We have shown that the one-dimensional interacting electron gas carrying dc current I should exhibit single-electron singularities at frequency ${\mathrm{\omega }}_{\mathit{s}}$=2πI/e for arbitrary strength of electron-electron interaction. These singularities arise due to Coulomb or Fermi correlations between electrons in the gas. Depending on the strength of the interaction the frequency ${\mathrm{\omega }}_{\mathit{s}}$ can be interpreted either as a frequency of the single-electron oscillations or the cutoff frequency of the shot noise associated with the current I.

• Received 18 May 1993

DOI:https://doi.org/10.1103/PhysRevB.49.2951