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We present local tunneling spectroscopy experiments in the superconductingand ferromagnetic phases of the reentrant superconductor ErRh$_4$B$_{4}$. Thetunneling conductance curves jump from showing normal to superconductingfeatures within a few mK close to the ferromagnetic transition temperature,with a clear hysteretic behavior. Within the ferromagnetic phase, we do notdetect any superconducting correlations. Within the superconducting phase wefind a peculiar V-shaped density of states at low energies, which is producedby the magnetically modulated phase that coexists with superconductivity justbefore ferromagnetism sets in.

Evolution of the local superconducting density of states in ErRh$_4$B$_{4}$ close to the ferromagnetic transition