Effects of Long-Range Coulomb Interaction on Resistivity of a Quantum Wire

Effects of long-range Coulomb interaction on the temperature dependence of the resistivity due to impurity scattering have been investigated for a single-channel quantum wire. The resistivity is seen to diverge as T →0, as in the case of the Luttinger liquid with interaction constants independent of momentum transfer, but in the present case, the effective value of the exponent itself depends on T reflecting the logarithmic momentum dependence of the long-range interaction.

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