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

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

1999-06-03

arxiv.org/abs/cond-mat/9906046v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevLett.83.4144

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.

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