We calculate the Nyquist noise contribution to the dephasing rate 1/\tau_{ nn}(omega, T) of disordered conductors in d dimensions in the regime where the frequency omega is larger than the temperature T. For systems with a continuous spectrum we find at zero temperature $1/ tau_{ nn} (omega, 0) propto nu_d^{ -1} (omega / D)^{ d/2}, which agrees qualitatively with the inelastic quasiparticle scattering rate. Here nu_d is d-dimensional density of states, and D is the diffusion coefficient. Because at zero frequency and finite temperatures 1 / tau_{ nn} (0, T) propto [ T / (nu_d { D}^{ d/2})]^{ 2 / (4-d)} for d < 2, the frequency-dependence of 1/ \tau_{ nn} (omega, 0) in reduced dimensions cannot be obtained by simply replacing T rightarrow omega in the corresponding finite-temperature expression for 1/ tau_{ nn} (0, T). We also discuss the dephasing rate in mesoscopic systems with length L and show that for omega < D /L^2 the spectrum is effectively continuous as far as transport is concerned. We propose weak localization measurements of the AC conductivity in the GHz-range to clarify the origin of the experimentally observed zero-temperature saturation of the dephasing rate.
Categories: cond-mat.dis-nn cond-mat.str-el