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Collapse of the Fano Resonance Caused by the Nonlocality of the Majorana State

  • Condensed Matter
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Abstract

Owing to the nonlocal character of the Majorana state, the corresponding excitations are of great interest. It is demonstrated that the direct consequence of such nonlocality is the collapse of the Fano resonance manifesting itself in the conductance of an asymmetric interference device, the arms of which are connected by a one-dimensional topological superconductor. In the framework of the spinless model, it is shown that the predicted effect is associated with an increase in the multiplicity of the degeneracy of the zero-energy state of the structure arising at the critical point of the Kitaev model. Such an increase leads to the formation of a bound state in the continuum.

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Acknowledgments

We are grateful to V.V. Valkov and A.D. Fedoseev for stimulating discussions.

Funding

The work was supported by the Presidium of the Russian Academy of Sciences (Program of Basic Research no. 32 “Nanostructures: Physics, Chemistry, Biology, and Fundamentals of Technologies”), by the Russian Foundation for Basic Research (project nos. 19-02-00348, 20-32-70059, and 20-02-00015), and by the Government of the Krasnoyarsk Territory together with the Krasnoyarsk Science Foundation (project no. 19-42-240011 “Coulomb Interactions in the Problem of Majorana Modes in Low-Dimensional Systems with Nontrivial Topology”). S.V. Aksenov acknowledges the support of the Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific Schools, grant no. MK-3722.2018.2. M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (program of basic research).

Author information

Authors and Affiliations

  1. Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia

    S. V. Aksenov

  2. National Research University Higher School of Economics, Moscow, 101000, Russia

    M. Yu. Kagan

  3. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Moscow, 119334, Russia

    M. Yu. Kagan

Authors
  1. S. V. Aksenov
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  2. M. Yu. Kagan
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Correspondence to S. V. Aksenov.

Additional information

Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 111, No. 5, pp. 321–327.

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Aksenov, S.V., Kagan, M.Y. Collapse of the Fano Resonance Caused by the Nonlocality of the Majorana State. Jetp Lett. 111, 286–292 (2020). https://doi.org/10.1134/S0021364020050057

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  • DOI: https://doi.org/10.1134/S0021364020050057

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