English

Statistics of charge transport and unconventional time ordering

Mesoscale and Nanoscale Physics 2015-06-15 v1 Mathematical Physics math.MP

Abstract

The statistics of charge transport across a tunnel junction with energy-dependent scattering is investigated. A model with quadratic dispersion relation is discussed in general and, independently, in the two limiting cases of a large detector and of a linear dispersion relation. The measurement of charge takes place according to various protocols. It is found that, as a rule, the statistics is expressed by means of time-ordered current correlators, differing however from the conventional ones in the ordering prescription. Nevertheless binomial statistics is confirmed in all cases.

Keywords

Cite

@article{arxiv.1303.4661,
  title  = {Statistics of charge transport and unconventional time ordering},
  author = {Vincent Beaud and Gian Michele Graf and Andrei V. Lebedev and Gordey B. Lesovik},
  journal= {arXiv preprint arXiv:1303.4661},
  year   = {2015}
}

Comments

30 pages, 2 figures