A convergence test of the full-potential linearized augmented plane wave (FLAPW) method: Ferromagnetic bulk bcc Fe

Seung Woo Seo, You Young Song, Gul Rahman, In Gee Kim, M. Weinert, A. J. Freeman

Research output: Contribution to journalArticle

11 Citations (Scopus)


The convergence behavior of the all-electron full-potential linearized augmented plane-wave (FLAPW) method with the explicit orthogonalization (XO) scheme is tested on ferromagnetic bulk body-centered-cubic Fe. Applying a commonly used criterion relating the plane-wave and angular momentum cutoffs, lmax = RMTKmax, where RMT is the muffin-tin (MT) sphere radius and Kmax is the plane-wave cutoff for the basis - the total energy is converged and stable for KmaxRMT = 10. The total energy convergence dependence on the star-function cutoff, Gmax, is minimal and so a Gmax of 3Kmax or a large enough Gmax is a reasonable choice. We demonstrate that the convergence with respect to lmax or a fixed large enough Gmax and Kmax are independent, and that Kmax provides a better measure of the convergence than RMTKmax. The dependence of the total energy on RMT is shown to be small if the core states are treated equivalently, and that the XO scheme is able to treat systems with significantly smaller RMT than the standard LAPW method. For converged systems, the calculated lattice parameter, bulk modulus, and magnetic moments are in excellent agreement with the experimental values.

Original languageEnglish
Pages (from-to)137-143
Number of pages7
JournalJournal of Magnetics
Issue number4
Publication statusPublished - Dec 1 2009



  • Bcc Fe
  • Convergence
  • Explicit orthogonalization (XO)
  • FLAPW method
  • Ferromagnetism
  • First-principles calculation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this