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We investigated CeCoIn$_5$ and LaCoIn$_5$ single crystals, which have thesame HoCoGa$_5$-type tetragonal crystal structure, using infrared spectroscopy.However, while CeCoIn$_5$ has 4$f$ electrons, LaCoIn$_5$ does not. By comparingthese two material systems, we extracted the temperature-dependent electronicevolution of the $f$ electrons of CeCoIn$_5$. We observed that the differencescaused by the $f$ electrons are more obvious in low-energy optical spectra atlow temperatures. We introduced a complex optical resistivity and obtained amagnetic optical resistivity from the difference in the optical resistivityspectra of the two material systems. From the temperature-dependent averagemagnetic resistivity, we found that the onset temperature of the Kondo effectis much higher than the known onset temperature of Kondo scattering ($\simeq$200 K) of CeCoIn$_5$. Based on momentum-dependent hybridization, the periodicAnderson model, and a maximum entropy approach, we obtained the hybridizationgap distribution function of CeCoIn$_5$ and found that the resulting gapdistribution function of CeCoIn$_5$ was mainly composed of two (small andlarge) components (or gaps). We assigned the small and large gaps to thein-plane and out-of-plane hybridization gaps, respectively. We expect that ourresults will provide useful information for understanding thetemperature-dependent electronic evolution of $f$-electron systems near Fermilevel.

Temperature-dependent $f$-electron evolution in CeCoIn$_5$ via a comparative infrared study with LaCoIn$_5$