Coulomb Blockade in Fractional Topological Superconductors

Abstract

We study charge transport through a floating mesoscopic superconductor coupled to counterpropagating fractional quantum Hall edges at filling fraction $\nu =2/3$. We consider a superconducting island with finite charging energy and investigate its effect on transport through the device. We calculate conductance through such a system as a function of temperature and gate voltage applied to the superconducting island. We show that transport is strongly affected by the presence of parafermionic zero modes, leading at zero temperature to a zero-bias conductance quantized in units of $\nu e^2/h$ independent of the applied gate voltage.

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Cited by in corpus (7)

• Number conserving analysis of measurement-based braiding with Majorana zero modes
• Measurement and control of a Coulomb-blockaded parafermion box
• Parafermionic generalization of the topological Kondo effect
• Readout of parafermionic states by transport measurements
• Parafermions in a multilegged geometry: Towards a scalable parafermionic network
• Signatures of topological ground state degeneracy in Majorana islands
• Dynamics of parafermionic states in transport measurements