Josephson currents in quantum Hall devices

Michael Stone, Yiruo Lin

Research output: Contribution to journalArticlepeer-review


We consider a simple model for a superconductor/normal-metal/superconductor Josephson junction in which the "normal metal" is a section of a filling-factor ν=2 integer quantum Hall edge. We provide analytic expressions for the current/phase relations to all orders in the coupling between the superconductor and the quantum Hall edge modes, and for all temperatures. Our conclusions are consistent with the earlier perturbative study by Ma and Zyuzin [Europhys. Lett.EULEEJ0295-507510.1209/0295-5075/21/9/011 21, 941 (1993)]: The Josephson current is independent of the distance between the superconducting leads, and the upper bound on the maximum Josephson current is inversely proportional to the perimeter of the Hall device.

Original languageEnglish (US)
Article number224501
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number22
StatePublished - Jun 17 2011

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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