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Features of Two-Dimensional Bifurcations during Dissipative Electron Tunneling in Arrays of Au Nanoparticles

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Abstract

Within the 2D theory of dissipative tunneling in the semiclassical approximation (a rarefied gas of instanton–anti-instanton pairs) at a finite temperature in the presence of an external electric field, the features of tunneling transport in the planar structures with the quantum dots made of colloidal gold—which, presumably, possess the properties of a metamaterial—are investigated. It is shown experimentally that either a single effect or a double effect of 2D tunnel bifurcations (in the form of a kink or kinks on the tunneling current–voltage curve) is observed depending on the position of the cantilever tip of a combined atomic force and scanning tunneling microscope (AFM/STM), which can be either above a single quantum dot or between two adjacent quantum dots, respectively. As our theoretical model shows, such a regime of double bifurcation (a double smoothed kink on the tunneling current–voltage curve) that is associated with the manifestation of the properties of a metamaterial by the structure under study. A convincing qualitative agreement is obtained between the experimental current–voltage characteristics and the field dependence of the probability of 2D dissipative tunneling in the two investigated regimes with due regard for the observed quantum beats (oscillations) in the vicinity of 2D bifurcation points.

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ACKNOWLEDGMENTS

We thank Prof. Leggett and Ovchinnikov (who predicted, together with Ivlev, the effect of 2D tunneling bifurcations for the first time) for helpful discussions, and A.V.  Zenkevich and Yu.A. Matveev (National Research University Moscow Institute of Physics and Technology) for preparing samples for the experiments. We are grateful to the following institutions for help in performing the experimental part of this study: Institute of Problems of Laser and Information Technologies, Russian Academy of Sciences; Center for Collective Use at the Moscow State University; and Science and Education Center Physics of Solid-State Nanostructures at Lobachevsky Nizhny Novgorod State University.

Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation through grant no. 0748-2020-0012 and the Russian Foundation for Basic Research through grant no. 18-42-130007 r_a. The International Center Mag Top for Interfacing Magnetism and Superconductivity with Topological Matter was supported by the Foundation for Polish Science through an IRA Program co-financed by the European Union within the framework of SG OP (grant no. MAB/2017/1).

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Authors and Affiliations

  1. Penza State University, 440026, Penza, Russia

    M. B. Semenov, V. D. Krevchik, A. V. Shorokhov, P. V. Krevchik & I. M. Semenov

  2. Lobachevsky Nizhny Novgorod State University, 603950, Nizhny Novgorod, Russia

    D. O. Filatov & D. A. Antonov

  3. University of Jyväskylä, Fl-40014, Seminaarinkatu, Finland

    A. V. Shorokhov

  4. Institute of Problems of Laser and Information Technologies, Russian Academy of Sciences, 140700, Shatura, Moscow oblast, Russia

    A. P. Shkurinov

  5. Key Laboratory for Special Function Materials, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China

    Y. H. Wang & T. R. Li

  6. Department of Physics, Multanimal Modi College Modinagar, 201204, Uttar Prasesh, India

    A. K. Malik

  7. Ogarev Institute of Physics and Chemistry, Mordovia State University, 430005, Saransk, Russia

    A. V. Shorokhov

  8. International Research Center Mag Top, Institute of Physics, Polish Academy of Sciences, PL-02668, Warsaw, Poland

    A. V. Shorokhov

Authors
  1. M. B. Semenov
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  2. V. D. Krevchik
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  3. D. O. Filatov
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  4. A. V. Shorokhov
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  5. A. P. Shkurinov
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  6. P. V. Krevchik
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  7. Y. H. Wang
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  8. T. R. Li
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  9. A. K. Malik
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  10. D. A. Antonov
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  11. I. M. Semenov
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Corresponding author

Correspondence to M. B. Semenov.

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Translated by O. Kadkin

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Semenov, M.B., Krevchik, V.D., Filatov, D.O. et al. Features of Two-Dimensional Bifurcations during Dissipative Electron Tunneling in Arrays of Au Nanoparticles. Tech. Phys. 65, 1717–1725 (2020). https://doi.org/10.1134/S1063784220110249

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