The Muffin-Tin-Orbital Point of View

Author:

Andersen O. K.,Postnikov A. V.,Savrasov S. Yu.

Abstract

ABSTRACTWe review the interpretation of multiple-scattering theory in terms of muffin-tin orbitals. The use of slightly overlapping muffin-tin wells is justified rigorously. It is shown that the structure constants may be screened for a useful range of positive and negative energies, and that the screening may be chosen to yield desirable properties of the KKR matrix. Energy linearization and the linear muffin-tin-orbital method are discussed.

Publisher

Springer Science and Business Media LLC

Subject

General Engineering

Reference36 articles.

1. The LMTO Method

2. Solution of the Schrödinger Equation in Periodic Lattices with an Application to Metallic Lithium

3. 22. When defining the MTO for K2>0 we could have added any constant times the Bessel function, i.e. ijim(k,r), to the partial wave. This would have made no difference for a crystal because a Bloch sum of Bessel functions Dr ΔT exp(ik.T)δ(K,r-R-T) vanishes everywhere, except when k is on the free-electron Fermi surface with energy ic 2 in which case the function diverges everywhere. In the formalism, n would then be substituted by n+ij, and cotn by cotn+i. In the addition theorem (2.7) (and (6.2)) the substitution of n by n+ij would according to what was said above, modify the structure constants to BR,m,Rim (k,k)-iσR,Rσ,π, m and the KKR equations (2.8) would thus be unchanged.

4. Crystal Potential Parameters from Fermi-Surface Dimensions

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