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Josephson coupling between superconducting islands on single- and bi-layer graphene
KTH, School of Engineering Sciences (SCI), Theoretical Physics. KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.ORCID iD: 0000-0002-4024-2704
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Institute for Materials Science, Los Alamos, NM, United States.
2016 (English)In: Superconductors Science and Technology, ISSN 0953-2048, E-ISSN 1361-6668, Vol. 29, no 5, article id 054004Article in journal (Refereed) Published
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Abstract [en]

We study the Josephson coupling of superconducting (SC) islands through the surface of single-layer graphene (SLG) and bilayer graphene (BLG) in the long-junction regime, as a function of the distance between the grains, temperature, chemical potential and external (transverse) gate-voltage. For SLG, we provide a comparison with existing literature. The proximity effect is analyzed through a Matsubara Green's function approach. This represents the first step in a discussion of the conditions for the onset of a granular superconductivity within the film, made possible by Josephson currents flowing between superconductors. To ensure phase coherence over the 2D sample, a random spatial distribution can be assumed for the SC islands on the SLG sheet (or intercalating the BLG sheets). The tunable gate-voltage-induced band gap of BLG affects the asymptotic decay of the Josephson coupling-distance characteristic for each pair of SC islands in the sample, which results in a qualitatively strong field dependence of the relation between Berezinskii-Kosterlitz-Thouless transition critical temperature and gate voltage.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2016. Vol. 29, no 5, article id 054004
Keywords [en]
bilayer graphene, graphene, Josephson coupling, long-junction regime, supercurrent
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URN: urn:nbn:se:kth:diva-187221DOI: 10.1088/0953-2048/29/5/054004ISI: 000375572100007Scopus ID: 2-s2.0-84963682370OAI: oai:DiVA.org:kth-187221DiVA, id: diva2:929229
Funder
Swedish Research Council, 638-2013-9243
Note

QC 20160518

Available from: 2016-05-18 Created: 2016-05-18 Last updated: 2017-11-30Bibliographically approved

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Mancarella, Francesco

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