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Low Temperature Transport in Tunnel Junction Arrays: Cascade Energy Relaxation

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Physical Properties of Nanosystems

Abstract

A theory of far-from-equilibrium transport in arrays of tunnel junctions is developed. We show that at low temperatures the energy relaxation ensuring tunneling current can become a cascade two-stage process: charge carriers lose their energy to a bosonic environment (electromagnetic fluctuations or electron-hole pairs), which, in its turn, relaxes the energy to the thermostat. We derive the current-voltage characteristics for the arrays and demonstrate that opening the energy gap in the environmental excitations spectrum completely suppresses the tunneling current. The consequences of the cascade relaxation in various physical systems are discussed.

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Acknowledgements

We are grateful to R. Fazio, A. Shytov, A. Gurevich, I. Burmistrov and Ya. Rodionov for useful discussions. This work was supported by the U.S. Department of Energy Office of Science under the Contract No. DE-AC02-06CH11357, by the Programs of the Russian Academy of Sciences, and by the Russian Foundation for Basic Research (Grant Nos. 09-02-01205 and 09-02-12206).

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Authors and Affiliations

  1. L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, 117940, Moscow, Russia

    N. M. Chtchelkatchev

  2. Materials Science Division, Argonne National Laboratory, Argonne, Chicago, Illinois, 60439, USA

    V. M. Vinokur

  3. Institute of Semiconductor Physics, 13 Lavrentjev Avenue, Novosibirsk, 630090, Russia

    T. I. Baturina

Authors
  1. N. M. Chtchelkatchev
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  2. V. M. Vinokur
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  3. T. I. Baturina
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Correspondence to N. M. Chtchelkatchev .

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Editors and Affiliations

  1. Jožef Stefan Institute, Jadranska 19, Ljubljana, 1000, Slovenia

    Janez Bonca

  2. Theoretical Physics, Bogolyubov Institute for, Metrologichna 14 b14b, Kiev, 03680, Ukraine

    Sergei Kruchinin

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Chtchelkatchev, N.M., Vinokur, V.M., Baturina, T.I. (2011). Low Temperature Transport in Tunnel Junction Arrays: Cascade Energy Relaxation. In: Bonca, J., Kruchinin, S. (eds) Physical Properties of Nanosystems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0044-4_3

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