English

Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model

Condensed Matter 2009-10-22 v1

Abstract

We study the response of the interacting electron gas in one dimension on the local external potential. In the low frequency limit the power-law singularities are essentially modifyed by backscattering effects which, in the case of zero forward scattering, result in the universal critical exponent depending only on the Luttinger-liquid interactions. The results obtained may be used to describe singular responses of the 1D boson chains.

Keywords

Cite

@article{arxiv.cond-mat/9306040,
  title  = {Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model},
  author = {N. V. Prokof'ev},
  journal= {arXiv preprint arXiv:cond-mat/9306040},
  year   = {2009}
}

Comments

11 pages in LaTex, UBCTP-NP-93-003

R2 v1 2026-07-22T11:46:08.141Z