English

Comment on ``Analytic Structure of One-Dimensional Localization Theory: Re-Examining Mott's Law''

Mesoscale and Nanoscale Physics 2009-10-31 v1

Abstract

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law σ(ω)ω2lnω2\sigma(\omega) \propto \omega^2 \ln \omega^2. In a recent Letter [Phys. Rev. Lett. 84, 1760 (2000)] A. O. Gogolin claimed that this law is invalid, challenging our basic understanding of disordered systems and a massive amount of previous theoretical work. We point out two calculational errors in Gogolin's paper. Once we correct them, the Mott-Berezinskii formula is fully recovered. We also present numerical results supporting the Mott-Berezinskii formula but ruling out that of Gogolin.

Keywords

Cite

@article{arxiv.cond-mat/0011032,
  title  = {Comment on ``Analytic Structure of One-Dimensional Localization Theory: Re-Examining Mott's Law''},
  author = {Michael M. Fogler and Ziqiang Wang},
  journal= {arXiv preprint arXiv:cond-mat/0011032},
  year   = {2009}
}

Comments

1 page, 1 figure, RevTeX 4