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Detection of Valley Polarization in Graphene by a Superconducting Contact

A. R. Akhmerov, C. W. J. Beenakker

DOI 10.1103/PhysRevLett.98.157003 · Physical Review Letters

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Abstract

Because the valleys in the band structure of graphene are related by time-reversal symmetry, electrons from one valley are reflected as holes from the other valley at the junction with a superconductor. We show how this Andreev reflection can be used to detect the valley polarization of edge states produced by a magnetic field. In the absence of intervalley relaxation, the conductance GNS=(2e2/h)(1−cosΘ) of the junction on the lowest quantum Hall plateau is entirely determined by the angle Θ between the valley isospins of the edge states approaching and leaving the superconductor. If the superconductor covers a single edge, Θ=0 and no current can enter the superconductor. A measurement of GNS then determines the intervalley relaxation time.

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FormulaReported Tc (K)Pressure (GPa)Type
Nb

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—Pressure not reportedunknown

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