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Andreev processes in mesoscopic multiterminal graphene Josephson junctions

Fan Zhang1, Asmaul Smitha Rashid2, Mostafa Tanhayi Ahari3, Wei Zhang2, Krishnan Mekkanamkulam Ananthanarayanan2, Run Xiao1, George J. de Coster4, Matthew J. Gilbert3,5, Nitin Samarth1,* et al.

Morteza Kayyalha2,†

  • 1Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 2Department of Electrical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 3Materials Research Laboratory, The Grainger College of Engineering, University of Illinois, Urbana-Champaign, Illinois 61801, USA
  • 4DEVCOM Army Research Laboratory, 2800 Powder Mill Rd, Adelphi, Maryland 20783, USA
  • 5Department of Electrical Engineering, University of Illinois, Urbana-Champaign, Illinois 61801, USA

  • *Corresponding author: nsamarth@psu.edu
  • †Corresponding author: mzk463@psu.edu

Phys. Rev. B 107, L140503 – Published 12 April, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L140503

Abstract

There is growing interest in using multiterminal Josephson junctions (MTJJs) as a platform to artificially emulate topological phases and to investigate superconducting mechanisms such as multiplet Cooper pairings. Current experimental signatures in MTJJs have led to conflicting interpretations of the salient features. In this work, we report a collaborative experimental and theoretical investigation of graphene-based four-terminal Josephson junctions. We observe resonant features in the differential resistance maps that resemble those ascribed to multiplet Cooper pairings. To understand these features, we model our junctions using a circuit network of resistively and capacitively shunted junctions (RCSJs). We find that the RCSJ model successfully reproduces the observed multiplet features. Therefore, our study suggests that differential resistance measurements alone are insufficient to conclusively distinguish resonant Andreev reflection processes from semiclassical circuit-network effects.

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