Ferromagnetism in ABC-trilayer graphene

Abstract

In this article we study the ferromagnetic behavior of ABC-stacked trilayer graphene. This is done using a nearest-neighbor tight-binding model, in the presence of long-range Coulomb interactions. For a given electron-electron interaction g and doping level n, we determine whether the total energy is minimized for a paramagnetic or ferromagnetic configuration of our variational parameters. The g versus n phase diagram is first calculated for the unscreened case. We then include the effects of screening using a simplified expression for the fermion bubble diagram. We show that ferromagnetism in ABC-trilayer graphene is more robust than in monolayer, in bilayer, and in ABA-trilayer graphene. Although the screening reduces the ferromagnetic regime in ABC-trilayer graphene, the critical doping level remains one order of magnitude larger than in unscreened bilayer graphene.

10 pages, 6 figures

References in corpus (7)

• Electric Field Effect in Atomically Thin Carbon Films
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Quantum Hall effect and Landau level crossing of Dirac fermions in trilayer graphene
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Effect of electron-electron scattering on spin dephasing in a high-mobility low-density twodimensional electron gas
• Enhanced Optical Conductivity Induced by Surface States in ABC-stacked Few-Layer Graphene

Cited by in corpus (5)

• Stacking Order in Graphite Films Controlled by Van der Waals Technology
• Direct Probing Stacking Order and Electronic Spectrum of Rhombohedral Trilayer Graphene with Scanning Tunneling Microscopy
• Gate Tunable Magnetism and Giant Magnetoresistance in ABC-stacked Few-Layer Graphene
• Quasiparticle renormalization in ABC graphene trilayers
• Dynamical polarization in ABC-stacked multilayer graphene in a magnetic field