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Extensive scanning tunnelling microscopy and spectroscopy experimentscomplemented by first principles and parameterized tight binding calculationsprovide a clear answer to the existence, origin and robustness of van Hovesingularities (vHs) in twisted graphene layers. Our results are conclusive: vHsdue to interlayer coupling are ubiquitously present in a broad range (from1{\deg} to 10{\deg}) of rotation angles in our graphene on 6H-SiC(000-1)samples. From the variation of the energy separation of the vHs with rotationangle we are able to recover the Fermi velocity of a graphene monolayer as wellas the strength of the interlayer interaction. The robustness of the vHs isassessed both by experiments, which show that they survive in the presence of athird graphene layer, and calculations, which test the role of the periodicmodulation and absolute value of the interlayer distance. Finally, we clarifythe origin of the related moir\'e corrugation detected in the STM images.

Unravelling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene