Level spacings in random matrix theory and Coulomb blockade peaks in quantum dots

D. HERMAN; T. TZEN ONG; GONZALO USAJ; H. MATHUR; H. U. BARANGER

PHYSICAL REVIEW B - CONDENSED MATTER AND MATERIALS PHYSICS

Año: 2007 vol. 76 p. 195448 - 195448

0163-1829

We obtain analytic formulas for the spacing between conductance peaks in the Coulomb blockade regime based on the universal Hamiltonian model of quantum dots. 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 formulas are shown to be in good agreement with numerical evaluation.