• Rapid Communication

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

E. Räsänen, S. Pittalis, C. R. Proetto, and E. K. U. Gross
Phys. Rev. B 79, 121305(R) – Published 13 March 2009

Abstract

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.

  • Figure
  • Figure
  • Figure
  • Received 7 December 2008

DOI:https://doi.org/10.1103/PhysRevB.79.121305

©2009 American Physical Society

Authors & Affiliations

E. Räsänen1,2,3,*, S. Pittalis1,3,†, C. R. Proetto1,3, and E. K. U. Gross1,3

  • 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
  • 2Nanoscience Center, Department of Physics, University of Jyväskylä, P.O. Box 35, FI-40014 Jyväskylä, Finland
  • 3European Theoretical Spectroscopy Facility (ETSF)

  • *esa.rasanen@jyu.fi
  • pittalis@physik.fu-berlin.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 79, Iss. 12 — 15 March 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×