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6 páginas, 4 figuras, 1 tabla.-- PACS number(s): 63.20.kd, 71.15.Rf, 63.20.dk, 71.15.Mb.-- et al.The influence of spin-orbit coupling (SOC) on the electron-phonon interaction and on the pairing strength is investigated for Pb and Tl within density-functional theory. For Pb we find that SOC increases the coupling constant λ by 44%, solving the longstanding puzzle of too small λ values obtained consistently in previous first-principles calculations. The origin of the SOC-induced enhancement of λ lies both in a softening of the phonon spectrum and in an increase in the electron-phonon coupling matrix elements. In contrast, for the neighboring element Tl only weak effects of SOC on the phonon spectrum and the electron-phonon interaction is obtained, leading to an overall reduction in λ by 12%. In both cases, the inclusion of SOC improves the agreement with experiment.Peer reviewe

Effect of spin-orbit coupling on the electron-phonon interaction of the superconductors Pb and Tl