English

Partly occupied Wannier functions: Construction and applications

Materials Science 2009-11-11 v1

Abstract

We have developed a practical scheme to construct partly occupied, maximally localized Wannier functions (WFs) for a wide range of systems. We explain and demonstrate how the inclusion of selected unoccupied states in the definition of the WFs can improve both their localization and symmetry properties. A systematic selection of the relevant unoccupied states is achieved by minimizing the spread of the resulting WFs. The method is applied to a silicon cluster, a copper crystal, and a Cu(100) surface with nitrogen adsorbed. In all cases we demonstrate the existence of a set of WFs with particularly good localization and symmetry properties, and we show that this set of WFs is characterized by a maximal average localization.

Cite

@article{arxiv.cond-mat/0506487,
  title  = {Partly occupied Wannier functions: Construction and applications},
  author = {K. S. Thygesen and L. B. Hansen and K. W. Jacobsen},
  journal= {arXiv preprint arXiv:cond-mat/0506487},
  year   = {2009}
}

Comments

12 pages, 14 figures

R2 v1 2026-07-22T11:18:47.255Z