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The determination of the electron-phonon interaction from tunneling data in the two-band superconductor MgB2

D. Daghero, R. S. Gonnelli, G. A. Ummarino, O. V. Dolgov, J. Kortus, A. A. Golubov, S. V. Shulga

cond-mat.supr-conarXiv:cond-mat/0305563

Abstract

We calculate the tunneling density of states (DOS) of MgB2 for different tunneling directions, by directly solving the real-axis, two-band Eliashberg equations (EE). Then we show that the numeric inversion of the standard single-band EE, if applied to the DOS of the two-band superconductor MgB2, may lead to wrong estimates of the strength of certain phonon branches (e.g. the E2g) in the extracted electron-phonon spectral function alpha(2)F(omega). The fine structures produced by the two-band interaction turn out to be clearly observable only for tunneling along the ab planes in high-quality single crystals. The results are compared to recent experimental data.

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