Hubbard-corrected DFT energy functionals: The LDA+U description of correlated systems

Authors

  • Burak Himmetoglu,

    1. Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA
    Current affiliation:
    1. University of California, Santa Barbara, Department of Materials Engineering
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  • Andrea Floris,

    1. Department of Physics, King's College London, England, United Kingdom
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  • Stefano de Gironcoli,

    1. Scuola Internazionale Superiore di Studi Avanzati (SISSA), via Bonomea 265, I-34136, Trieste, Italy
    2. CNR-IOM Democritos Simulation Center, via Bonomea 265, I-34136, Trieste, Italy
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  • Matteo Cococcioni

    Corresponding author
    1. Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA
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  • This article was published online on 26 July 2013. An error was subsequently identified. This notice is included in the online and print version to indicate that both have been corrected on 16 August 2013.

Abstract

The aim of this review article is to assess the descriptive capabilities of the Hubbard-rooted LDA+U method and to clarify the conditions under which it can be expected to be most predictive. The article illustrates the theoretical foundation of LDA+U and prototypical applications to the study of correlated materials, discusses the most relevant approximations used in its formulation, and makes a comparison with other approaches also developed for similar purposes. Open “issues” of the method are also discussed, including the calculation of the electronic couplings (the Hubbard U), the precise expression of the corrective functional and the possibility to use LDA+U for other classes of materials. The second part of the article presents recent extensions to the method and illustrates the significant improvements they have obtained in the description of several classes of different systems. The conclusive section finally discusses possible future developments of LDA+U to further enlarge its predictive power and its range of applicability. © 2013 Wiley Periodicals, Inc.

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