Exact solution for the charge soliton in a one-dimensional array of small tunnel junctions

Abstract

An exact solution for the single charge soliton, in a one-dimensional array of N gated junctions with equal junction capacitances C and equal gate capacitances ${\mathit{C}}_{\mathit{g}}$, is presented. Analytical expressions for the total energy, as well as the injection threshold voltage of a charge soliton in a biased array, are derived. Based on the exact solution, we analyze the effects of N and ${\mathit{C}}_{\mathit{g}}$/C on the charge soliton, to provide an understanding of the existing experiments.