# Shot Noise of Single-Electron Tunneling in 1D Arrays

Source: [Shot Noise of Single-Electron Tunneling in 1D Arrays](<https://www.sota2.com/research/paper/68fa24912c2a3760193a5f15>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:19:13.338Z

Authors: K.A. Matsuoka, K.K. Likharev

Published: 1998-01-21T16:15:07.000Z

## Abstract

We have used numerical modeling and a semi-analytical calculation method to find the low frequency value S\_{I}(0) of the spectral density of fluctuations of current through 1D arrays of small tunnel junctions, using the \`\`orthodox theory'' of single-electron tunneling. In all three array types studied, at low temperature (kT \<\< eV), increasing current induces a crossover from the Schottky value S\_{I}(0)=2e\<I\> to the \`\`reduced Schottky value'' S\_{I}(0)=2e\<I\>/N (where N is the array length) at some crossover current I\_{c}. In uniform arrays over a ground plane, I\_{c} is proportional to exp(-\\lambda N), where 1/\\lambda is the single-electron soliton length. In arrays without a ground plane, I\_{c} decreases slowly with both N and \\lambda. Finally, we have calculated the statistics of I\_{c} for ensembles of arrays with random background charges. The standard deviation of I\_{c} from the ensemble average \<I\_{c}\> is quite large, typically between 0.5 and 0.7 of \<I\_{c}\>, while the dependence of \<I\_{c}\> on N or \\lambda is so weak that it is hidden within the random fluctuations of the crossover current.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9801219>)

[PDF](<https://arxiv.org/pdf/cond-mat/9801219.pdf>)