Electronic Instabilities of the AA-Honeycomb Bilayer

Abstract

We use a functional renormalization group approach to study the instabilities due to electron-electron interactions in a bilayer honeycomb lattice model with AA stacking, as it might be relevant for layered graphene with this structure. Starting with a tight- binding description for the four $\pi$-bands, we integrate out the modes of the dispersion by successively lowering an infrared cutoff and determine the leading tendencies in the effective interactions. The antiferromagnetic spin-density wave is an expected instability for dominant local repulsion among the electrons, but for nonlocal interaction terms also other instabilities occur. We discuss the phase diagrams depending on the model parameters. We compare our results to single-layer graphene and the more common AB-stacked bilayer, both qualitatively and quantitatively.

9 pages, 3 figures, Annalen der Physik, online available (2014)

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Cited by in corpus (16)

• Electronic properties of graphene-based bilayer systems
• High-performance functional renormalization group calculations for interacting fermions
• Correlated spinless fermions on the honeycomb lattice revisited
• Externally controlled band gap in twisted bilayer graphene
• Many-body effects in twisted bilayer graphene at low twist angles
• Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional Renormalization Group calculation with high wavevector resolution
• Reference results for the momentum space functional renormalization group
• Functional renormalization group for a large moiré unit cell
• Truncated unity functional renormalization group for multiband systems with spin-orbit coupling
• Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
• Effect of exchange interaction on electronic instabilities in the honeycomb lattice: A functional renormalization group study
• Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction
• Ordering in SU(4)-symmetric model of AA bilayer graphene
• Spin-density wave state in simple hexagonal graphite
• Collective magnetic excitations in AA- and AB-stacked graphene bilayers
• Superconductivity and spin density wave in AA stacked bilayer graphene