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The recent discovery of superconductivity and magnetism in trilayerrhombohedral graphene (RG) establishes an ideal, untwisted platform to studystrong correlation electronic phenomena. However, the correlated effects inmultilayer RG have received limited attention, and, particularly, the evolutionof the correlations with increasing layer number remains an unresolvedquestion. Here, we show the observation of layer-dependent electronicstructures and correlations in RG multilayers from 3 to 9 layers by usingscanning tunneling microscopy and spectroscopy. We explicitly determinelayer-enhanced low-energy flat bands and interlayer coupling strength. Theformer directly demonstrates the further flattening of low-energy bands inthicker RG, and the later indicates the presence of varying interlayerinteractions in RG multilayers. Moreover, we find significant splitting of theflat bands, ranging from ~50-80 meV, under liquid nitrogen temperature whenthey are partially filled, indicating the emergence of interaction-inducedstrongly correlated states. Particularly, the strength of the correlated statesis notably enhanced in thicker RG and reaches its maximum in the six-layer,validating directly theoretical predictions and establishing abundant newcandidates for strongly correlated systems. Our results provide valuableinsights into the layer dependence of the electronic properties in RG, pavingthe way for investigating robust and highly accessible correlated phases insimpler systems.

Layer-dependent evolution of electronic structures and correlations in rhombohedral multilayer graphene