Non-analytic Spin-Density Functionals

  • Martín A. Mosquera
  • Adam WassermanEmail author
Part of the Topics in Current Chemistry book series (TOPCURRCHEM, volume 365)


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.


Derivative discontinuity Electronic spin Ensemble Magnetic field Molecular dissociation 



We thankfully acknowledge support by the National Science Foundation CAREER program under Grant No. CHE-1149968. A.W. also acknowledges support from an Alfred P. Sloan Foundation Research Fellowship and a Camille-Dreyfus Teacher Scholar award.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of ChemistryPurdue UniversityWest LafayetteUSA

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