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  • Letter
  • Open Access

Spin and charge fluctuation induced pairing in ABCB tetralayer graphene

Ammon Fischer1,*, Lennart Klebl2,*, Jonas B. Profe1, Alexander Rothstein3,4, Lutz Waldecker3, Bernd Beschoten3, Tim O. Wehling2,5, and Dante M. Kennes1,6,†

  • 1Institute for Theory of Statistical Physics, RWTH Aachen University, and JARA Fundamentals of Future Information Technology, 52062 Aachen, Germany
  • 2I. Institute for Theoretical Physics, Universität Hamburg, Notkestraße 9-11, 22607 Hamburg, Germany
  • 32nd Institute of Physics and JARA-FIT, RWTH Aachen University, 52074 Aachen, Germany
  • 4Peter Grünberg Institute (PGI-9), Forschungszentrum Jülich, 52425 Jülich, Germany
  • 5The Hamburg Centre for Ultrafast Imaging, 22761 Hamburg, Germany
  • 6Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, 22761 Hamburg, Germany

  • *These authors contributed equally to this work.
  • †dante.kennes@mpsd.mpg.de
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Phys. Rev. Research 6, L012003 – Published 8 January, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012003

Abstract

Motivated by the recent experimental realization of ABCB stacked tetralayer graphene [Wirth et al., ACS Nano 16, 16617 (2022)], we study correlated phenomena in moiré-less graphene tetralayers for realistic interaction profiles using an orbital resolved random phase approximation approach. We demonstrate that magnetic fluctuations originating from local interactions are crucial close to the van Hove singularities on the electron- and hole-doped side promoting layer selective ferrimagnetic states. Spin fluctuations around these magnetic states enhance unconventional spin-triplet, valley-singlet superconductivity with f-wave symmetry due to intervalley scattering. Charge fluctuations arising from long range Coulomb interactions promote doubly degenerate p-wave superconductivity close to the van Hove singularities. At the conduction band edge of ABCB graphene, we find that both spin and charge fluctuations drive f-wave superconductivity. Our analysis suggests a strong competition between superconducting states emerging from long- and short-ranged Coulomb interactions and thus stresses the importance of microscopically derived interaction profiles to make reliable predictions for the origin of superconductivity in graphene-based heterostructures.

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Phys. Rev. Research 6, L012003– Published 8 January, 2024
  • Received 6 June 2023
  • Revised 18 August 2023
  • Accepted 25 October 2023
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