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Coulomb blockade in fractional topological superconductors

Younghyun Kim, David J. Clarke, Roman M. Lutchyn

DOI 10.1103/PhysRevB.96.041123 · Physical Review B

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Abstract

We study charge transport through a floating mesoscopic superconductor coupled to counterpropagating fractional quantum Hall edges at filling fraction ν=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 νe2/h independent of the applied gate voltage.

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