Stacking order, interaction and weak surface magnetism in layered graphene sheets

Abstract

Recent transport experiments have demonstrated that the rhombohedral stacking trilayer graphene is an insulator with an intrinsic gap of 6meV and the Bernal stacking trilayer one is a metal. We propose a Hubbard model with a moderate $U$ for layered graphene sheets, and show that the model well explains the experiments of the stacking dependent energy gap. The on-site Coulomb repulsion drives the metallic phase of the non-interacting system to a weak surface antiferromagnetic insulator for the rhombohedral stacking layers, but does not alter the metallic phase for the Bernal stacking layers.

5 pages, 4 figures

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Cited by in corpus (23)

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• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Correlated Insulator and Chern Insulators in Pentalayer Rhombohedral Stacked Graphene
• Flat Electronic Bands in Long Sequences of Rhombohedral-stacked Multilayer Graphene
• Gapped broken symmetry states in ABC trilayer graphene
• Ferromagnetism in ABC-trilayer graphene
• Observation of competing, correlated ground states in the flat band of rhombohedral graphite
• Surface ferromagnetism in rhombohedral heptalayer graphene moire superlattice
• Flat band electrons and interactions in rhombohedral trilayer graphene
• Tunable Infrared Phonon Anomalies in Trilayer Graphene
• Layer Antiferromagnetic State in Bilayer Graphene : A First-Principle Investigation
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Exchange interaction, disorder, and stacking faults in rhombohedral graphene multilayers
• Field-effect-driven half-metallic multilayer graphene
• Half Metallic Bilayer Graphene
• Gap generation in ABC-stacked multilayer graphene: screening vs band flattening
• Competing magnetic states on the surface of multilayer ABC-stacked graphene
• Gate-induced half-metals in Bernal stacked graphene multilayer
• Identification of graphite with perfect rhombohedral stacking by electronic Raman scattering
• Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study
• Stacking sequence dependence of electronic properties in double-layer graphene heterostructures
• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity