Flat band electrons and interactions in rhombohedral trilayer graphene

Abstract

Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic dispersion near the fermi level leaves the interaction as a dominate mechanism to govern the low energy physics of a low density electron system. We build up an effective lattice model in two interacting low-energy bands, where the full terms of the Coulomb interaction, including those long-range and off-diagonal parts, have been considered. The interaction matrix coefficients in the many-body Hamiltonian model are directly calculated for a trilayer system using orthonormal Wannier basis. We then present a flat-band projection to yield an interaction-only lattice model for flat band electrons. We find that this limited model might energetically favor a ferromagnetic quantum crystal under certain conditions.

8 pages, 3 figures, 3 tables. add journal reference and some discussions in the context. arXiv admin note: text overlap with arXiv:1108.0088

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Cited by in corpus (11)

• Classification of flat bands according to the band-crossing singularity of Bloch wave functions
• Direct Probing Stacking Order and Electronic Spectrum of Rhombohedral Trilayer Graphene with Scanning Tunneling Microscopy
• Layer-dependent evolution of electronic structures and correlations in rhombohedral multilayer graphene
• Engineering slow light and mode crossover in a fractal-kagome waveguide network
• Layer Antiferromagnetic State in Bilayer Graphene : A First-Principle Investigation
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Quick Identification of ABC Trilayer Graphene at Nanoscale Resolution via a Near-field Optical Route
• Gate-induced half-metals in Bernal stacked graphene multilayer
• Optical Properties of Graphene in Magnetic and Electric fields
• Magnetic quantization in multilayer graphenes