Random matrix model for quantum dots with interactions and the conductance peak spacing distribution
Mesoscale and Nanoscale Physics
2009-10-31 v2
Abstract
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.
Cite
@article{arxiv.cond-mat/9909066,
title = {Random matrix model for quantum dots with interactions and the conductance peak spacing distribution},
author = {Y. Alhassid and Ph. Jacquod and A. Wobst},
journal= {arXiv preprint arXiv:cond-mat/9909066},
year = {2009}
}
Comments
4 pages, 4 eps figures included, a few minor changes