CaCuO2 antiferromagnetism using shallow well added solely to atomic potential for generating O2− basis set of periodic molecular orbitals with consideration of coulomb potential in solid in an LDA
✍ Scribed by Kimichika Fukushima
- Book ID
- 104577271
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 184 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
The antiferromagnetism in an infinite‐layer copper oxide CaCuO~2~ was analyzed by adding a well potential solely to the atomic potential of an O^2−^ ion in constructing a basis set for a Bloch‐type periodic linear combination of numerically calculated atomic orbitals. (The well is not added to the solid Hamiltonian.) In this method that solves a secular equation to find all electron states, the original Kohn−Sham local density approximation (LDA) was employed. (Magnetic properties calculated with generalized gradient approximation are more similar to those with the original Kohn−Sham LDA than Vosko−Wilk−Nusair results.) The Cu oxides contain the O^2−^ ion, which is stable in a solid but emits an electron in a vacuum. This implies that the atomic wave equation of electrons for an isolated O^2−^ in a vacuum lacks real solutions unless a well potential is added to the atomic potential. The well potential for the O^2−^ basis set was calculated using the Coulomb potential generated by nuclei and electron clouds surrounding O^2−^ in a solid. A relatively shallow well potential within an ion radius compared to the well depth usually used results in significant delocalization of electrons at the O^2−^ site. This periodic molecular orbital method predicts insulating antiferromagnetic ordering in CaCuO~2~. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2012