Abstract
We have used numerical modeling and a semianalytical calculation method to find the low-frequency value of the spectral density fluctuations of current through one-dimensional arrays of small tunnel junctions, using the “orthodox” theory of single-electron tunneling. In all three array types studied, at low temperature increasing current induces a crossover from the Schottky value to the “reduced Schottky value” (where is the array length) at some crossover current In uniform arrays over a ground plane, is proportional to , where is the single-electron soliton length. In arrays without a ground plane, decreases slowly with both and . Finally, we have calculated the statistics of for ensembles of arrays with random background charges. The standard deviation of from the ensemble average is quite large, typically between 0.5 and 0.7 of , while the dependence of on or is so weak that it is hidden within the random fluctuations of the crossover current.
- Received 20 January 1998
DOI:https://doi.org/10.1103/PhysRevB.57.15613
©1998 American Physical Society