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1
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84927296578
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For recent reviews of this subject see Refs. 2–6, and references contained therein.
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2
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84927296577
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D. J. Thouless, Les Houches Session XXXI, La Matiere Mal Condensee (North-Holland, Amsterdam, 1979).
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7
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84927296576
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J. J. Lin, Ph.D. thesis, Purdue University, 1986 (unpublished); J. J. Lin and N. Giordano, Phys. Rev. B (in press).
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10
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84927296575
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Similar behavior, i.e., a ``rollover'' of τphi has been observed in other studies of this kind (see, e.g., Ref. 4). It is usually ascribed to a change in the temperature dependence of τi (due to a change in the dominant inelastic mechanism), rather than to magnetic scattering. However, in our case this explanation seems very unlikely, since the temperature dependence of τi would have to be extremely weak to account for the behavior we observe. No known scattering mechanisms have values of the exponent p (where {τi}wig T-p) which are small enough to be consistent with our results. Hence an explanation in terms of of magnetic scattering is much more plausible in the present case.
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16
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84927296574
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We note that direct least-squares fits to the data with p allowed to vary gave essentially the same results as this graphical method (see Ref. 7). Also, given possible systematic uncertainties, the best measure of the uncertainties in the derived parameters is probably not the standard error derived from the least-squares fits, but rather the sample to sample scatter in Figs. 2–4.
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19
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84927296573
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Note that this expression is slightly different from the one quoted by B. L. Al'tshuler and A. G. Aronov in Electron-Electron Interactions in Disordered Systems, edited by A. L. Efros and M. Pollak (Elsevier, Amsterdam, 1985), Chap. 1. However, the different expressions for τi are essentially equivalent, and the numerical difference is negligible for our purposes.
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20
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84927296572
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This result is the same as that obtained by Abrahams and co-workers.
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21
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84927296571
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See the discussion by E. Abrahams in Localization, Interaction, and Transport Phenomena, Ref. 5, p. 245;
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27
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84927296570
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We estimated the diffusion constant from the relation D = vF2τe/3, where τe is the elastic scattering time. The various parameters were estimated using free-electron theory in conjunction with the measured resistivity. We found D = 2.2cm2/sec for the as-prepared sputtered films. The values for the other samples scaled in the appropriate manner with the (measured) resistivity.
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29
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4244004744
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See, for example, Localization, Interaction, and Transport Phenomena, Ref. 5, and
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(1984)
Phys. Rev. B
, vol.29
, pp. 735
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Markiewicz, R.S.1
Rollins, C.J.2
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31
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84927296569
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It is surprising that the theory agrees better with the results for the high-resistivity samples, since the theory is expected to work best in the clean (i.e. low-resistivity) limit.
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