We examine the integer discontinuity (or derivative discontinuity) of the exact energy functionals of Kohn-Sham density-functional theory for the spin-polarized case. The integer discontinuity and its cause, the piecewise linearity of the energy in the grand canonical ensemble, are required to improve the predictive power of density-functional approximations to the exchange-correlation energy. We show how any spin-polarized DFA can be adapted to display the proper integer discontinuity. The formalism we present here can be used to improve functionals further within spin density-functional theory and fragment-based formulations of DFT.
CITATION STYLE
Mosquera, M. A., & Wasserman, A. (2015). Non-analytic spin-density functionals. Topics in Current Chemistry, 365, 145–174. https://doi.org/10.1007/128_2014_619
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