Gapped broken symmetry states in ABC trilayer graphene

Abstract

We use a self-consistent Hartree-Fock approximation with realistic Coulomb interactions for $\pi$-band electrons to explore the possibility of broken symmetry states in weakly disordered ABC stacked trilayer graphene. The competition between gapped and gapless broken symmetry states, and normal states is studied by comparing total energies. We find that gapped states are favored and that, unlike the bilayer case, gapless nematic broken symmetry states are not metastable. Among the gapped states the layer antiferromagnetic state is favored over anomalous and spin Hall states.

6 pages, 3 figures

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Cited by in corpus (31)

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• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Magnetic gap opening in rhombohedral-stacked multilayer graphene from first principles
• Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
• Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
• Observation of competing, correlated ground states in the flat band of rhombohedral graphite
• Ferroelectric and anomalous quantum Hall states in bare rhombohedral trilayer graphene
• Strong correlations in ABC-stacked trilayer graphene: Moiré is important
• Self-consistent theory for the fractional quantum anomalous Hall effect in rhombohedral pentalayer graphene
• Spontaneous Chiral Symmetry Breaking in Bilayer Graphene
• Exchange interaction, disorder, and stacking faults in rhombohedral graphene multilayers
• Gate Tunable Magnetism and Giant Magnetoresistance in ABC-stacked Few-Layer Graphene
• Gap generation in ABC-stacked multilayer graphene: screening vs band flattening
• Nearly flat bands in twisted triple bilayer graphene
• Fractional quantum anomalous Hall effect in rhombohedral multilayer graphene with a strong displacement field
• Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene
• Spontaneous vortex-antivortex lattice and Majorana fermions in rhombohedral graphene
• Tunable Excitons in Rhombohedral Trilayer Graphene
• Chirality and correlations in the spontaneous spin-valley polarization of rhombohedral multilayer graphene
• Competing magnetic states on the surface of multilayer ABC-stacked graphene
• Broken sublattice symmetry states in Bernal stacked multilayer graphene
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Superpolarized Electron-Hole Liquid and Multiferroicity in Multilayer Graphene
• Giant Interaction-Induced Gap and Electronic Phases in Rhombohedral Trilayer Graphene
• Large tunable intrinsic gap in rhombohedral-stacked tetralayer graphene
• Sliding-dependent electronic structures of alternating-twist tetralayer graphene
• Surface acoustic wave-driven valley current generation in intervalley coherent states
• Correlated interlayer quantum Hall state in large-angle twisted trilayer graphene
• Superconducting Berry Curvature Dipole