Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations

Lehtola, Susi; Head-Gordon, Martin; Jónsson, Hannes

doi:10.1021/acs.jctc.6b00347

Title: Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations

Abstract

Implentation of seminumerical stability analysis for calculations using the Perdew-Zunger self-interaction correction is described. It is shown that real-valued solutions of the Perdew-Zunger equations for gas phase atoms are unstable with respect to imaginary orbital rotations, confirming that a proper implementation of the correction requires complex-valued orbitals. The orbital density dependence of the self-interaction corrected functional is found to lead to multiple local minima in the case of the acrylic acid, H₆, and benzene molecules. Finally, in the case of benzene, symmetry breaking that results in incorrect ground state geometry is found to occur, erroneously leading to alternating bond lengths in the molecule.

Authors:

Lehtola, Susi ^[1]; Head-Gordon, Martin ^[2]; Jónsson, Hannes ^[3]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division
Univ. of California, Berkeley, CA (United States). Dept. of Chemistry; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division
Univ. of Iceland, Reykjavík (Iceland); Aalto Univ., Espoo (Finland). Dept. of Applied Physics

Publication Date:: 2016-06-14

Research Org.:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1478340

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Chemical Theory and Computation

Additional Journal Information:: Journal Volume: 12; Journal Issue: 7; Journal ID: ISSN 1549-9618

Publisher:: American Chemical Society

Country of Publication:: United States

Language:: English

Subject:: 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats


                    Lehtola, Susi, Head-Gordon, Martin, and Jónsson, Hannes. Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations.  United States: N. p., 2016. 
        Web.  doi:10.1021/acs.jctc.6b00347.

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                    Lehtola, Susi, Head-Gordon, Martin, & Jónsson, Hannes. Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations.  United States.  doi:https://doi.org/10.1021/acs.jctc.6b00347

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                    Lehtola, Susi, Head-Gordon, Martin, and Jónsson, Hannes. Tue .  
        "Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations".  United States.  doi:https://doi.org/10.1021/acs.jctc.6b00347.  https://www.osti.gov/servlets/purl/1478340.

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@article{osti_1478340,

  title        = {Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations},

  author       = {Lehtola, Susi and Head-Gordon, Martin and Jónsson, Hannes},

  abstractNote = {Implentation of seminumerical stability analysis for calculations using the Perdew-Zunger self-interaction correction is described. It is shown that real-valued solutions of the Perdew-Zunger equations for gas phase atoms are unstable with respect to imaginary orbital rotations, confirming that a proper implementation of the correction requires complex-valued orbitals. The orbital density dependence of the self-interaction corrected functional is found to lead to multiple local minima in the case of the acrylic acid, H6, and benzene molecules. Finally, in the case of benzene, symmetry breaking that results in incorrect ground state geometry is found to occur, erroneously leading to alternating bond lengths in the molecule.},

  doi          = {10.1021/acs.jctc.6b00347},

  journal      = {Journal of Chemical Theory and Computation},

  number       = 7,

  volume       = 12,

  place        = {United States},

  year         = {2016},

  month        = {6}

}

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DOI: https://doi.org/10.1021/acs.jctc.6b00347

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Title: Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations

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