Theoretical analysis of tunneling experiments in the MgB2 system

A detailed theoretical analysis of the experimental data obtained earlier in the studies of the tunneling spectra in the MgB₂ two-band superconducting system has been performed. It is shown that most these data are well described in the generalized two-band Bardeen-Cooper-Schrieffer theory with the constants of the intraband electron-phonon interaction that reasonably coincide with the ab initio calculation results. It is shown that the existence of specific collective excitation in this system induced by oscillations of the relative phase of two superconducting condensates (the Leggett mode) indicates the overestimation of the constants of the interband electron-phonon interaction in the ab initio calculations. The dependences of the superconducting gaps and the Leggett mode frequency on the temperature and the disorder degree in the Mg_{1 − x} Al _x B₂ system have been thoroughly studied.