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arXiv · 1006.1831

Non-Gaussian fluctuations of mesoscopic persistent currents

Jeroen Danon·Piet W. Brouwer
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Abstract

The persistent current in an ensemble of normal-metal rings shows Gaussian distributed sample-to-sample fluctuations with non-Gaussian corrections, which are precursors of the transition into the Anderson localized regime. We here report a calculation of the leading non-Gaussian correction to the current autocorrelation function, which is of third order in the current. Although the third-order correlation function is small, inversely proportional to the dimensionless conductance $g$ of the ring, the mere fact that it is nonzero is remarkable, since it is an odd moment of the current distribution.

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Jeroen Danon, Piet W. Brouwer. 2010-08-31. Non-Gaussian fluctuations of mesoscopic persistent currents. https://doi.org/10.1103/physrevlett.105.136803

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