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Van Hove singularity are electronic instabilities that lead to manyfascinating interactions, such as superconductivity and charge-density waves.And despite much interest, the nexus of emergent correlation effects from vanHove singularities and topological states of matter remains little explored inexperiments. By utilizing synchrotron-based angle-resolved photoemissionspectroscopy and Density Functional Theory, here we provide the first discoveryof the helicoid quantum nature of topological Fermi arcs inducing van Hovesingularities. In particular, in topological chiral conductors RhSi and CoSi wedirectly observed multiple types of inter- and intra-helicoid-arc mediatedsingularities, which includes the type-I and type-II van Hove singularity. Wefurther demonstrate that the energy of the helicoid-arc singularities areeasily tuned by chemical engineering. Taken together, our work provides apromising route to engineering new electronic instabilities in topologicalquantum materials.

Helicoid-arc van Hove singularities in topological chiral crystals