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We report a detailed study of tunneling spectra measured on2H-Ta$_x$Nb$_{1-x}$Se$_2$ ($x=0\sim 0.1$) single crystals using alow-temperature scanning tunneling microscope. The prominent gap-like featureunintelligible for a long time was found to be accompanied by some "in-gap"fine structures. By investigating the second-derivative spectra and theirtemperature and magnetic field dependencies, we were able to prove thatinelastic electron tunneling is the origin of these features and obtain theEliashberg function of 2H-Ta$_x$Nb$_{1-x}$Se$_2$ at atomic scale, providing apotential way to study the local Eliashberg function and phonon spectra of therelated transition-metal dichalcogenides.

Inelastic electron tunneling in 2H-Ta$_x$Nb$_{1-x}$Se$_2$ evidenced by scanning tunneling spectroscopy