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Standard spin-density functionals for the exchange-correlation energy of a many-electron ground state make serious self-interaction errors which can be corrected by the Perdew-Zunger self-interaction correction (SIC). We propose a…

Materials Science · Physics 2014-01-28 Mark R Pederson , Adrienn Ruzsinszky , John P. Perdew

In effective single-electron theories, self-interaction manifests itself through the unphysical dependence of the energy of an electronic state as a function of its occupation, which results in important deviations from the ideal Koopmans…

Materials Science · Physics 2009-01-20 I. Dabo , M. Cococcioni , N. Marzari

Semi-local approximations to the density functional for the exchange-correlation energy of a many-electron system necessarily fail for lobed one-electron densities, including not only the familiar stretched densities but also the less…

Semi-local density functionals for the exchange-correlation energy of a many-electron system cannot be exact for all one-electron densities. In 1981, Perdew and Zunger (PZ) subtracted the fully-nonlocal self-interaction error…

Chemical Physics · Physics 2019-04-26 Biswajit Santra , John P. Perdew

The Perdew-Zunger(PZ) self-interaction correction (SIC) was designed to correct the one-electron limit of any approximate density functional for the exchange-correlation (xc) energy, while yielding no correction to the exact functional.…

Perdew-Zunger self-interaction correction (PZSIC) reintroduces an exact constraint to approximate density functional theory (DFT), but can paradoxically degrade performance and is not systematically improvable. We use the Adiabatic…

Chemical Physics · Physics 2023-05-16 Benjamin G. Janesko

Self-interaction (SI) error, which results when exchange-correlation contributions to the total energy are approximated, limits the reliability of many density functional approximations. The Perdew-Zunger SI correction (PZSIC), when applied…

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

Semilocal density-functional approximations (DFAs), including the state-of-the-art SCAN functional, are plagued by the self-interaction error (SIE). While this error is explicitly defined only for one-electron systems, it has inspired the…

Materials Science · Physics 2024-01-23 Sheng Bi , Christian Carbogno , Igor Ying Zhang , Matthias Scheffler

(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…

The Perdew-Zunger self-interaction correction(PZ-SIC) improves the performance of density functional approximations(DFAs) for the properties that involve significant self-interaction error(SIE), as in stretched bond situations, but…

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

We extend some of the well established self-interaction correction (SIC) schemes of density-functional theory to the case of systems with noncollinear magnetism. Our proposed SIC schemes are tested on a set of molecules and metallic…

Chemical Physics · Physics 2023-10-31 Nicolas Tancogne-Dejean , Martin Lüders , Carsten A. Ullrich

Most widely used density functional approximations suffer from self-interaction (SI) error, which can be corrected using the Perdew-Zunger (PZ) self-interaction correction (SIC). We implement the recently proposed size-extensive formulation…

Chemical Physics · Physics 2021-12-07 Carlos M. Diaz , Phanish Suryanarayana , Qimen Xu , Tunna Baruah , John Pask , Rajendra Zope

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

We present a self-interaction-corrected (SIC) density-functional-theory (DFT) approach for the description of systems with an unpaired electron or hole such as spin 1/2 defect-centers in solids or radicals. Our functional is…

Materials Science · Physics 2009-11-10 Mayeul d'Avezac , Matteo Calandra , Francesco Mauri

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 unify the Perdew-Zunger self-interaction correction (PZSIC) to approximate density functional theory (DFT), the Hubbard correction DFT+U, and Rung 3.5 functionals within the Adiabatic Projection formalism. We modify the Kohn-Sham…

Chemical Physics · Physics 2023-05-16 Benjamin G. Janesko

Recently proposed local self-interaction correction (LSIC) method [Zope, R. R. et al., J. Chem. Phys. 151, 214108 (2019)] is a one-electron self-interaction-correction (SIC) method that uses an iso-orbital indicator to apply the SIC at each…

Chemical Physics · Physics 2023-02-22 Yoh Yamamoto , Tunna Baruah , Po-Hao Chang , Selim Romero , Rajendra R. Zope

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
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