Noncollinear magnetic phases and edge states in graphene quantum Hall bars

Abstract

Application of a perpendicular magnetic field to charge neutral graphene is expected to result in a variety of broken symmetry phases, including antiferromagnetic, canted and ferromagnetic. All these phases open a gap in bulk but have very different edge states and non-collinear spin order, recently confirmed experimentally. Here we provide an integrated description of both edge and bulk for the various magnetic phases of graphene Hall bars making use of a non-collinear mean field Hubbard model. Our calculations show that, at the edges, the three types of magnetic order are either enhanced (zigzag) or suppressed (armchair). Interestingly, we find that preformed local moments in zigzag edges interact with the quantum Spin Hall like edge states of the ferromagnetic phase and can induce back-scattering.

5 pages, 4 figures

References in corpus (13)

• Unconventional Integer Quantum Hall effect in graphene
• Quantum Hall Ferromagnetism in Graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Edge States and the Quantized Hall Effect in Graphene
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Electron interactions in graphene in a strong magnetic field
• Excitonic gap, phase transition, and quantum Hall effect in graphene
• Hidden multiferroic order in graphene zigzag ribbons
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Helical edge states coupled to a spin bath: Current-induced magnetization

Cited by in corpus (6)

• Collective Edge Modes near the onset of a graphene quantum spin Hall state
• Majorana bound states in encapsulated bilayer graphene
• A Hartree-Fock study of the $\nu =0$ quantum Hall state of monolayer graphene with short range interactions
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Integer Quantum Hall Effect of Interacting Electrons in Graphene
• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective