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Self-energy Effect of Superconducting Energy Gap in Point-Contact Spectra of MgB$_2$

arXiv:cond-mat/0310577

Abstract

In strong-coupling superconductors with a short electron mean free path the self-energy effects in the superconducting order parameter play a major role in the phonon manifestation of the point-contact spectra at the above-gap energies. We derive asymptotic expressions of the phonon structure in MgB$%_{2}$ in the case $eV\ggΔ$ for tunnel, ballistic, and diffusive point-contacts and show that these expressions not only qualitatively, but also semi-quantitatively correspond to the measurements of the phonon structure in the point-contact spectra for the $π$-band of MgB$_{2}$ c-axis oriented thin films.

4 pages, 4 figures