Full counting statistics of a chaotic cavity with asymmetric leads

dc.creatorBulashenko, O. M.
dc.date2004-03-16
dc.date2005-09-05
dc.date.accessioned2026-07-25T23:04:33Z
dc.descriptionWe study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has been derived by means of the Keldysh-Green function technique within the circuit theory of mesoscopic transport. The derived formula determines the full counting statistics of charge transport, i.e., the probability distribution and all-order cumulants of current noise. It is found that, for asymmetric cavities, in contrast to other mesoscopic systems, the third-order cumulant changes the sign at high biases. This effect is attributed to the skewness of the distribution of transmission eigenvalues with respect to forward/backward scattering. For a symmetric cavity we find that the third cumulant approaches a voltage-independent constant proportional to the temperature and the number of quantum channels in the leads.
dc.descriptionnew section on probability distribution and new references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0403388
dc.identifierhttp://arxiv.org/abs/cond-mat/0403388
dc.identifierJ. Stat. Mech. P08013 (2005)
dc.identifierdoi:10.1088/1742-5468/2005/08/P08013
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/95262
dc.subjectMesoscale and Nanoscale Physics
dc.titleFull counting statistics of a chaotic cavity with asymmetric leads
dc.typetext

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