Physical review. B, Condensed matter · 1994 · 1.2K citations · 16 references
Natural SciencesChemistryComputational ChemistryComputational ThermodynamicsMolecular PhysicsAb Initio MethodsDensity Functional TheoryElectron CorrelationComputational EfficiencyComputational Efficiency AnalysisExchange-correlation FunctionalsFast Fourier TransformPlane-wave Basis Sets
The application of gradient-corrected exchange-correlation functionals in total-energy calculations using a plane-wave basis set is discussed. The usual form of the exchange-correlation potential includes gradients whose calculation requires the use of a high-quality representation of the density which is computationally expensive in both memory and time. These problems may be overcome by defining an exchange-correlation potential for the discrete set of grid points consistent with the discretized form of the exchange-correlation energy that is used in Car-Parrinello-type total-energy calculations. This potential can be calculated exactly on the minimum fast-Fourier-transform grid and gives improved convergence and stability as well as computational efficiency.
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Self-Consistent Equations Including Exchange and Correlation Effects
W. Kohn, L. J. Sham · Physical Review · 1965 · 63.2K citations · Full text