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arXiv · 1703.00498

Coulomb Blockade in Fractional Topological Superconductors

Younghyun Kim·David J. Clarke·Roman M. Lutchyn
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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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Younghyun Kim, David J. Clarke, Roman M. Lutchyn. 2017-03-01. Coulomb Blockade in Fractional Topological Superconductors. https://doi.org/10.1103/physrevb.96.041123

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