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We analyze the ground state energy and spin of quantum dots obtained fromspin density functional theory (SDFT) calculations. First, we introduce aStrutinsky-type approximation, in which quantum interference is treated as acorrection to a smooth Thomas-Fermi description. For large irregular dots, wefind that the second-order Strutinsky expressions have an accuracy of about 5percent compared to the full SDFT and capture all the qualitative features.Second, we perform a random matrix theory/random plane wave analysis of theStrutinsky SDFT expressions. The results are statistically similar to the SDFTquantum dot statistics. Finally, we note that the second-order Strutinskyapproximation provides, in essence, a Landau Fermi liquid picture of spindensity functional theory. For instance, the leading term in the spin channelis simply the familiar exchange constant. A direct comparison between SDFT andthe perturbation theory derived ``universal Hamiltonian'' is thus madepossible.Comment: Submitted to Physical Review

Landau Fermi-liquid picture of spin density functional theory: Strutinsky approach to quantum dots