Electron-Electron Interaction in Linear Arrays of Small Tunnel Junctions

Details Electron-Electron Interaction in Linear Arrays of Small Tunnel Junctions Electron-Electron Interaction in Linear Arrays of Small Tunnel Junctions

1995-10-03

arxiv.org/abs/cond-mat/9510018v1

Physics

Condensed Matter

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

Scientific paper

10.1063/1.115446

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 single-electron soliton in such an array. An analytical solution obtained for a circular cross section 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.

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