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A key issue in heavy fermion research is how subtle changes in thehybridization between the 4$f$ (5$f$) and conduction electrons can result infundamentally different ground states. CeRhIn$_5$ stands out as a particularlynotable example: replacing Rh by either Co or Ir, located above or below Rh inthe periodic table, antiferromagnetism gives way to superconductivity. In thisphotoemission study of CeRhIn$_5$, we demonstrate that the use of resonantARPES with polarized light allows to extract detailed information on the 4$f$crystal field states and details on the 4$f$ and conduction electronhybridization which together determine the ground state. We directly observeweakly dispersive Kondo resonances of $f$-electrons and identify two of thethree Ce $4f_{5/2}^{1}$ crystal-electric-field levels and band-dependenthybridization, which signals that the hybridization occurs primarily betweenthe Ce $4f$ states in the CeIn$_3$ layer and two more three-dimensional bandscomposed of the Rh $4d$ and In $5p$ orbitals in the RhIn$_2$ layer. Our resultsallow to connect the properties observed at elevated temperatures with theunusual low-temperature properties of this enigmatic heavy fermion compound.

Band dependent inter-layer $f$-electron hybridization in CeRhIn$_5$