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

Abstract

We 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.

Submitted to Physical Review B

References in corpus (3)

• Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
• Spin and Conductance-Peak-Spacing Distributions in Large Quantum Dots: A Density Functional Theory Study
• Electron-Electron Interactions in Isolated and Realistic Quantum Dots: A Density Functional Theory Study

Cited by in corpus (5)

• Many-Body Physics and Quantum Chaos
• Leading corrections to local approximations
• Interaction Effects in the Mesoscopic Regime: A Quantum Monte Carlo Study of Irregular Quantum Dots
• Universality in the Energy Spectrum of Medium-Sized Quantum Dots
• Interactions and Broken Time-Reversal Symmetry in Chaotic Quantum Dots