Optimized effective potential method in current-spin-density-functional theory

S. Pittalis*, S. Kurth, N. Helbig, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Current-spin-density-functional theory (CSDFT) provides a framework to describe interacting many-electron systems in a magnetic field which couples to both spin and orbital degrees of freedom. Unlike in the usual (spin-)density-functional theory, approximations to the exchange-correlation energy based on the model of the uniform electron gas face problems in practical applications. In this work, explicitly orbital-dependent functionals are used and a generalization of the optimized effective potential method to the CSDFT framework is presented. A simplifying approximation to the resulting integral equations for the exchange-correlation potentials is suggested. A detailed analysis of these equations is carried out for the case of open-shell atoms and numerical results are given using the exact-exchange energy functional. For zero external magnetic field, a small systematic lowering of the total energy for current-carrying states is observed due to the inclusion of the current in the Kohn-Sham scheme. For states without current, CSDFT results coincide with those of spin-density-functional theory.

Original languageAmerican English
Article number062511
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 2006
Externally publishedYes


Dive into the research topics of 'Optimized effective potential method in current-spin-density-functional theory'. Together they form a unique fingerprint.

Cite this