Random matrix model for quantum dots with interactions and the conductance peak spacing distribution

Details Random matrix model for quantum dots with interactions and the conductance peak spacing distribution Random matrix model for quantum dots with interactions and the conductance peak spacing distribution

1999-09-04

arxiv.org/abs/cond-mat/9909066v2

Phys. Rev. B 61, R13357 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 eps figures included, a few minor changes

Scientific paper

10.1103/PhysRevB.61.R13357

We introduce a random interaction matrix model (RIMM) for finite-size strongly interacting fermionic systems whose single-particle dynamics is chaotic. The model is applied to Coulomb blockade quantum dots with irregular shape to describe the crossover of the peak spacing distribution from a Wigner-Dyson to a Gaussian-like distribution. The crossover is universal within the random matrix model and is shown to depend on a single parameter: a scaled fluctuation width of the interaction matrix elements. The crossover observed in the RIMM is compared with the results of an Anderson model with Coulomb interactions.

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