Layered transition metal dichalcogenides have a rich phase diagram and they feature two-dimensionality in numerous physical properties. ${\mathrm{Co}}_{1/3}{\mathrm{NbS}}_2$ is one of the newest members of this family where Co atoms are intercalated into the van der Waals gaps between ${\mathrm{NbS}}_2$ layers. We study the three-dimensional electronic band structure of ${\mathrm{Co}}_{1/3}{\mathrm{NbS}}_2$ using both surface and bulk sensitive angle-resolved photoemission spectroscopy. We show that the electronic bands do not fit into the rigid band shift picture after the Co intercalation. Instead, ${\mathrm{Co}}_{1/3}{\mathrm{NbS}}_2$ displays a different orbital character near the Fermi level compared to the pristine ${\mathrm{NbS}}_2$ compound and has a clear band dispersion in the $k_z$ direction despite its layered structure. Our photoemission study demonstrates the out-of-plane electronic correlations introduced by the Co intercalation, thus offering a different perspective on this compound. Finally, we propose how Fermi level tuning could lead to exotic phases such as spin density wave instability.

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• Anomalous Hall effect
• Antiferromagnetism
• Atomic orbital
• Transition metal dichalcogenides
• Angle-resolved photoemission spectroscopy
• First-principles calculations
• Topology