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Features of Physical Observables of a Strongly Correlated Superconducting Nanowire with Rashba Spin–Orbit Interaction

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Abstract

We analyze the behavior of caloric characteristics and the electron component of the spin polarization of excitations in the regime of strong electron correlations of a nanowire, which is characterized by induced superconductivity of the extended s-type symmetry, the Rashba spin–orbit interaction, and the Zeeman splitting of on-site energy. The problem has been analyzed using the density matrix renormalization group method. It is shown that for unambiguous identification of different phases (the topologically trivial phase with edge excitations and without them, as well as topologically nontrivial phases with one or several pairs of Majorana modes), it is insufficient to analyze each of the aforementioned characteristics separately; it is necessary to consider their features simultaneously.

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ACKNOWLEDGMENTS

The authors are grateful to A.D. Fedoseev for discussions.

Funding

This study was supported by the Russian Foundation for Basic Research (project nos. 19-02-00348 and 20-02-00015), the administration of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation (project nos. 20-42-243001 and 20-42-243005), and the Council for Grants from the President of Russian Federation (projects nos. MK-1641.2020.2 and MK-4687.2022.1). One of the authors (Sh.M.S.) thanks the Foundation for the Development of Theoretical Physics and Mathematics “BASIS.”

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Authors and Affiliations

  1. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, 660036, Krasnoyarsk, Russia

    M. S. Shustin & S. V. Aksenov

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  1. M. S. Shustin
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  2. S. V. Aksenov
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Correspondence to M. S. Shustin or S. V. Aksenov.

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The authors declare that they have no conflicts of interest.

ADDITIONAL INFORMATION

This article was prepared for the special issue of Journal of Experimental and Theoretical Physics dedicated to the 95th birthday of Professor E.I. Rashba.

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Translated by N. Wadhwa

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Shustin, M.S., Aksenov, S.V. Features of Physical Observables of a Strongly Correlated Superconducting Nanowire with Rashba Spin–Orbit Interaction. J. Exp. Theor. Phys. 135, 500–512 (2022). https://doi.org/10.1134/S1063776122100181

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