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Josephson coupling between superconducting islands on single- and bi-layer graphene
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). KTH Royal Institute of Technology, Sweden.
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Institute for Materials Science, Los Alamos, USA.
Number of Authors: 3
2016 (English)In: Superconductors Science and Technology, ISSN 0953-2048, E-ISSN 1361-6668, Vol. 29, no 5, 054004Article in journal (Refereed) Published
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
2016. Vol. 29, no 5, 054004
Keyword [en]
graphene, bilayer graphene, Josephson coupling, supercurrent, long-junction regime
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-131220DOI: 10.1088/0953-2048/29/5/054004ISI: 000375572100007OAI: diva2:936716
Available from: 2016-06-14 Created: 2016-06-14 Last updated: 2016-06-14Bibliographically approved

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Mancarella, FrancescoBalatsky, Alexander
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Nordic Institute for Theoretical Physics (Nordita)
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