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Title: Towards efficient density functional theory calculations without self-interaction: The Fermi-Löwdin orbital self-interaction correction

Abstract

The Fermi-Löwdin 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 minimize the DFT-SIC total energy is introduced. To illustrate the use of the FLO-SIC method, results are given for several applications involving problems where self-interaction errors are pronounced.

Authors:
 [1];  [1];  [1];  [1];  [1];  [1];  [1]
  1. Central Michigan Univ., Mount Pleasant, MI (United States)
Publication Date:
Research Org.:
Central Michigan Univ., Mount Pleasant, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
OSTI Identifier:
1781833
Grant/Contract Number:  
SC0018331
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. Conference Series
Additional Journal Information:
Journal Volume: 1290; Journal ID: ISSN 1742-6588
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Jackson, K. A., Peralta, J. E., Joshi, R. P., Withanage, K. P., Trepte, K., Sharkas, K., and Johnson, A. I. Towards efficient density functional theory calculations without self-interaction: The Fermi-Löwdin orbital self-interaction correction. United States: N. p., 2019. Web. doi:10.1088/1742-6596/1290/1/012002.
Jackson, K. A., Peralta, J. E., Joshi, R. P., Withanage, K. P., Trepte, K., Sharkas, K., & Johnson, A. I. Towards efficient density functional theory calculations without self-interaction: The Fermi-Löwdin orbital self-interaction correction. United States. https://doi.org/10.1088/1742-6596/1290/1/012002
Jackson, K. A., Peralta, J. E., Joshi, R. P., Withanage, K. P., Trepte, K., Sharkas, K., and Johnson, A. I. Wed . "Towards efficient density functional theory calculations without self-interaction: The Fermi-Löwdin orbital self-interaction correction". United States. https://doi.org/10.1088/1742-6596/1290/1/012002. https://www.osti.gov/servlets/purl/1781833.
@article{osti_1781833,
title = {Towards efficient density functional theory calculations without self-interaction: The Fermi-Löwdin orbital self-interaction correction},
author = {Jackson, K. A. and Peralta, J. E. and Joshi, R. P. and Withanage, K. P. and Trepte, K. and Sharkas, K. and Johnson, A. I.},
abstractNote = {The Fermi-Löwdin 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 minimize the DFT-SIC total energy is introduced. To illustrate the use of the FLO-SIC method, results are given for several applications involving problems where self-interaction errors are pronounced.},
doi = {10.1088/1742-6596/1290/1/012002},
journal = {Journal of Physics. Conference Series},
number = ,
volume = 1290,
place = {United States},
year = {Wed Oct 30 00:00:00 EDT 2019},
month = {Wed Oct 30 00:00:00 EDT 2019}
}

Works referenced in this record:

Effect of the Perdew–Zunger self-interaction correction on the thermochemical performance of approximate density functionals
journal, January 2004

  • Vydrov, Oleg A.; Scuseria, Gustavo E.
  • The Journal of Chemical Physics, Vol. 121, Issue 17
  • DOI: 10.1063/1.1794633

The (.mu.-oxo)bis[trichloroferrate(III)] dianion revisited
journal, March 1993

  • Haselhorst, Gabriele; Wieghardt, Karl; Keller, Stefan
  • Inorganic Chemistry, Vol. 32, Issue 5
  • DOI: 10.1021/ic00057a006

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

The role of databases in support of computational chemistry calculations
journal, October 1996


Shrinking Self-Interaction Errors with the Fermi–Löwdin Orbital Self-Interaction-Corrected Density Functional Approximation
journal, November 2018

  • Sharkas, Kamal; Li, Lin; Trepte, Kai
  • The Journal of Physical Chemistry A, Vol. 122, Issue 48
  • DOI: 10.1021/acs.jpca.8b09940

Valence bond description of antiferromagnetic coupling in transition metal dimers
journal, May 1981

  • Noodleman, Louis
  • The Journal of Chemical Physics, Vol. 74, Issue 10
  • DOI: 10.1063/1.440939

How Accurate Is Density Functional Theory at Predicting Dipole Moments? An Assessment Using a New Database of 200 Benchmark Values
journal, March 2018

  • Hait, Diptarka; Head-Gordon, Martin
  • Journal of Chemical Theory and Computation, Vol. 14, Issue 4
  • DOI: 10.1021/acs.jctc.7b01252

Self-consistent self-interaction corrected density functional theory calculations for atoms using Fermi-Löwdin orbitals: Optimized Fermi-orbital descriptors for Li–Kr
journal, October 2017

  • Kao, Der-you; Withanage, Kushantha; Hahn, Torsten
  • The Journal of Chemical Physics, Vol. 147, Issue 16
  • DOI: 10.1063/1.4996498

On the Question of the Total Energy in the Fermi–Löwdin Orbital Self-Interaction Correction Method
journal, June 2018

  • Withanage, Kushantha P. K.; Trepte, Kai; Peralta, Juan E.
  • Journal of Chemical Theory and Computation, Vol. 14, Issue 8
  • DOI: 10.1021/acs.jctc.8b00344

Spurious fractional charge on dissociated atoms: Pervasive and resilient self-interaction error of common density functionals
journal, November 2006

  • Ruzsinszky, Adrienn; Perdew, John P.; Csonka, Gábor I.
  • The Journal of Chemical Physics, Vol. 125, Issue 19
  • DOI: 10.1063/1.2387954

Full self-consistency in the Fermi-orbital self-interaction correction
journal, May 2017


Fermi-Löwdin orbital self-interaction correction to magnetic exchange couplings
journal, October 2018

  • Joshi, Rajendra P.; Trepte, Kai; Withanage, Kushantha P. K.
  • The Journal of Chemical Physics, Vol. 149, Issue 16
  • DOI: 10.1063/1.5050809

About the calculation of exchange coupling constants using density-functional theory: The role of the self-interaction error
journal, October 2005

  • Ruiz, Eliseo; Alvarez, Santiago; Cano, Joan
  • The Journal of Chemical Physics, Vol. 123, Issue 16
  • DOI: 10.1063/1.2085171

Self-interaction correction to density-functional approximations for many-electron systems
journal, May 1981


Fermi orbital derivatives in self-interaction corrected density functional theory: Applications to closed shell atoms
journal, February 2015

  • Pederson, Mark R.
  • The Journal of Chemical Physics, Vol. 142, Issue 6
  • DOI: 10.1063/1.4907592

Magnetic Exchange Couplings in Heterodinuclear Complexes Based on Differential Local Spin Rotations
journal, March 2016

  • Joshi, Rajendra P.; Phillips, Jordan J.; Peralta, Juan E.
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 4
  • DOI: 10.1021/acs.jctc.6b00112

On the Non‐Orthogonality Problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals
journal, March 1950

  • Löwdin, Per‐Olov
  • The Journal of Chemical Physics, Vol. 18, Issue 3
  • DOI: 10.1063/1.1747632

Strongly Constrained and Appropriately Normed Semilocal Density Functional
journal, July 2015


Local Noncollinear Spin Analysis
journal, November 2017

  • Abate, Bayileyegn A.; Joshi, Rajendra P.; Peralta, Juan E.
  • Journal of Chemical Theory and Computation, Vol. 13, Issue 12
  • DOI: 10.1021/acs.jctc.7b01022

Communication: Self-interaction correction with unitary invariance in density functional theory
journal, March 2014

  • Pederson, Mark R.; Ruzsinszky, Adrienn; Perdew, John P.
  • The Journal of Chemical Physics, Vol. 140, Issue 12
  • DOI: 10.1063/1.4869581