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Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene

Alejandro Jimeno-Pozo1,*, Héctor Sainz-Cruz1, Tommaso Cea1,2, Pierre A. Pantaleón1, and Francisco Guinea1,3,4

  • 1Imdea Nanoscience, Faraday 9, 28049 Madrid, Spain
  • 2Department of Physical and Chemical Sciences, University of L'Aquila, via Vetoio, Coppito, 67100 L'Aquila, Italy
  • 3Donostia International Physics Center, Paseo Manuel de Lardizabal 4, 20018 San Sebastian, Spain
  • 4Ikerbasque Foundation, Maria de Haro 3, 48013 Bilbao, Spain

  • *alejandro.jimeno@imdea.org

Phys. Rev. B 107, L161106 – Published 13 April, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L161106

Abstract

We discuss a Kohn-Luttinger-like mechanism for superconductivity in Bernal bilayer graphene and rhombohedral trilayer graphene. Working within the continuum model description without free parameters, we find that the screened long-range Coulomb interaction alone gives rise to superconductivity with critical temperatures that agree with experiments. We observe that the order parameter changes sign between valleys, which implies that both materials are valley-singlet, spin-triplet superconductors. Adding Ising spin-orbit coupling leads to a significant enhancement in the critical temperature, also in line with experiment, and the superconducting order parameter shows locking between the spin and valley degrees of freedom.

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