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Superconductivity of the magnetized electron gas of a quantum cylinder

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Abstract

A microscopic theory of superconductivity is developed for the magnetized electron gas on a cylindrical surface. The Gibbs free energy is calculated for the superconducting system. A gap equation is derived that determines the critical temperature as a function of the quantum-cylinder dimensions and the Aharonov-Bohm parameter. It is shown that the gap not only exhibits Aharonov—Bohm oscillations, but also oscillates with varying curvature of the cylindrical surface.

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Authors and Affiliations

  1. Moscow State University of Instrument Engineering and Computer Science, Moscow, 107996, Russia

    P. A. Eminov

  2. Moscow State Institute of Electronics and Mathematics (Technical University), Moscow, 109028, Russia

    Yu. I. Sezonov

Authors
  1. P. A. Eminov
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  2. Yu. I. Sezonov
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Correspondence to P. A. Eminov.

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Original Russian Text © P.A. Eminov, Yu.I. Sezonov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 134, No. 4, pp. 772–778.

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Eminov, P.A., Sezonov, Y.I. Superconductivity of the magnetized electron gas of a quantum cylinder. J. Exp. Theor. Phys. 107, 662–667 (2008). https://doi.org/10.1134/S1063776108100142

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  • DOI: https://doi.org/10.1134/S1063776108100142

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