Calculations of Hubbard U from first-principles

Abstract

The Hubbard \emph{U} of the \emph{3d} transition metal series as well as SrVO${}_3$, YTiO${}_3$, Ce and Gd has been estimated using a recently proposed scheme based on the random-phase approximation. The values obtained are generally in good accord with the values often used in model calculations but for some cases the estimated values are somewhat smaller than those used in the literature. We have also calculated the frequency-dependent \emph{U} for some of the materials. The strong frequency dependence of \emph{U} in some of the cases considered in this paper suggests that the static value of \emph{U} may not be the most appropriate one to use in model calculations. We have also made comparison with the constrained LDA method and found some discrepancies in a number of cases. We emphasize that our scheme and the constrained LDA method theoretically ought to give similar results and the discrepancies may be attributed to technical difficulties in performing calculations based on currently implemented constrained LDA schemes.

24 pages, 13 figures; Submitted to Phys. Rev. B

References in corpus (7)

• Maximally-localized generalized Wannier functions for composite energy bands
• A linear response approach to the calculation of the effective interaction parameters in the LDA+U method
• The GW method
• Frequency-dependent local interactions and low-energy effective models from electronic structure calculations
• Muffin Tin Orbitals of Arbitrary Order
• Mott transition and suppression of orbital fluctuations in orthorhombic 3$d^1$ perovskites
• Screening of Coulomb interactions in transition metals

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