Exact solution for charge solitons in two coupled one-dimensional arrays of small tunnel junctions

Document Type


Publication Date



An exact solution for the potential profile of two coupled one-dimensional arrays each with m junctions with equal junction capacitances C, equal stray capacitances (Formula presented), and equal coupling capacitances (Formula presented) is presented. Analytical expressions for the total free energy as well as the injection threshold voltage (Formula presented) of various charge solitons (an electron-hole pair, a single charge soliton, or a combined electron-hole pair and a single charge soliton) are derived. For m=3, we find that in the weak coupling regime ((Formula presented)≪C) single electron transport dominates, in contrast with existing results [D. V. Averin et al., Phys. Rev. Lett. 66, 2818 (1991)], and other differences are also found in the (Formula presented)≫C limit. © 1996 The American Physical Society.

Publication Source (Journal or Book title)

Physical Review B - Condensed Matter and Materials Physics

First Page


Last Page


This document is currently not available here.