Minimum tracking linear response Hubbard and Hund corrected Density Functional Theory in CP2K

Fuente: arXiv
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Auteurs principaux: Chai, Ziwei, Si, Rutong, Chen, Mingyang, Teobaldi, Gilberto, O'Regan, David D., Liu, Li-Min
Format: Preprint
Publié: 2024
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author Chai, Ziwei
Si, Rutong
Chen, Mingyang
Teobaldi, Gilberto
O'Regan, David D.
Liu, Li-Min
author_facet Chai, Ziwei
Si, Rutong
Chen, Mingyang
Teobaldi, Gilberto
O'Regan, David D.
Liu, Li-Min
contents We present the implementation of the Hubbard ($U$) and Hund ($J$) corrected Density Functional Theory (DFT+$U$+$J$) functionality in the Quickstep program, which is part of the CP2K suite. The tensorial and Löwdin subspace representations are implemented and compared. Full analytical DFT+$U$+$J$ forces are implemented and benchmarked for the tensorial and Löwdin representations. We also present the implementation of the recently proposed minimum-tracking linear-response method that enables the $U$ and $J$ parameters to be calculated on first principles basis without reference to the Kohn-Sham eigensystem. These implementations are benchmarked against recent results for different materials properties including DFT+$U$ band gap opening in NiO, the relative stability of various polaron distributions in TiO$_2$, the dependence of the calculated TiO$_2$ band gap on +$J$ corrections, and, finally, the role of the +$U$ and +$J$ corrections for the computed properties of a series of the hexahydrated transition metals. Our implementation provides results consistent with those already reported in the literature from comparable methods. We conclude the contribution with tests on the influence of the Löwdin orthonormalization on the occupancies, calculated parameters, and derived properties.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13256
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Minimum tracking linear response Hubbard and Hund corrected Density Functional Theory in CP2K
Chai, Ziwei
Si, Rutong
Chen, Mingyang
Teobaldi, Gilberto
O'Regan, David D.
Liu, Li-Min
Strongly Correlated Electrons
Materials Science
Chemical Physics
Computational Physics
Quantum Physics
We present the implementation of the Hubbard ($U$) and Hund ($J$) corrected Density Functional Theory (DFT+$U$+$J$) functionality in the Quickstep program, which is part of the CP2K suite. The tensorial and Löwdin subspace representations are implemented and compared. Full analytical DFT+$U$+$J$ forces are implemented and benchmarked for the tensorial and Löwdin representations. We also present the implementation of the recently proposed minimum-tracking linear-response method that enables the $U$ and $J$ parameters to be calculated on first principles basis without reference to the Kohn-Sham eigensystem. These implementations are benchmarked against recent results for different materials properties including DFT+$U$ band gap opening in NiO, the relative stability of various polaron distributions in TiO$_2$, the dependence of the calculated TiO$_2$ band gap on +$J$ corrections, and, finally, the role of the +$U$ and +$J$ corrections for the computed properties of a series of the hexahydrated transition metals. Our implementation provides results consistent with those already reported in the literature from comparable methods. We conclude the contribution with tests on the influence of the Löwdin orthonormalization on the occupancies, calculated parameters, and derived properties.
title Minimum tracking linear response Hubbard and Hund corrected Density Functional Theory in CP2K
topic Strongly Correlated Electrons
Materials Science
Chemical Physics
Computational Physics
Quantum Physics
url https://arxiv.org/abs/2407.13256