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On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction

Ioffe Physical-Technical Institute of the Russian Academy of Sciences, 194021 St.Petersburg, Russia
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Condens. Matter 2019, 4(3), 62; https://doi.org/10.3390/condmat4030062
Received: 21 April 2019 / Revised: 11 June 2019 / Accepted: 21 June 2019 / Published: 29 June 2019
We study the ground state of a one-dimensional channel with strong attractive electron–electron interactions at low temperatures. In spite of the fact that, at low temperatures, the ground state of one-dimensional attracting electrons is a state with a macroscopically large number of cooperons, the resulting superconducting phase has a number of significant differences. Namely, the order parameter (which should appear in the superconducting phase according to Landau’s phenomenological theory) turns out to be zero. However, elastic impurities implanted in a one-dimensional channel will not lead to dissipation of the supercurrent associated with the condensate movement as a whole. View Full-Text
Keywords: superconductivity; one-dimensional electrons superconductivity; one-dimensional electrons
MDPI and ACS Style

Afonin, V.V.; Gantsevich, S.V. On Superconductivity of One-Dimensional Channel with Strong Electron–Electron Interaction. Condens. Matter 2019, 4, 62.

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