Landau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots

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dc.creatorUllmo, Denis
dc.creatorJiang, Hong
dc.creatorYang, Weitao
dc.creatorBaranger, Harold U.
dc.date2004-01-21
dc.date.accessioned2026-07-07T02:56:01Z
dc.date.available2026-07-07T02:56:01Z
dc.descriptionWe analyze the ground state energy and spin of quantum dots obtained from spin density functional theory (SDFT) calculations. First, we introduce a Strutinsky-type approximation, in which quantum interference is treated as a correction to a smooth Thomas-Fermi description. For large irregular dots, we find that the second-order Strutinsky expressions have an accuracy of about 5 percent compared to the full SDFT and capture all the qualitative features. Second, we perform a random matrix theory/random plane wave analysis of the Strutinsky SDFT expressions. The results are statistically similar to the SDFT quantum dot statistics. Finally, we note that the second-order Strutinsky approximation provides, in essence, a Landau Fermi liquid picture of spin density functional theory. For instance, the leading term in the spin channel is simply the familiar exchange constant. A direct comparison between SDFT and the perturbation theory derived ``universal Hamiltonian'' is thus made possible.
dc.descriptionSubmitted to Physical Review B
dc.identifierhttps://arxiv.org/abs/cond-mat/0401389
dc.identifierhttp://arxiv.org/abs/cond-mat/0401389
dc.identifierPhys. Rev. B 70, 205309 (2004) (15 pages)
dc.identifierdoi:10.1103/PhysRevB.70.205309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23159
dc.subjectMesoscale and Nanoscale Physics
dc.titleLandau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots
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