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

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

2000-11-02

arxiv.org/abs/cond-mat/0011032v1

Phys. Rev. Lett. 86, 4715 (2001).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

1 page, 1 figure, RevTeX 4

Scientific paper

10.1103/PhysRevLett.86.4715

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law $\sigma(\omega) \propto \omega^2 \ln \omega^2$. 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.

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