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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

We discuss the applicability of the pseudopotential-like self-interaction correction (pSIC) to the study of defect energetics and electronic structure of In2O3. Our results predict that substitutional (at oxygen sites) and interstitial (at…

Materials Science · Physics 2016-06-24 Juan J. Meléndez , Małgorzata Wierzbowska

Strongly correlated systems containing d/f-electrons present a challenge to conventional density functional theory (DFT), such as the widely used local density approximation (LDA) or generalized gradient approximation (GGA). In this work,…

Strongly Correlated Electrons · Physics 2024-01-19 Bei-Lei Liu , Yue-Chao Wang , Yu Liu , Hai-Feng Liu , Hai-Feng Song

We present and test a new approximation for the exchange-correlation (xc) energy of Kohn-Sham density functional theory. It combines exact exchange with a compatible non-local correlation functional. The functional is by construction free…

Chemical Physics · Physics 2014-05-23 Tobias Schmidt , Eli Kraisler , Adi Makmal , Leeor Kronik , Stephan Kümmel

This investigation is a rigorous theoretical study of the Single Differential Cross Section (SDCS) for the ionization of hydrogen in the 3s state by electron impact computed by means of the First-Born Approximation. The transition matrix…

Atomic Physics · Physics 2025-11-11 Fahadul Islam , Sunil Dhar

Tailored coupled cluster theory represents a computationally inexpensive way to describe static and dynamical electron correlation effects. In this work, we scrutinize the performance of various tailored coupled cluster methods externally…

Chemical Physics · Physics 2021-03-24 Aleksandra Leszczyk , Mihály Máté , Örs Legeza , Katharina Boguslawski

The electronic structures of the actinide elements U, Np, Pu, Am, Cm and Bk are investigated within the self-interaction corrected local spin density approximation. This method allows to describe a dual character of the 5f electrons, some…

Strongly Correlated Electrons · Physics 2009-11-11 A. Svane , L. Petit , Z. Szotek , W. M. Temmerman

Gradient compression with error compensation has attracted significant attention with the target of reducing the heavy communication overhead in distributed learning. However, existing compression methods either perform only unidirectional…

Machine Learning · Computer Science 2024-02-20 Yifei Cheng , Li Shen , Linli Xu , Xun Qian , Shiwei Wu , Yiming Zhou , Tie Zhang , Dacheng Tao , Enhong Chen

We introduce a deterministic discrete-particle simulation approach, the Linearly-Transformed Particle-In-Cell (LTPIC) method, that employs linear deformations of the particles to reduce the noise traditionally associated with particle…

Plasma Physics · Physics 2013-04-01 M. Campos Pinto , E. Sonnendrücker , A. Friedman , D. Grote , S. Lund

Standard density functional approximations often give questionable results for odd-electron radical complexes, with the error typically attributed to self-interaction. In density corrected density functional theory (DC-DFT), certain classes…

Chemical Physics · Physics 2015-06-19 Min-Cheol Kim , Eunji Sim , Kieron Burke

A least-squares formulation of the Moving Discontinuous Galerkin Finite Element Method with Interface Condition Enforcement (LS-MDG-ICE) is presented. This method combines MDG-ICE, which uses a weak formulation that separately enforces a…

Numerical Analysis · Mathematics 2020-11-05 Andrew D. Kercher , Andrew Corrigan

Transcorrelation (TC) techniques effectively enhance convergence rates in strongly correlated fermionic systems by embedding electron-electron cusp into the Jastrow factor of similarity transformations, yielding a non-Hermitian, yet…

Quantum Physics · Physics 2025-03-19 Bruna G. M. Araújo , Antonio M S Macedo

An accurate description of electron correlation is one of the most challenging problems in quantum chemistry. The exact electron correlation can be obtained by means of full configuration interaction (FCI). A simple strategy for…

Chemical Physics · Physics 2021-05-14 Jae Woo Park

A few self-consistent schemes to solve the Hedin equations are presented. They include vertex corrections of different complexity. Commonly used quasiparticle approximation for the Green function and static approximation for the screened…

Strongly Correlated Electrons · Physics 2016-10-12 Andrey L. Kutepov

Top quark electroweak interactions serve as a sensitive probe for beyond-Standard-Model physics, potentially exhibiting significant deviations from Standard Model predictions and offering crucial tests of fundamental symmetries in…

High Energy Physics - Phenomenology · Physics 2025-12-16 Xu-Hui Jiang , Yiming Liu , Bin Yan

We discuss an extension of time-dependent density-functional theory by a self-interaction correction (SIC). A strictly variational formulation is given taking care of the necessary constraints. A manageable and transparent propagation…

Other Condensed Matter · Physics 2009-11-13 J. Messud , P. M. Dinh , P. -G. Reinhard , E. Suraud

Finding fast yet accurate numerical solutions to the Helmholtz equation remains a challenging task. The pollution error (i.e. the discrepancy between the numerical and analytical wave number k) requires the mesh resolution to be kept fine…

Numerical Analysis · Mathematics 2021-02-24 Vandana Dwarka , Roel Tielen , Matthias Möller , Kees Vuik

One-electron self-interaction and an incorrect asymptotic behavior of the Kohn-Sham exchange-correlation potential are among the most prominent limitations of many present-day density functionals. However, a one-electron…

Chemical Physics · Physics 2016-07-06 Tobias Schmidt , Eli Kraisler , Leeor Kronik , Stephan Kümmel

An algorithm for first-principles electronic structure calculations having a computational cost which scales linearly with the system size is presented. Our method exploits the real-space localization of the density matrix, and in this…

mtrl-th · Physics 2016-09-07 E. Hernandez , M. J. Gillan

Particle-in-Cell (PIC) simulations rely on accurate solutions of the electrostatic Poisson equation, yet accuracy often deteriorates near irregular Dirichlet boundaries on Cartesian meshes. While much research has addressed discretization…

Numerical Analysis · Mathematics 2026-01-14 Kai Zhang , Tao Xiao , Weizong Wang , Bijiao He