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

Journal Article

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. © 2007 The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Herman, D; Ong, TT; Usaj, G; Mathur, H; Baranger, HU

Published Date

  • November 30, 2007

Published In

Volume / Issue

  • 76 / 19

Electronic International Standard Serial Number (EISSN)

  • 1550-235X

International Standard Serial Number (ISSN)

  • 1098-0121

Digital Object Identifier (DOI)

  • 10.1103/PhysRevB.76.195448

Citation Source

  • Scopus