Electron Teleportation in Multi-Terminal Majorana Islands: Statistical Transmutation and Fractional Quantum Conductance

Abstract

We study a topological superconductor island with spatially separated Majorana modes coupled to multiple normal metal leads by single electron tunneling in the Coulomb blockade regime. We show that low-temperature transport in such Majorana island is carried by an emergent charge-$e$ boson composed of a Majorana mode and an electron from the leads. This transmutation from Fermi to Bose statistics has remarkable consequences. For noninteracting leads, the system flows to a non-Fermi liquid fixed point, which is stable against tunnel couplings anisotropy or detuning away from the charge-degeneracy point. As a result, the system exhibits a universal conductance at zero temperature, which is a fraction of the conductance quantum, and low-temperature corrections with a universal power-law exponent. In addition, we consider Majorana islands connected to interacting one-dimensional leads, and find different stable fixed points near and far from the charge-degeneracy point.

10+ pages, 5 figures

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• Does delta-$T$ noise probe quantum statistics?
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Multichannel charge Kondo effect and non-Fermi liquid fixed points in conventional and topological superconductor islands
• Theory of Coulomb blockaded transport in realistic Majorana nanowires
• Transport properties of Majorana bound states networks in the Coulomb blockade regime
• Signatures of topological ground state degeneracy in Majorana islands
• Interference and parity blockade in transport through a Majorana box
• Multichannel topological Kondo effect
• Quantum transport in coupled Majorana box systems
• Transconducting transition for a dynamic boundary coupled to several Luttinger liquids
• Topologically protected heat pumping from braiding Majorana zero modes
• The topological Kondo model out of equilibrium
• Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
• Screening cloud and non-Fermi-liquid scattering in topological Kondo devices
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• Miraging a Majorana
• Spin and thermal current scaling at a $Y$-junction of XX spin chains