The impurity-limited resistance in quasi-one dimensional (quasi-1D) nanowires is studied under the framework of the Lippmann-Schwinger theory. The resistance of a cylindrical nanowire is calculated theoretically under various spatial configurations of localized impurities with a simplified short-range scattering potential and the effects of phase interference are explicitly evaluated. The space-average resistance is then calculated under the uniform distribution of impurities and we find that the space-average resistance at room temperature is well approximated by the uncorrelated series resistance even under the fully coherent circumstances. This is closely related to the "self-averaging" and its physical origin is clarified.
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