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Cooper-pair tunneling into a quantum Hall fluid

Matthew P. A. Fisher

DOI 10.1103/PhysRevB.49.14550 · Physical Review B

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Abstract

Transport through a tunnel junction connecting a superconductor to a spin-aligned quantum Hall fluid at filling ν is studied theoretically. The dominant transport channel at low temperatures is the tunneling of Cooper pairs into edge states of the quantum Hall fluid. This process, which is greatly suppressed at low energies due to both Coulomb and Pauli exclusion effects, leads to a tunneling conductance which vanishes with temperatures as T4/ν−2, for ν−1 an odd integer. For integer filings with ν>1 the ‘‘Pauli blockade’’ is circumvented and a nonvanishing conductance is predicted.

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