Electronic exchange in quantum rings: Beyond the local-density approximation

E. Räsänen*, S. Pittalis, C. R. Proetto, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Quantum rings can be characterized by a specific radius and ring width. For this rich class of physical systems, an accurate approximation for the exchange-hole potential and thus for the exchange energy is derived from first principles. Excellent agreement with the exact-exchange results is obtained regardless of the ring parameters, total spin, current, or the external magnetic field. The description can be applied as a density functional outperforming the commonly used local spin-density approximation, which is here explicitly shown to break down in the quasi-one-dimensional limit. The dimensional crossover, which is of extraordinary importance in low-dimensional systems, is fully captured by our functional.

Original languageAmerican English
Article number121305
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - 3 Mar 2009
Externally publishedYes


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