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.

arXiv comment5 pages, 4 figures

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Cited by in corpus (22)

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• Edge states in graphene-like systems
• Engineering spin exchange in non-bipartite graphene zigzag edges
• Edge structure of graphene monolayers in the ν = 0 quantum Hall state
• Correlations in the elastic Landau level of spontaneously buckled graphene
• Collective Edge Modes near the onset of a graphene quantum spin Hall state
• Quantum Spin Hall Effect in Twisted Bilayer Graphene
• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
• Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu =0$
• Majorana bound states in encapsulated bilayer graphene
• Emergence of helical edge conduction in graphene at the ν=0 quantum Hall state
• Transport through graphene-like flakes with intrinsic spin orbit interactions
• Effective model for Majorana modes in graphene
• A Hartree-Fock study of the $\nu =0$ quantum Hall state of monolayer graphene with short range interactions
• Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Absence of Perfect Conductance Quantization of Helical-edge Transport in Graphene under a Strong, Tilted Magnetic Field
• Integer Quantum Hall Effect of Interacting Electrons in Graphene
• Emergent quantum matter in graphene nanoribbons
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• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective