Physics – Condensed Matter – Materials Science
Scientific paper
1998-09-28
Physics
Condensed Matter
Materials Science
15 pages, 2 figures, PRB in press
Scientific paper
10.1103/PhysRevB.58.11959
The Perdew-Burke-Ernzerhof generalized gradient approximation to the density functional theory is tested with respect to sensitivity to the choice of the value of the parameter $\kappa$, which is associated to the degree of localization of the exchange-correlation hole. A study of structural and dynamical properties of four selected ferroelectric perovskites is presented. The originally proposed value of $\kappa$=0.804 %(best suited for atoms and molecules) works well for some solids, whereas for the ABO$_3$ perovskites it must be decreased in order to predict equilibrium lattice parameters in good agreement with experiments. The effects on the structural instabilities and zone center phonon modes are examined. The need of varying $\kappa$ from one system to another reflects the fact that the localization of the exchange-correlation hole is system dependent, and the sensitivity of the structural properties to its actual value illustrates the necessity of finding a universal function for $\kappa$.
Christensen Niels E.
Novikov D. L.
Rodriguez C. O.
Stachiotti M. G.
Tinte Silvia
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