Current correlations of Cooper-pair tunneling into a quantum Hall system

Abstract

We study Cooper pair transport through a quantum point contact between a superconductor and a quantum Hall edge state at integer and fractional filling factors. We calculate the tunnelling current and its finite-frequency noise to the leading order in the tunneling amplitude for dc and ac bias voltage in the limit of low temperatures. At zero temperature and in case of tunnelling into a single edge channel both the conductance and differential shot noise vanish as a result of Pauli exclusion principle. In contrast, in the presence of two edge channels, this Pauli blockade is softened and a non-zero conductance and shot noise are revealed.

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Cited by in corpus (12)

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• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction
• Can Majorana zero modes in quantum Hall edges survive edge reconstruction?
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors