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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

Perdew-Zunger self-interaction correction (PZ-SIC) offers a route to remove self-interaction errors on an orbital-by-orbital basis. A recent formulation of PZ-SIC by Pederson, Ruzsinszky and Perdew proposes restricting the unitary…

Chemical Physics · Physics 2021-12-07 Carlos M. Diaz , Tunna Baruah , Rajendra R. Zope

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

The Perdew-Zunger self-interaction correction cures many common problems associated with semilocal density functionals, but suffers from a size-extensivity problem when Kohn-Sham orbitals are used in the correction. Fermi-L\"{o}wdin-orbital…

Computational Physics · Physics 2017-06-30 Zeng-hui Yang , Mark R. Pederson , John P. Perdew

Fermi-L\"owdin orbital self-interaction-correction (FLOSIC) method uses symmetric orthogonalized Fermi orbitals as localized orbitals in one-electron SIC schemes. In FLOSIC, a set of Fermi orbital descriptors (FOD) that define the FLOs is…

Chemical Physics · Physics 2025-08-08 Selim Romero , Yoh Yamamoto , Tunna Baruah , Rajendra R. Zope

Despite the success of density functional approximations (DFAs) in describing the electronic properties of many-electron systems, the most widely used approximations suffer from self-interaction errors (SIE) that limit their predictive…

Chemical Physics · Physics 2020-01-08 Yoh Yamamoto , Carlos M. Diaz , Luis Basurto , Koblar A. Jackson , Tunna Baruah , Rajendra R. Zope

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

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…

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

(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…

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

We investigate from a practitioner's point of view the computation of the ionization potential (IP) within density functional theory (DFT). DFT with (semi-)local energy-density functionals is plagued by a self-interaction error which…

Atomic and Molecular Clusters · Physics 2015-06-16 Peter Klüpfel , Mai Phuong Dinh , Paul-Gerhard Reinhard , Eric Suraud

The Perdew-Zunger (PZ) self-interaction correction (SIC) is an established tool to correct unphysical behavior in density functional approximations. Yet, PZ-SIC is well-known to sometimes break molecular symmetries. An example of this is…

Chemical Physics · Physics 2024-10-28 Sebastian Schwalbe , Wanja Timm Schulze , Kai Trepte , Susi Lehtola

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

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

The Perdew-Zunger (PZ) method provides a way to remove the self-interaction (SI) error from density functional approximations on an orbital by orbital basis. The PZ method provides significant improvements for the properties such as barrier…

Chemical Physics · Physics 2020-05-20 Yoh Yamamoto , Selim Romero , Tunna Baruah , Rajendra R. Zope

We investigate the electronic structure of a planar mononuclear Cu-based molecule [Cu(C$_6$H$_4$S$_2$)$_2$]$^z$ in two oxidation states ($z$$=$$-2$, $-$1) using density-functional theory (DFT) with Fermi-L\"owdin orbital (FLO)…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Anri Karanovich , Yoh Yamamoto , Koblar Alan Jackson , Kyungwha Park

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

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…

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