Semiclassical Density Functional Theory: Strutinsky Energy Corrections in Quantum Dots

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.

References in corpus (4)

• Interactions and Interference in Quantum Dots: Kinks in Coulomb Blockade Peak Positions
• Mesoscopic fluctuations of the ground state spin of a small metal particle
• Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry
• Coulomb blockade conductance peak fluctuations in quantum dots and the independent particle model

Cited by in corpus (15)

• Conjugate-Gradient Optimization Method for Orbital-free Density Functional Calculations
• Many-Body Physics and Quantum Chaos
• Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
• Leading corrections to local approximations
• Spin and e-e interactions in quantum dots: Leading order corrections to universality and temperature effects
• Shell structure and orbit bifurcations in finite fermion systems
• Spin Qubits in Multi-Electron Quantum Dots
• Landau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots
• Stability of Metal Nanowires at Ultrahigh Current Densities
• Better insight into the Strutinsky method (published version)
• Assessing the source of error in the Thomas-Fermi-von Weizsäcker density functional
• Scrambling and Gate Effects in Realistic Quantum Dots
• Dimensional Reduction in Quantum Optics
• Vilen Mitrofanovich Strutinsky's impact on nuclear and many particle physics
• Quantum Dots: Coulomb Blockade, Mesoscopic Fluctuations, and Qubit Decoherence