Exact and approximate relations for the spin-dependence of the exchange energy in high magnetic fields

Abstract

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. 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.

Citation

(2009). Exact and approximate relations for the spin-dependence of the exchange energy in high magnetic fields. International Journal of Modern Physics B, 3004 - 3008. https://doi.org/10.1142/S0217979209062712

• Acceptance Date: May 20, 2009
• Publication Date: May 20, 2009
• Journal: International Journal of Modern Physics B
• Print ISSN: 0217-9792
• Publisher: World Scientific Publishing
• Pages: 3004 - 3008
• DOI: https://doi.org/10.1142/S0217979209062712
• Publisher URL: https://doi.org/10.1142/S0217979209062712