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Counting Statistics of Single-Electron Transport

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Principles and Methods of Quantum Information Technologies

Part of the book series: Lecture Notes in Physics ((LNP,volume 911))

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Abstract

Single-electron counting is a sensitive quantum measurement that allows the detection of individual electron flow in real time. The apparatus required for such measurements can be prepared using a fast charge sensor attached to a quantum dot. The scheme allows us to measure extremely small currents of the order of attoamperes with single-electron resolution and evaluate the statistical characteristics of the transport. A bidirectional counting scheme with a double quantum dot enables measurements in linear as well as nonlinear transport regimes, where both forward and backward transport processes are essential. Various statistical analyses, such as frequency spectrum, time-correlation, and full counting statistics, have been developed to characterize current fluctuations and understand correlated electron transport in nanostructures.

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Acknowledgements

We thank J. C. H. Chen, M. Hashisaka, T. Hayashi, Y. Hirayama, K. Muraki, Y. Tokura, R. Tomita, M. Ueki, N. Watase, and M. Yamagushi for valuable discussions and supports. This work was supported by FIRST “Quantum Information Processing” project, JSPS Grants-in-Aid for Scientific Research (KAKENHI) Grant Numbers 21000004 and 26247051, and GCOE project “Nanoscience and Quantum Physics” at Tokyo Institute of Technology.

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo, Japan

    Toshimasa Fujisawa

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  1. Toshimasa Fujisawa
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Correspondence to Toshimasa Fujisawa .

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Editors and Affiliations

  1. ImPACT Program, Council for Science Technology and Innovation, Tokyo, Japan

    Yoshihisa Yamamoto

  2. National Institute of Information and Communications Technology, Koganei, Tokyo, Japan

    Kouichi Semba

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Fujisawa, T. (2016). Counting Statistics of Single-Electron Transport. In: Yamamoto, Y., Semba, K. (eds) Principles and Methods of Quantum Information Technologies. Lecture Notes in Physics, vol 911. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55756-2_8

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