Level Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots
Mesoscale and Nanoscale Physics
2008-02-04 v2
Abstract
We obtain analytic formulae for the spacing between conductance peaks in the Coulomb blockade regime, based on the universal Hamiltonian model of quantum dots. New random matrix theory results are developed in order to treat correlations between two and three consecutive spacings in the energy level spectrum. These are generalizations of the Wigner surmise for the probability distribution of single level spacing. The analytic formulae are shown to be in good agreement with numerical evaluation.
Keywords
Cite
@article{arxiv.0707.1620,
title = {Level Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots},
author = {D. Herman and T. T. Ong and Gonzalo Usaj and H. Mathur and H. U. Baranger},
journal= {arXiv preprint arXiv:0707.1620},
year = {2008}
}
Comments
15 pages, minor changes, published version