We consider current shot noise and the full counting statistics in a chain of quantum dots which exhibits a continuous non-equilibrium phase transition as a function of the tunnel couplings of the chain with the electrodes. Using a combination of analytical and numerical methods, we establish that the full counting statistics is conventional away from the phase transition, but becomes, in a well-defined sense, essentially non-Gaussian on the critical line, where the current fluctuations are controlled by the dynamic critical exponent z. We find that signatures of the critical full counting statistics persist in quantum-dot chains of finite length.
@article{arxiv.0909.4470,
title = {Signatures of critical full counting statistics in a quantum-dot chain},
author = {Torsten Karzig and Felix von Oppen},
journal= {arXiv preprint arXiv:0909.4470},
year = {2010}
}