Phonon-assisted electronic topological transition in MgB2 under pressure

We report measurements of the superconducting critical temperature Tc of polycrystalline MgB2 samples containing isotopically pure (10)B and (11)B under quasi-hydrostatic pressure conditions in He pressure media up to 44 GPa. Measurements to volume compressions V/V_0 ~ 0.82 allow us to observe a kink in the volume dependence of Tc for Mg(10)B2 (at 20 GPa) and Mg(11)B2 (at 15 GPa). The pressure dependence of the E(2g) mode also changes abruptly around 20 GPa for the Mg(10)B2 sample. The anharmonic character of the E(2g) phonon mode and anomalies in Tc pressure dependence are interpreted as the result of a phonon-assisted Lifshitz electronic topological transition.