Exact analytical solution to the electronic transport in an N-coupled quantum dot array

Abstract

Based on the exact Green's function calculation for an N -coupled quantum dot array, the rigorous expressions for the dc current, differential conductance, and density of states, which show analytically algebraic structures, are obtained. Our new findings indicate that for the quantum transport properties there exists an optimal tunneled coupling for which the density of states of the electrons in the quantum dot is smoothened to the fullest extent and consequently the dc current and differential conductance reach their extrema. © 2007 The American Physical Society.