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Statistics of charge transport and unconventional time ordering

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.

preprint2013arXivOpen access
Vincent BeaudGian Michele GrafAndrei V. LebedevGordey B. Lesovik
cond-mat.mes-hallmath-phmath.MP
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Vincent BeaudGian Michele GrafAndrei V. LebedevGordey B. Lesovik

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