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Hall Effect in Quasi One-Dimensional Organic Conductors

We study the Hall effect in a system of weakly coupled Luttinger Liquid chains, using a Memory function approach to compute the Hall constant in the presence of umklapp scattering along the chains. In this approximation, the Hall constant decomposes into two terms: a high-frequency term and a Memory function term. For the case of zero umklapp scattering, where the Memory function vanishes, the Hall constant is simply the band value, in agreement with former results in a similar model with no dissipation along the chains. With umklapp scattering along the chains, we find a power-law temperature dependance of the Hall constant. We discuss the applications to quasi 1D organic conductors at high temperatures.

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León, G., Giamarchi, T. Hall Effect in Quasi One-Dimensional Organic Conductors. J Low Temp Phys 142, 319–322 (2006). https://doi.org/10.1007/s10909-006-9180-1

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  • DOI: https://doi.org/10.1007/s10909-006-9180-1

PACS numbers

  • 71.10.Pm
  • 71.10.Hf
  • 71.27.+a
  • 72.80.-r
  • 72.80.Le