckern , Stefan Schenk , Peter Schwab

In this work we reexamine the LDA+U method of Anisimov and coworkers in the framework of a plane-wave pseudopotential approach. A simplified rotational-invariant formulation is adopted. The calculation of the Hubbard U entering the…

Materials Science · Physics 2009-11-10 Matteo Cococcioni , Stefano de Gironcoli

The relativistic local density approximation (LDA) for the Coulomb exchange functional in nuclear systems is presented. This approximation is composed of the well-known Slater approximation in the non-relativistic scheme and the corrections…

Nuclear Theory · Physics 2013-04-02 Huai-Qiang Gu , Haozhao Liang , Wen Hui Long , Nguyen Van Giai , Jie Meng