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

TL;DR

This paper investigates the unique superconducting properties of a one-dimensional electron channel with strong attractive interactions, revealing a phase with zero order parameter but persistent supercurrent unaffected by impurities.

Contribution

It demonstrates that in a 1D attractive electron system, superconductivity features a zero order parameter yet maintains supercurrent flow, challenging traditional Landau theory expectations.

Findings

Superconducting phase has zero order parameter.

Supercurrent persists despite impurities.

Ground state involves a large number of cooperons.

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.