The optical conductivity of the quasi one-dimensional conductors: the role of forward scattering by impurities

Physics – Condensed Matter – Strongly Correlated Electrons

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5 RevTex pages; more careful comparison with experiments and discussion of interchain hopping added; some references added; to

Scientific paper

10.1103/PhysRevB.59.9961

We calculate the average conductivity sigma (omega) of interacting electrons in one dimension in the presence of a long-range random potential (forward scattering disorder). Taking the curvature of the energy dispersion into account, we show that weak disorder leads to a transport scattering rate that vanishes as omega^2 for small frequency omega. This implies that the real part of the conductivity remains finite for omega -> 0, while the imaginary part diverges. These effects are lost within the usual bosonization approach, which relies on the linearization of the energy dispersion. We discuss our result in the light of a recent experiment.

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