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We performed a high energy resolution ARPES investigation of over-dopedBa0.1K0.9Fe2As2 with T_c= 9 K. The Fermi surface topology of this material issimilar to that of KFe2As2 and differs from that of slightly less dopedBa0.3K0.7Fe2As2, implying that a Lifshitz transition occurred between x=0.7 andx=0.9. Albeit for a vertical node found at the tip of the emergingoff-M-centered Fermi surface pocket lobes, the superconducting gap structure issimilar to that of Ba0.3K0.7Fe2As2, suggesting that the paring interaction isnot driven by the Fermi surface topology.

Possible nodal superconducting gap emerging at the Lifshitz transition in heavily hole-doped Ba0.1K0.9Fe2As2