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The IP-theorem of the Kohn-Sham (KS) density functional theory (DFT) states that the energy of the highest occupied molecular orbital (HOMO) $\epsilon_{HOMO}$ equals the negative of the first ionization potential (IP), thus ascribing a…

Mesoscale and Nanoscale Physics · Physics 2021-11-16 Vladimir U. Nazarov

It is demonstrated that the commonly applied self interaction correction (SIC) used in density functional theory does not remove all self interaction. We present as an alternative a novel method which, by construction, is totally free from…

Materials Science · Physics 2007-05-23 Urban Lundin , Olle Eriksson

We describe the behavior of the Perdew-Zunger self-interaction-corrected local density approximation (SIC-LDA) functional when implemented in a plane-wave pseudopotential formalism with Wannier functions. Prototypical semiconductors and…

Other Condensed Matter · Physics 2011-03-03 Massimiliano Stengel , Nicola A. Spaldin

In approximate density functional theory (DFT), the self-interaction error is an electron delocalization anomaly associated with underestimated insulating gaps. It exhibits a predominantly quadratic energy-density curve that is amenable to…

Chemical Physics · Physics 2016-12-21 Glenn Moynihan , Gilberto Teobaldi , David D. O'Regan

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

We conduct a detailed investigation of the polaron self-interaction (pSI) error in standard approximations to the exchange-correlation (XC) functional within density-functional theory (DFT). The pSI leads to delocalization error in the…

Materials Science · Physics 2020-08-03 Babak Sadigh , Paul Erhart , Daniel Åberg

We studied the effect of self-interaction error (SIE) on the static dipole polarizabilities of water clusters modelled with three increasingly sophisticated, non-empirical density functional approximations (DFAs), viz. the local spin…

Chemical Physics · Physics 2020-10-01 Sharmin Akter , Yoh Yamamoto , Carlos M. Diaz , Koblar A. Jackson , Rajendra R. Zope , Tunna Baruah

Density functional theory (DFT) and beyond-DFT methods are often used in combination with photoelectron spectroscopy to obtain physical insights into the electronic structure of molecules and solids. The Kohn-Sham eigenvalues are not…

We examine the role of self-interaction errors (SIE) removal on the evaluation of magnetic exchange coupling constants. In particular we analyze the effect of scaling down the self-interaction-correction (SIC) for three {\em non-empirical}…

We propose a simplification of the Optimized Effective Potential (OEP) applied to the Self Interaction Correction (SIC) scheme of Density Functional Theory (DFT). The new scheme fulfills several key formal properties and turns out to be…

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

Incorporating self-interaction corrections (SIC) significantly improves chemical reaction barrier height predictions made using density functional theory methods. We present a detailed, orbital-by-orbital analysis of these corrections for…

Chemical Physics · Physics 2026-01-19 Yashpal Singh , Juan E Peralta , Koblar Alan Jackson

Self-consistent calculations using the Perdew-Zunger self-interaction correction (PZ-SIC) to local density and gradient dependent energy functionals are presented for the binding energy and equilibrium geometry of small molecules as well as…

Atomic and Molecular Clusters · Physics 2013-08-30 Simon Klüpfel , Peter Klüpfel , Hannes Jónsson

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

Qualitatively incorrect results are obtained for the Mn dimer in density functional theory calculations using the generalized gradient approximation (GGA) and similar results are obtained from local density and meta-GGA functionals. The…

Chemical Physics · Physics 2021-05-18 Aleksei V. Ivanov , Tushar K. Ghosh , Elvar Ö. Jónsson , Hannes Jónsson

We present an atomic orbital based approximate scheme for self-interaction correction (SIC) to the local density approximation of density functional theory. The method, based on the idea of Filippetti and Spaldin [Phys. Rev. B 67, 125109…

Strongly Correlated Electrons · Physics 2013-05-29 C. D. Pemmaraju , T. Archer , D. Sanchez-Portal , S. Sanvito

Accurate description of the excess charge in water cluster anions is challenging for standard semi-local and (global) hybrid density functional approximations (DFAs). Using the recent unitary invariant implementation of the Perdew-Zunger…

Chemical Physics · Physics 2020-02-11 Jorge Vargas , Peter Ufondu , Tunna Baruah , Yoh Yamamoto , Koblar A. Jackson , Rajendra R. Zope

A recently proposed local self-interaction correction (LSIC) method [Zope \textit{et al.} J. Chem. Phys., 2019,{\bf 151}, 214108] when applied to the simplest local density approximation provides significant improvement over standard…

Chemical Physics · Physics 2021-02-24 Selim Romero , Yoh Yamamoto , Tunna Baruah , Rajendra R. Zope

We present a fully variational locally scaled self-interaction corrected (SIC) energy functional using complex optimal orbitals. This represents an important milestone for fully variational SIC energy functionals, which have been shown to…

Despite its widespread use, density functional theory (DFT) has several notable areas of failure; perhaps the most well-studied of these failures is self-interaction error (SIE). Density corrected DFT (DC-DFT) was proposed as a potential…

Chemical Physics · Physics 2023-06-28 Devin J. Hernandez , Adam Rettig , Martin Head-Gordon

Recently developed locally scaled self-interaction correction (LSIC) is a one-electron SIC method that, when used with a ratio of kinetic energy densities (z$_\sigma$) as iso-orbital indicator, performs remarkably well for both…

Chemical Physics · Physics 2024-01-31 Rajendra R. Zope , Yoh Yamamoto , Tunna Baruah