Frequency-dependence of the Nyquist noise contribution to the dephasing rate in disordered conductors

Details Frequency-dependence of the Nyquist noise contribution to the dephasing rate in disordered conductors Frequency-dependence of the Nyquist noise contribution to the dephasing rate in disordered conductors

2001-06-11

arxiv.org/abs/cond-mat/0106201v2

Phys. Rev. B 65, 045112 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 1 figure, minor corrections, final version to appear in Phys Rev B

Scientific paper

10.1103/PhysRevB.65.045112

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.

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