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Self-consistent Hubbard parameters from density-functional perturbation theory in the ultrasoft and projector-augmented wave formulations

Iurii Timrov1*, Nicola Marzari1*, Matteo Cococcioni2*

1 Theory and Simulation of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

2 Department of Physics, University of Pavia, via Bassi 6, I-27100 Pavia, Italy

* Corresponding authors emails: iurii.timrov@epfl.ch, nicola.marzari@epfl.ch, matteo.cococcioni@unipv.it
DOI10.24435/materialscloud:vp-wm [version v1]

Publication date: Nov 09, 2020

How to cite this record

Iurii Timrov, Nicola Marzari, Matteo Cococcioni, Self-consistent Hubbard parameters from density-functional perturbation theory in the ultrasoft and projector-augmented wave formulations, Materials Cloud Archive 2020.143 (2020), doi: 10.24435/materialscloud:vp-wm.

Description

The self-consistent evaluation of Hubbard parameters using linear-response theory is crucial for quantitatively predictive calculations based on Hubbard-corrected density-functional theory. Here, we extend a recently-introduced approach based on density-functional perturbation theory (DFPT) for the calculation of the on-site Hubbard U to also compute the inter-site Hubbard V. DFPT allows to reduce significantly computational costs, improve numerical accuracy, and fully automate the calculation of the Hubbard parameters by recasting the linear response of a localized perturbation into an array of monochromatic perturbations that can be calculated in the primitive cell. In addition, here we generalize the entire formalism from norm-conserving to ultrasoft and projector-augmented wave formulations, and to metallic ground states. After benchmarking DFPT against the conventional real-space Hubbard linear response in a supercell, we demonstrate the effectiveness of the present extended Hubbard formulation in determining the equilibrium crystal structure of LiₓMnPO₄ (x=0,1) and the subtle energetics of Li intercalation.

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Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
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External references

Journal reference
I. Timrov, N. Marzari, M. Cococcioni, submitted to Phys. Rev. B (2020).
Preprint (Preprint where the method is described)
I. Timrov, N. Marzari, M. Cococcioni, "Self-consistent Hubbard parameters from density-functional perturbation theory in the ultrasoft and projector-augmented wave formulations", arXiv:2011.03271.

Keywords

Density-functional perturbation theory Hubbard-corrected density-functional theory extended Hubbard functionals self-interaction corrections Hubbard on-site U and inter-site V parameters CSCS MARVEL ultrasoft pseudopotentials projector-augmented wave method Li-ion batteries voltages LiMnPO4 MnPO4 linear-response theory monochromatic perturbations

Version history:

2020.143 (version v1) [This version] Nov 09, 2020 DOI10.24435/materialscloud:vp-wm