Temperature dependence of the resistance of one-dimensional metal films with dominant Nyquist phase breaking

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Abstract
We report the results of a comprehensive study of the temperature dependences of the resistance of one-dimensional narrow gold films with respect to the effects of weak localization (WL) and electron-electron interaction (EEI) in a wide temperature range. The electron wave-function coherence for such samples is limited by electron-electron collisions with small energy transfer (the Nyquist phase-breaking mechanism). It is shown that the temperature dependence of the WL contribution to the resistance, obtained for such a case, is in excellent agreement with the theory by Altshuler, Aronov, and Khmelnitskii. The experimental dependences ΔR(T) for one-dimensional samples are described quantitatively by the sum of the WL contribution, the contribution of the singlet part of the diffusion channel of EEI, and the contribution of the quantum interference between electron-phonon and electron-impurity scattering.