Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry

Abstract

We investigate the influence of interactions and geometry on ground states of clean chaotic quantum dots using the self-consistent Hartree-Fock method. We find two distinct regimes of interaction strength: While capacitive energy fluctuations $\delta \chi$ follow approximately a random matrix prediction for weak interactions, there is a crossover to a regime where $\delta \chi$ is strongly enhanced and scales roughly with interaction strength. This enhancement is related to the rearrangement of charges into ordered states near the dot edge. This effect is non-universal depending on dot shape and size. It may provide additional insight into recent experiments on statistics of Coulomb blockade peak spacings.

4 pages, final version to appear in Phys. Rev. Lett

Cited by in corpus (17)

• The Statistical Theory of Quantum Dots
• Impurity effects in quantum dots: Towards quantitative modeling
• Signatures of spin pairing in a quantum dot in the Coulomb blockade regime
• Spectral Correlation in Incommensurate Multi-Walled Carbon Nanotubes
• Many-Body Physics and Quantum Chaos
• Quantum Lissajous Scars
• Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
• Semiclassical Density Functional Theory: Strutinsky Energy Corrections in Quantum Dots
• Semiclassical Construction of Random Wave Functions for Confined Systems
• Spin and Conductance-Peak-Spacing Distributions in Large Quantum Dots: A Density Functional Theory Study
• Quantum Dots with Disorder and Interactions: A Solvable Large-g Limit
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Electrostatics of two-dimensional structures: exact solutions and approximate methods
• Electron-Electron Interactions in Isolated and Realistic Quantum Dots: A Density Functional Theory Study
• Exchange interaction effects in the thermodynamic properties of quantum dots
• Orbital magnetic properties of quantum dots: the role of electron-electron interactions
• Quantum and classical chaos of a two-electron system in a quantum wire