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A topological superconducting wire with an effective time reversal symmetryis known to have a $\mathbb{Z}_8$ topological classification in the presence ofinteractions. The topological index $|n| \le 4$ counts the number of Majoranaend states, negative $n$ corresponding to end states that are odd under timereversal. If such a wire is weakly coupled to a normal-metal lead, interactionsinduce a Kondo-like correlated state if $|n| = 4$. We show that the Kondo-likestate manifests itself in an anomalous temperature dependence of the zero-biasconductance and by an anomalous Fano factor for the zero-temperaturenormally-reflected current at finite bias. We also consider the splitting ofthe effective Kondo resonance for weak symmetry-breaking perturbations.

Transport signatures of interacting fermions in quasi-one-dimensional topological superconductors