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Local-spin-density functional calculations may be affected by severe errors when applied to the study of magnetic and strongly-correlated materials. Some of these faults can be traced back to the presence of the spurious self-interaction in…

Materials Science · Physics 2009-11-10 Alessio Filippetti , Nicola Spaldin

The Fermi-L\"owdin orbital (FLO) approach to the Perdew-Zunger self-interaction correction (PZ-SIC) to density functional theory (DFT) is described and an improved approach to the problem of optimizing the Fermi-orbitals in order to…

Chemical Physics · Physics 2019-10-24 K. A. Jackson , J. E. Peralta , R. P. Joshi , K. P. Withanage , K. Trepte , K. Sharkas , A. I. Johnson

(Semi)-local density functional approximations (DFAs) suffer from self-interaction error (SIE). When the first ionization energy (IE) is computed as the negative of the highest-occupied orbital (HO) eigenvalue, DFAs notoriously…

In a recent article, we showed how the properties of the density-density correlation function and its integral, the local structure factor, in the fluid interfacial region, in systems with short-ranged forces, can be understood…

Soft Condensed Matter · Physics 2019-11-20 Andrew O. Parry , Carlos Rascón

We present the formulation and implementation of the Integral-Screened Configuration-Interaction method (ISCI). The ISCI is a minimal-operational count integral-driven direct Configuration-Interaction (CI) method with a simple and rigorous…

Chemical Physics · Physics 2016-09-27 Lasse Kragh Sørensen , Sebastian Bauch , Lars Bojer Madsen

The cluster-in-molecule (CIM) local correlation approach with an accurate distant pair correlation energy correction is presented. For large systems, the inclusion of distant pair correlation energies is essential for the accurate…

Chemical Physics · Physics 2020-08-06 Zhigang Ni , Yang Guo , Frank Neese , Wei Li , Shuhua Li

The delocalization error of popular density functional approximations (DFAs) leads to diversified problems in present-day density functional theory calculations. For achieving a universal elimination of delocalization error, we develop a…

Chemical Physics · Physics 2017-09-07 Chen Li , Xiao Zheng , Neil Qiang Su , Weitao Yang

Self-interaction error (SIE), arising from the imperfect cancellation of the spurious classical Coulomb interaction between an electron and itself, is a persistent challenge in modern density functional approximations. This issue is…

A recent modification of the Perdew-Zunger self-interaction-correction (SIC) to the density-functional formalism (Pederson, Ruzsinszky, Perdew) has provided a framework for explicitly restoring unitary invariance to the expression for the…

Chemical Physics · Physics 2015-06-23 Mark R. Pederson

We discuss various ways to handle self-interaction corrections (SIC) to Density Functional Theory (DFT) calculations. To that end, we use a simple model of few particles in a finite number of states together with a simple zero-range…

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

Linear scaling methods for density-functional theory (DFT) simulations are formulated in terms of localised orbitals in real-space, rather than the delocalised eigenstates of conventional approaches. In local-orbital methods, relative to…

Materials Science · Physics 2011-05-30 N. D. M. Hine , M. Robinson , P. D. Haynes , C. -K. Skylaris , M. C. Payne , A. A. Mostofi

Despite the great success Kohn-Sham density functional theory (KS-DFT) has achieved, the delocalization error remains a major challenge for commonly used density functional approximations (DFAs), resulting in systematic errors in ionization…

Chemical Physics · Physics 2026-02-12 Yichen Fan , Jincheng Yu , Jiayi Du , Weitao Yang

Structural and thermodynamic properties of ionic fluids are related to those of a simpler ``mimic'' system with short ranged intermolecular interactions in a spatially varying effective field by use of Local Molecular Field (LMF) theory,…

Statistical Mechanics · Physics 2007-05-23 Yng-gwei Chen , Charanbir Kaur , John D. Weeks

In a recent article, we described how the microscopic structure of density-density correlations in the fluid interfacial region, for systems with short-ranged forces, can be understood by considering the resonances of the local structure…

Statistical Mechanics · Physics 2019-09-04 Andrew O. Parry , Carlos Rascón

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

Chemical Physics · Physics 2009-11-10 Stephan Kümmel , John P. Perdew

The complete active space self-consistent field (CASSCF) method is the principal approach employed for studying strongly correlated systems. However, exact CASSCF can only be performed on small active spaces of ~20 electrons in ~20 orbitals…

Computational Physics · Physics 2021-12-22 Daniel S. Levine , Diptarka Hait , Norm M. Tubman , Susi Lehtola , K. Birgitta Whaley , Martin Head-Gordon

The correction of the self-interaction error (SIE) that is inherent to all standard density functional theory (DFT) calculations is an object of increasing interest. In this article we apply the very recently developed Fermi-orbital based…

Computational Physics · Physics 2016-01-20 Torsten Hahn , Simon Liebing , Jens Kortus , Mark R. Pederson

We applied localized orbital scaling correction (LOSC) in Bethe-Salpeter equation (BSE) to predict accurate excitation energies for molecules. LOSC systematically eliminates the delocalization error in the density functional approximation…

Chemical Physics · Physics 2022-07-04 Jiachen Li , Ye Jin , Neil Qiang Su , Weitao Yang

In all applications of Density Functional Theory there is always a degree of one-electron self-interaction error (SIE). Here, we propose a simple self-interaction correction by applying an effective core potential (ECP) that replaces no…

Chemical Physics · Physics 2024-07-25 Dale R. Lonsdale , Lars Goerigk

We present a novel theoretical scheme for orbital relaxation in configuration interaction singles (CIS) based on a perturbative treatment of its electronic Hessian, whose analytical derivation is also established in this work. The proposed…

Chemical Physics · Physics 2026-03-06 Takashi Tsuchimochi