Fluctuation Resistivity in One-Dimensional Metals

Abstract
The resistivity of one-dimensional metals is calculated for two models in which impurity scattering is the only mechanism for dissipating momentum. In the first model, impurity scattering is added to the Fröhlich Hamiltonian. In the fluctuation regime above an incommensurate Peierls transition it is found that the resistivity is enhanced. For a general two-body interaction Hamiltonian it is found that charge-density-wave fluctuations predominate over Cooper-pair fluctuations leading to enhanced resistivity.