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High-order cumulants in the counting statistics of asymmetric quantum dots

Mesoscale and Nanoscale Physics 2010-06-04 v1 Mathematical Physics math.MP

Abstract

Measurements of single electron tunneling through a quantum dot using a quantum point contact as charge detector have been performed for very long time traces with very large event counts. This large statistical basis is used for a detailed examination of the counting statistics for varying symmetry of the quantum dot system. From the measured statistics we extract high order cumulants describing the distribution. Oscillations of the high order cumulants are observed when varying the symmetry. We compare this behavior to the observed oscillation in time dependence and show that the variation of both system variables lead to the same kind of oscillating response.

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Cite

@article{arxiv.1006.0630,
  title  = {High-order cumulants in the counting statistics of asymmetric quantum dots},
  author = {Christian Fricke and Frank Hohls and Nandhavel Sethubalasubramanian and Lukas Fricke and Rolf J. Haug},
  journal= {arXiv preprint arXiv:1006.0630},
  year   = {2010}
}

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3 pages