The low-temperature behavior of the electron phase coherence time, , in mesoscopic metal wires has been a subject of controversy recently. Whereas theory predicts that in narrow wires should increase as as the temperature is lowered, many samples exhibit a saturation of below about 1 K. We review here the experiments we have performed recently to address this issue. In particular we emphasize that in sufficiently pure Ag and Au samples we observe no saturation of down to our base temperature of 40 mK. In addition, the measured magnitude of is in excellent quantitative agreement with the prediction of the perturbative theory of Altshuler, Aronov and Khmelnitskii. We discuss possible explanations why saturation of is observed in many other samples measured in our laboratory and elsewhere, and answer the criticisms raised recently by Mohanty and Webb regarding our work.

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