Journal
PHYSICAL REVIEW B
Volume 79, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.121305
Keywords
ab initio calculations; density functional theory; quantum dots
Funding
- Deutsche Forschungsgemeinschaft
- EU's Sixth Framework Programme through the Nanoquanta Network of Excellence [NMP4CT-2004-500198]
- Academy of Finland
- European Community through a Marie Curie IIF [MIF1-CT-2006-040222]
- CONICET of Argentina [PIP 5254]
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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.
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