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J. Liu and N. Giordano, Phys. Rev. B 43, 3928 (1991). Notice that a low value of the temperature exponent (Formula presented)1.4) for the (Formula presented)-ph scattering rate is reported in this work, which is not understood.
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The (Formula presented) scattering rate in 3D disordered metals is given by (Formula presented), where (Formula presented) is the Fermi energy. See, A. Schmid, Z. Phys. B 271, 251 (1974).
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Ref. 19; and W. B. Jian, M.S. thesis, National Taiwan University, 1996.] This situation makes it less desirable for a quantitative separation of (Formula presented) from the measured (Formula presented) We find that, for all our titanium alloys having (Formula presented) below 1.6 K, at (Formula presented) above 3 K or so the electron-superconducting-fluctuation scattering is negligibly weak compared with the (Formula presented)-ph scattering. On the other hand, the WL contributions to (Formula presented) in our bulk samples are too small to be correctly detected above about 15 K. (Notice that WL effects are generally smaller in 3D than in two dimensions.) These considerations taken together lead to an experimental temperature window of (Formula presented) 3-15 K
-
In practice, at temperatures above but sufficiently close to (Formula presented) in addition to the (Formula presented)-ph scattering, scattering of the conduction electrons by superconducting fluctuations might also contribute to the total (Formula presented) This additional scattering could cause a leveling-off and, finally, a divergence of the electron dephasing scattering rate as (Formula presented) approaches (Formula presented) [See, e.g., W. Brenig, M. C. Chang, E. Abrahams, and P. Wolfle, Phys. Rev. B 31, 7001 (1985); Ref. 19;and W. B. Jian, M.S. thesis, National Taiwan University, 1996.] This situation makes it less desirable for a quantitative separation of (Formula presented) from the measured (Formula presented) We find that, for all our titanium alloys having (Formula presented) below 1.6 K, at (Formula presented) above 3 K or so the electron-superconducting-fluctuation scattering is negligibly weak compared with the (Formula presented)-ph scattering. On the other hand, the WL contributions to (Formula presented) in our bulk samples are too small to be correctly detected above about 15 K. (Notice that WL effects are generally smaller in 3D than in two dimensions.) These considerations taken together lead to an experimental temperature window of (Formula presented) 3-15 K.
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It is established that, in 3D, the (Formula presented) interaction contribution is of prime importance in determining the temperature dependence of (Formula presented), while the WL contribution can be ignored. See, e.g., P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
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