Coulomb blockade in fractional topological superconductors
Younghyun Kima, D. Clarkeb c d, R. Lutchyne
- aPhysics Department, University of California, Santa Barbara, California 93106, USA
- bCondensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- cJoint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA
- dStation Q, College Park, Maryland 20742, USA
- eStation Q, Microsoft Research, Santa Barbara, California 93106-6105, USA
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Abstract
We study charge transport through a floating mesoscopic superconductor coupled to counterpropagating fractional quantum Hall edges at filling fraction $\ensuremath{\nu}=2/3$. 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 $\ensuremath{\nu}{e}^{2}/h$ independent of the applied gate voltage.