Hubbard-U calculations for Cu from first-principles Wannier functions

Details Hubbard-U calculations for Cu from first-principles Wannier functions Hubbard-U calculations for Cu from first-principles Wannier functions

2001-09-17

arxiv.org/abs/cond-mat/0109303v1

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 8 figures, 5 tables

Scientific paper

10.1103/PhysRevB.65.075103

We present first-principles calculations of optimally localized Wannier functions for Cu and use these for an ab-initio determination of Hubbard (Coulomb) matrix elements. We use a standard linearized muffin-tin orbital calculation in the atomic-sphere approximation (LMTO-ASA) to calculate Bloch functions, and from these determine maximally localized Wannier functions using a method proposed by Marzari and Vanderbilt. The resulting functions were highly localized, with greater than 89% of the norm of the function within the central site for the occupied Wannier states. Two methods for calculating Coulomb matrix elements from Wannier functions are presented and applied to fcc Cu. For the unscreened on-site Hubbard $U$ for the Cu 3d-bands we have obtained about 25eV. These results are also compared with results obtained from a constrained local-density approximation (LDA) calculation.

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