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

Kang-Hun Ahn·Klaus Richter·In-Ho Lee
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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 $δχ$ follow approximately a random matrix prediction for weak interactions, there is a crossover to a regime where $δχ$ 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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Kang-Hun Ahn, Klaus Richter, In-Ho Lee. 1999-10-18. Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry. https://doi.org/10.1103/physrevlett.83.4144

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