Wave-packet Formalism of Full Counting Statistics

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dc.creatorHassler, F.
dc.creatorSuslov, M. V.
dc.creatorGraf, G. M.
dc.creatorLebedev, M. V.
dc.creatorLesovik, G. B.
dc.creatorBlatter, G.
dc.date2008-02-01
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:13:44Z
dc.date.available2026-07-07T10:13:44Z
dc.descriptionWe make use of the first-quantized wave-packet formulation of the full counting statistics to describe charge transport of noninteracting electrons in a mesoscopic device. We derive various expressions for the characteristic function generating the full counting statistics, accounting for both energy and time dependence in the scattering process and including exchange effects due to finite overlap of the incoming wave packets. We apply our results to describe the generic statistical properties of a two-fermion scattering event and find, among other features, sub-binomial statistics for nonentangled incoming states (Slater rank 1), while entangled states (Slater rank 2) may generate super-binomial (and even super-Poissonian) noise, a feature that can be used as a spin singlet-triplet detector. Another application is concerned with the constant-voltage case, where we generalize the original result of Levitov-Lesovik to account for energy-dependent scattering and finite measurement time, including short time measurements, where Pauli blocking becomes important.
dc.description20 pages, 5 figures; major update, new figures and explanations included as well as a discussion about finite temperatures and subleading logarithmic terms
dc.identifierhttps://arxiv.org/abs/0802.0143
dc.identifierhttp://arxiv.org/abs/0802.0143
dc.identifierPhys. Rev. B 78, 165330 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.165330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172635
dc.subjectMesoscale and Nanoscale Physics
dc.titleWave-packet Formalism of Full Counting Statistics
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