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

Strongly Correlated Electrons 2019-09-13 v1 Superconductivity

Abstract

We study the ground state of one-dimensional channel with strong attractive electron-electron interaction 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.

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Cite

@article{arxiv.1909.05629,
  title  = {On Superconductivity of One-Dimensional Channel with Strong Electron-Electron Interaction},
  author = {V. V. Afonin and S. V. Gantsevich},
  journal= {arXiv preprint arXiv:1909.05629},
  year   = {2019}
}

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15 pages