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

Abstract

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

13 pages, 3 figures

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• Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
• Simulating Floquet topological phases in static systems
• Transport properties of an interacting Majorana chain
• Topologically protected heat pumping from braiding Majorana zero modes