Physics – Condensed Matter – Superconductivity
Scientific paper
2001-07-23
Physical Review Letters 87 247001 (2001)
Physics
Condensed Matter
Superconductivity
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.87.247001
Recent optical studies in c-axis oriented superconducting MgB$_2$ films indicate that the electron-phonon coupling is weak [tu01]. We reinforce this conclusion by examining the raw reflectance data; its frequency dependence is incompatible with strong electron-phonon scattering. This is further strengthened by analysis of the real part of the conductivity, and by the temperature dependence of the effective Drude scattering rate. Using a realistic electron-phonon spectral shape [kong01], we find $\lambda_{\rm tr} \approx 0.15$, in agreement with Tu et al. [tu01]. To the extent that $\lambda_{\rm tr} \approx \lambda$, this disagrees sharply with model calculations [kong01,kortus01,an01], and is far too low to provide the means for $T_c = 39 $ K. A simple model is constructed with coupling to a high frequency excitation, which is consistent with both the low frequency optical data and the high $T_c$.
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