The Coulomb blockade in multi-gated-small-junction systems

Abstract
An analytic solution to the electrostatic problem of a multi-gated-small-junction system in the semiclassical regime is presented. As an example, the formula derived is used to analyse the stable domain for the Coulomb blockade at zero DC voltage and zero temperature for systems with three-gated small junctions, which models various important devices such as the single-electron pump and double dots.