Kavli Affiliate: Jing Wang
| First 5 Authors: Yichen Hu, Jing Wang, Biao Lian, ,
| Summary:
We study the probability distribution of the resistance, or equivalently the
charge transmission, of a decoherent quantum Hall-superconductor edge, with the
decoherence coming from metallic puddles along the edge. Such metallic puddles
may originate from magnetic vortex cores or other superconductivity suppressing
perturbations. In contrast to the distribution of a coherent edge which is
peaked away from zero charge transmission, we show analytically and numerically
that the distribution of a decoherent edge with metallic puddles is always
peaked at zero charge transmission, which serves as a probe of coherence of
superconducting chiral edge states. We further show that the distribution width
decays exponentially in magnetic field and temperature. Our theoretical
decoherent distribution agrees well with the recent experimental observation in
graphene with superconducting proximity.
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