Sam Genway, James M. Hickey, Juan P. Garrahan, Andrew D. Armour
We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions exists for the statistics of transferred charge; by tuning an appropriate `counting field', crossovers to different dynamical phases are possible. Our description reveals a mapping between the FCS of a given device and current measurements over a range of devices with different dot-lead coupling strengths. Further insight into features in the FCS is found by studying the occupation of the dot conditioned on the transported charge between the leads.
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http://arxiv.org/abs/1212.5200
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