Ideal resistivity in one dimension

Anupam Madhukar, Morrel H. Cohen

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We analyze the ideal resistivity, ρ, of a one-dimensional metal at high temperatures. We have adapted a diagrammatic technique introduced by Berezinskii in the context of static disorder. Retaining the dominant vertices in the limit of vanishing electron-phonon coupling constant, g, and phonon frequency, Ω0, with g2Ω0 finite, we obtain a dc resistivity ρT2 instead of T. The result may be interpreted in terms of diffusion of electrons.

Original languageEnglish (US)
Pages (from-to)85-88
Number of pages4
JournalPhysical review letters
Issue number2
StatePublished - 1977
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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