# N-representability in noncollinear spin-polarized density-functional theory.

@article{Gontier2013NrepresentabilityIN, title={N-representability in noncollinear spin-polarized density-functional theory.}, author={David Gontier}, journal={Physical review letters}, year={2013}, volume={111 15}, pages={ 153001 } }

The N-representability problem for noncollinear spin-polarized densities was left open in the pioneering work of von Barth and Hedin [J. Phys. C 5, 1629 (1972)] setting up the Kohn-Sham density-functional theory for magnetic compounds. In this Letter, we demonstrate that, contrarily to the nonpolarized case, the sets of pure and mixed state N-representable densities are different in general. We provide a simple characterization of the latter by means of easily checkable necessary and sufficient…

## 10 Citations

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