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We study multiterminal Majorana and conventional superconducting islands inthe vicinity of the charge degeneracy point using bosonization and numericalrenormalization group. Both models map to the multichannel charge Kondoproblem, but for noninteracting normal leads they flow to different non-Fermiliquid fixed points at low temperatures. We compare and contrast both cases bynumerically obtaining the full crossover to the low temperature regime andpredict distinctive transport signatures. We attribute the differences betweenboth types of islands to a crucial distinction of charge-$2e$ and charge-$e$transfer in the conventional and topological case, respectively. In theconventional case, our results establish s-wave islands as a new platform tostudy the intermediate multichannel Kondo fixed point. In the topological setupthe crossover temperature to non-Fermi liquid behavior is relatively high as itis proportional to level broadening and the transport results are not sensitiveto channel coupling anisotropy, moving away from the charge degeneracy point orincluding a small Majorana hybridization, which makes our proposalexperimentally feasible.

Multichannel charge Kondo effect and non-Fermi liquid fixed points in conventional and topological superconductor islands