Spontaneous persistent currents in magnetically ordered graphene ribbons

Abstract

We present a new mechanism for dissipationless persistent charge current. Two dimensional topological insulators hold dissipationless spin currents in their edges so that, for a given spin orientation, a net charge current flows which is exactly compensated by the counter-flow of the opposite spin. Here we show that ferromagnetic order in the edge upgrades the spin currents into persistent charge currents, without applied fields. For that matter, we study an interacting graphene zigzag ribbon with spin-orbit coupling. We find three electronic phases with magnetic edges that carry currents reaching 0.4nA, comparable to persistent currents in metallic rings, for the small spin orbit coupling in graphene. One of the phases is a valley half-metal.

4 pages, 4 figures

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• Interacting topological insulators: a review
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• Giant magnetoresistance and perfect spin filter in silicene, germanene, and stanene
• Correlation effects in two-dimensional topological insulators
• Fractional topological liquids with time-reversal symmetry and their lattice realization
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Magnetic edge anisotropy in graphene-like honeycomb crystals
• Edge states in graphene-like systems
• The effects of interaction on quantum spin Hall insulators
• Interplay between sublattice and spin symmetry breaking in graphene
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Spin-valley half-metal as a prospective material for spin-valley-tronics
• Spin orbit in curved graphene ribbons
• Change of an insulator's topological properties by a Hubbard interaction
• Edge magnetism impact on electrical conductance and thermoelectric properties of graphenelike nanoribbons
• Colossal anisotropy in diluted magnetic topological insulators
• In-gap impurity states as the hallmark of the Quantum Spin Hall phase
• Orbital Magnetization of Quantum Spin Hall Insulator Nanoparticles
• Engineering Quantum Spin Hall Effect in Graphene Nanoribbons via Edge Functionalization
• Spin-valley half-metal in systems with Fermi surface nesting
• Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Spin-filtered edge states in graphene
• Selected graphenelike zigzag nanoribbons with chemically functionalized edges: Implications for electronic and magnetic properties
• Can bilayer graphene become a fractional metal?
• Magnetic frustration and fractionalization in oligo(indenoindenes)
• Quantum phase transitions of topological insulators without gap closing
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Hexagon Ising-Kondo lattice: An implication for intrinsic antiferromagnetic topological insulator
• Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
• Ising and XY paramagnons in two-dimensional 2H-NbSe${}_2$
• Zigzag graphene nanoribbons without inversion symmetry
• Tunable spin-charge conversion through topological phase transitions in zigzag nanoribbons
• Effects of the spin-orbital coupling on the vacancy-induced magnetism on the honeycomb lattice
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model
• The Effective field theory of 2+1 dimensional topological insulator in the presence of Rashba spin-orbit interaction
• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective
• Electronic and magnetic properties of honeycomb zigzag nanoribbons in the in-plane transverse electric field using Kane-Mele-Hubbard model