Physics – Condensed Matter – Materials Science
Scientific paper
2008-11-05
Int. J. Mod Phys. B 23, 3004 (2009)
Physics
Condensed Matter
Materials Science
Int. J. Mod Phys. B, accepted, 2008 (Proceedings of the 18th International Conference on High Magnetic Fields in Semiconductor
Scientific paper
The exchange energy of an arbitrary collinear-spin many-body system in an external magnetic field is a functional of the spin-resolved charge and current densities, $E_x[n_{\uparrow},n_{\downarrow},j_{\uparrow},j_{\downarrow}]$. Within the framework of density-functional theory (DFT), we show that the dependence of this functional on the four densities can be fully reconstructed from either of two extreme limits: a fully polarized system or a completely unpolarized system. Reconstruction from the limit of an unpolarized system yields a generalization of the Oliver-Perdew spin scaling relations from spin-DFT to current-DFT. Reconstruction from the limit of a fully polarized system is used to derive the high-field form of the local-spin-density approximation to current-DFT and to magnetic-field DFT.
Capelle Klaus
Morbec J. M.
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