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

Michael M. Fogler·Ziqiang Wang
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Abstract

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law $σ(ω) \propto ω^2 \ln ω^2$. 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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Michael M. Fogler, Ziqiang Wang. 2000-11-02. Comment on ``Analytic Structure of One-Dimensional Localization Theory: Re-Examining Mott's Law''. https://doi.org/10.1103/physrevlett.86.4715

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