Fluctuation theorem for counting-statistics in electron transport through quantum junctions

Details Fluctuation theorem for counting-statistics in electron transport through quantum junctions Fluctuation theorem for counting-statistics in electron transport through quantum junctions

2007-02-16

arxiv.org/abs/cond-mat/0702376v1

Phys. Rev. B 75, 155316 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 12 figures, accepted in Phy.Rev.B

Scientific paper

We demonstrate that the probability distribution of the net number of electrons passing through a quantum system in a junction obeys a steady-state fluctuation theorem (FT) which can be tested experimentally by the full counting statistics (FCS) of electrons crossing the lead-system interface. The FCS is calculated using a many-body quantum master equation (QME) combined with a Liouville space generating function (GF) formalism. For a model of two coupled quantum dots, we show that the FT becomes valid for long binning times and provide an estimate for the finite-time deviations. We also demonstrate that the Mandel (or Fano) parameter associated with the incoming or outgoing electron transfers show subpoissonian (antibunching) statistics.

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