Non-Fermi liquid manifold in a Majorana device

Abstract

We propose and study a setup realizing a stable manifold of non-Fermi liquid states. The device consists of a mesoscopic superconducting island hosting $N\ge 3$ Majorana bound states tunnel-coupled to normal leads, with a Josephson contact to a bulk superconductor. We find a nontrivial interplay between multi-channel Kondo and resonant Andreev reflection processes, which results in the fixed point manifold. The scaling dimension of the leading irrelevant perturbation changes continuously within the manifold and determines the power-law scaling of the temperature dependent conductance.

5 pages, 2 figures

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• Tunneling spectroscopy of Majorana-Kondo devices
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Interaction-Induced Renormalization of Tunneling into Multiple Majorana End States of a Topological Superconducting Wire
• $6\pi$ Josephson effect in Majorana box devices
• Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
• Two-impurity helical Majorana problem