Ullmo, D; Nagano, T; Tomsovic, S; Baranger, HU, *Semiclassical Density Functional Theory: Strutinsky Energy Corrections
in Quantum Dots*, vol. 63
(July, 2000),
pp. 125339 [0007330v1], [doi] .
**Abstract:**

*We develop a semiclassical density functional theory in the context of
quantum dots. Coulomb blockade conductance oscillations have been measured in
several experiments using nanostructured quantum dots. The statistical
properties of these oscillations remain puzzling, however, particularly the
statistics of spacings between conductance peaks. To explore the role that
residual interactions may play in the spacing statistics, we consider many-body
systems which include electron-electron interactions through an explicit
density functional. First, we develop an approximate series expansion for
obtaining the ground state using the idea of the Strutinsky shell correction
method. Next, we relate the second-order semiclassical corrections to the
screened Coulomb potential. Finally, we investigate the validity of the
approximation method by numerical calculation of a one-dimensional model
system, and show the relative magnitudes of the successive terms as a function
of particle number.*