TY - JOUR
T1 - Electronic exchange in quantum rings
T2 - Beyond the local-density approximation
AU - Räsänen, E.
AU - Pittalis, S.
AU - Proetto, C. R.
AU - Gross, E. K.U.
PY - 2009/3/3
Y1 - 2009/3/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=63249122101&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.79.121305
DO - 10.1103/PhysRevB.79.121305
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AN - SCOPUS:63249122101
SN - 1098-0121
VL - 79
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 12
M1 - 121305
ER -