Electronelectron interaction in linear arrays of small tunnel junctions
Abstract
We have calculated the spatial distribution of the electrostatic potential created by an unbalanced charge q in one of the conducting electrodes of a long, uniform, linear array of small tunnel junctions. The distribution describes, in particular, the shape of a topological singleelectron soliton in such an array. An analytical solution obtained for a circular crosssection model is compared with results of geometrical modeling of a more realistic structure with square cross section. These solutions are very close to one another, and can be reasonably approximated by a simple phenomenological expression. In contrast to the previously accepted exponential approximation, the new result describes the crossover between the linear change of the potential near the center of the soliton to the unscreened Coulomb potential far from the center, with an unexpected ``hump'' near the crossover point.
 Publication:

Applied Physics Letters
 Pub Date:
 November 1995
 DOI:
 10.1063/1.115446
 arXiv:
 arXiv:condmat/9510018
 Bibcode:
 1995ApPhL..67.3037L
 Keywords:

 Condensed Matter
 EPrint:
 8 pages, RevTeX 3.0, 4 PostScript figures. To appear in Applied Physics Letters, circa 12 Nov 1995