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Full counting statistics of nano-electromechanical systems

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arxiv cond-mat/0410322 v2 pith:MQLSP6OX submitted 2004-10-13 cond-mat.mes-hall

Full counting statistics of nano-electromechanical systems

classification cond-mat.mes-hall
keywords countingfullquantumstatisticssystemstheoryappliedc60-setup
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a theory for the full counting statistics (FCS) for a class of nanoelectromechanical systems (NEMS), describable by a Markovian generalized master equation. The theory is applied to two specific examples of current interest: vibrating C60 molecules and quantum shuttles. We report a numerical evaluation of the first three cumulants for the C60-setup; for the quantum shuttle we use the third cumulant to substantiate that the giant enhancement in noise observed at the shuttling transition is due to a slow switching between two competing conduction channels. Especially the last example illustrates the power of the FCS.

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