2013/02/28 by W. A. Muñoz, W. A. Munoz, Lucian Covaci +2 · 55 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Doping #Geometry #Graphene #Graphene research and applications #Homogeneous #Materials science #Mathematics #Nanotechnology #Nuclear magnetic resonance #Order (exchange) #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Stacking #Statistical physics #Superconductivity #Surface (topology) #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.87.134509
published in Physical Review B 87(13) (American Physical Society) · 7 pages
arxiv created 2013/03/29 · openalex publication_date 2013/04/10 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using highly efficient GPU-based simulations of the tight-binding Bogoliubov--de Gennes equations we solve self-consistently for the pair correlation in rhombohedral (ABC) and Bernal (ABA) multilayer graphene by considering a finite intrinsic s-wave pairing potential. We find that the two different stacking configurations have opposite bulk/surface behavior for the order parameter. Surface superconductivity is robust for ABC stacked multilayer graphene even at very low pairing potentials for which the bulk order parameter vanishes, in agreement with a recent analytical approach. In contrast, for Bernal stacked multilayer graphene, we find that the order parameter is always suppressed at the surface and that there exists a critical value for the pairing potential below which no superconducting order is achieved. We considered different doping scenarios and find that homogeneous doping strongly suppresses surface superconductivity while nonhomogeneous field-induced doping has a much weaker effect on the superconducting order parameter. For multilayer structures with hybrid stacking (ABC and ABA) we find that when the thickness of each region is small (few layers), high-temperature surface superconductivity survives throughout the bulk due to the proximity effect between ABC/ABA interfaces where the order parameter is enhanced.