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The London penetration depth, $\lambda (T)$ was measured in single crystalsof Ce$_{1-x}R_x$CoIn$_5$, $R$=La, Nd and Yb down to 50~mK ($T_c/T \sim$50)using a tunnel-diode resonator. In the cleanest samples $\Delta \lambda (T)$ isbest described by the power law, $\Delta \lambda (T) \propto T^{n}$, with $n\sim 1$, consistent with line nodes. Substitutions of Ce with La, Nd and Yblead to similar monotonic suppressions of $T_c$, however the effects on $\Delta\lambda(T)$ differ. While La and Nd doping results in an increase of theexponent to $n \sim 2$, as expected for a dirty nodal superconductor, Yb dopingleads to $n > 3$, inconsistent with nodes, suggesting a change from nodal tonodeless superconductivity where Fermi surface topology changes were reported,implying that the nodal structure and Fermi surface topology are closelylinked.

Evolution of the superconducting energy gap structure concomitant with Fermi surface reconstruction in the heavy-fermion superconductor CeCoIn5