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

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 inter-valley 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 inter-valley scattering vectors depending on interaction strength and doping, leading to a multitude of competing magnetic states.

Main text: 7 pages and 4 figures, Supplementary Material: 12 pages and 9 figures

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Cited by in corpus (6)

• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• Correlated phases in rhombohedral multilayer graphene
• Doping-dependent orbital magnetism in Chromium pnictides
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$
• Quantum theory for edge current and noise in two-dimensional topological superconductors