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We report on the interplay between a van Hove singularity and a chargedensity wave state in 2H-TaSe$_{2}$. We use angle-resolved photoemissionspectroscopy to investigate changes in the Fermi surface of this material undersurface doping with potassium. At high doping, we observe modifications whichimply the disappearance of the $(3\times 3)$ charge density wave and formationof a different correlated state. Using a tight-binding-based approach as wellas an effective model, we explain our observations as a consequence of couplingbetween the single-particle Lifshitz transition during which the Fermi levelpasses a van Hove singularity and the charge density order. In this scenario,the high electronic density of states associated with the van Hove singularityinduces a change in the periodicity of the charge density wave from the known$(3\times 3)$ to a new $(2\times 2)$ superlattice.

Controlling charge density order in 2H-TaSe$_{2}$ using a van Hove singularity