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Competing magnetic states on the surface of multilayer ABC-stacked graphene

Lauro B. Braz1,2, Tanay Nag2,3, and Annica M. Black-Schaffer2

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Phys. Rev. B 110, L241401 – Published 3 December, 2024

DOI: https://doi.org/10.1103/PhysRevB.110.L241401

Abstract

We study interaction-mediated magnetism on the surface of ABC-multilayer graphene driven by its zero-energy topological flat bands. Using the random-phase approximation, we treat onsite Hubbard repulsion and find multiple competing magnetic states, due to both intra- and intervalley scattering, with the latter causing an enlarged magnetic unit cell. At half-filling and when the Hubbard repulsion is weak, we observe two different ferromagnetic orders. Once the Hubbard repulsion becomes more realistic, new ferrimagnetic orders arise with distinct incommensurate intra- or intervalley scattering vectors depending on interaction strength and doping, leading to a multitude of competing magnetic states.

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Phys. Rev. B 110, L241401– Published 3 December, 2024
  • Received 16 February 2024
  • Accepted 30 October 2024
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