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.
@article{arxiv.1006.1831,
title = {Non-Gaussian fluctuations of mesoscopic persistent currents},
author = {Jeroen Danon and Piet W. Brouwer},
journal= {arXiv preprint arXiv:1006.1831},
year = {2015}
}