Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model

Abstract

We study Kondo screening obtained by coupling Majorana bound states, located on a topological superconducting island, to interacting electronic reservoirs. At the charge degeneracy points of the island, we formulate an exact mapping onto the spin-$1/2$ multi-channel Kondo effect. The coupling to Majorana fermions transforms the tunneling terms into effective fermionic bilinear contributions with a Luttinger parameter $K$ in the leads that is effectively doubled. For strong interaction, $K=1/2$, the intermediate fixed point of the standard multi-channel Kondo model is exactly recovered. It evolves with $K$ and connects to strong coupling in non-interacting case $K=1$, with maximum conductance between the leads and robustness against channel asymmetries similarly to the topological Kondo effect. For a number of leads above four, there exists a window of Luttinger parameters in which a quantum phase transition can occur between the strong coupling topological Kondo state and the partially conducting multi-channel Kondo state.

15 pages, 3 figures, to be submitted to PRB - figure compilation solved

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• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Epitaxy of Semiconductor-Superconductor nanowires
• Observation of the two-channel Kondo effect
• Topological Kondo effect with Majorana fermions
• Non-Fermi liquid manifold in a Majorana device
• Tunneling spectroscopy of Majorana-Kondo devices

Cited by in corpus (12)

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• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Does delta-$T$ noise probe quantum statistics?
• Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
• Topological symplectic Kondo effect
• Multichannel topological Kondo effect
• Interference and parity blockade in transport through a Majorana box
• Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island
• The topological Kondo model out of equilibrium
• Embedded Majorana Islands
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case