Density Modulations and Addition Spectra of Interacting Electrons in Disordered Quantum Dots

Abstract

We analyse the ground state of spinless fermions on a lattice in a weakly disordered potential, interacting via a nearest neighbour interaction, by applying the self-consistent Hartree-Fock approximation. We find that charge density modulations emerge progressively when r_s >1, even away from half-filling, with only short-range density correlations. Classical geometry dependent "magic numbers" can show up in the addition spectrum which are remarkably robust against quantum fluctuations and disorder averaging.

4 pages, 3 eps figures

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Cited by in corpus (19)

• The Statistical Theory of Quantum Dots
• Signatures of spin pairing in a quantum dot in the Coulomb blockade regime
• Many-Body Physics and Quantum Chaos
• Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
• Semiclassical Density Functional Theory: Strutinsky Energy Corrections in Quantum Dots
• Non-equlibrium effects in transport through quantum dots
• Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions
• Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry
• Quantum Dots with Disorder and Interactions: A Solvable Large-g Limit
• Density functional theory of spin-polarized disordered quantum dots
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Size scaling of the addition spectra in silicon quantum dots
• Statistics of Coulomb blockade peak spacings for a partially open dot
• Coulomb blockade conductance peak fluctuations in quantum dots and the independent particle model
• Statistical Properties of The First Excited State of an Interacting Many Particle Disordered System
• The addition spectrum of interacting electrons: Parametric dependence
• Correlations in the cotunneling regime of a quantum dot
• Energy Level Statistics of Quantum Dots
• Quantum and frustration effects on fluctuations of the inverse compressibility in two-dimensional Coulomb glasses