Theory of inter-edge superexchange in zigzag edge magnetism

Abstract

A graphene nanoribbon with zigzag edges has a gapped magnetic ground state with an antiferromagnetic inter-edge superexchange interaction. We present a theory based on asymptotic properties of the Dirac-model ribbon wavefunction which predicts $W^{-2}$ and $W^{-1}$ ribbon-width dependencies for the superexchange interaction strength and the charge gap respectively. We find that, unlike the case of conventional atomic scale superexchange, opposite spin-orientations on opposite edges of the ribbon are favored by both kinetic and interaction energies.

4 pages 8 figures

References in corpus (11)

• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Electronic States of Graphene Nanoribbons
• Magnetic Correlations at Graphene Edges
• Electronic structure and magnetic properties of graphitic ribbons
• Crystallographic Etching of Few-Layer Graphene
• $\pi$-Electron Ferromagnetism in Metal Free Carbon Probed by Soft X-Ray Dichroism
• Gauge field for edge state in graphene
• Hidden multiferroic order in graphene zigzag ribbons
• Magnetism as a mass term of the edge states in graphene

Cited by in corpus (65)

• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Emergence of magnetism in graphene materials and nanostructures
• Properties of Graphene: A Theoretical Perspective
• Stability of edge states and edge magnetism in graphene nanoribbons
• Thermoelectric properties of atomic-thin silicene and germanene nano-structures
• Carrier Density and Magnetism in Graphene Zigzag Nanoribbons
• Layer- and doping-tunable long range ferromagnetic order-ing in two-dimensional CrS2
• Long Range Intrinsic Ferromagnetism in Two Dimensional Materials and Dissipationless Future Technologies
• A family of high-temperature ferromagnetic monolayers with locked spin-dichroism-mobility anisotropy: MnNX and CrCX (X=Cl, Br, I; C=S, Se, Te)
• Theory of Magnetic Edge States in Chiral Graphene Nanoribbons
• Controlling Half-Metallicity of Graphene Nanoribbons by Using a Ferroelectric Polymer
• Transport Properties of Graphene Nanoroads in Boron-Nitride Sheets
• Spin Polarized and Valley Helical Edge Modes in Graphene Nanoribbons
• Edge states in graphene-like systems
• Magneto-electric coupling in zigzag graphene nanoribbons
• Quantum Monte Carlo studies of edge magnetism in chiral graphene nanoribbons
• Reversible, Opto-Mechanically Induced Spin-Switching in a Nanoribbon-Spiropyran Hybrid Material
• Manipulation of edge magnetism in hexagonal graphene nanoflake
• Dirac point resonances due to atoms and molecules adsorbed on graphene and transport gaps and conductance quantization in graphene nanoribbons with covalently bonded adsorbates
• Edge magnetization and local density of states in chiral nanoribbons
• Magnetic Correlations in Short and Narrow Graphene Armchair Nanoribbons
• Interplay between sublattice and spin symmetry breaking in graphene
• Theory of intermolecular exchange in coupled spin-1/2 nanographenes
• Gate-Tunable Exchange Coupling Between Cobalt Clusters on Graphene
• First principle investigation of Tunnel FET based on nanoribbons from topological two-dimensional material
• Spin orbit in curved graphene ribbons
• Entanglement, excitations and correlation effects in narrow zigzag graphene nanoribbons
• Towards a Rigorous Proof of Magnetism on the Edges of Graphene Nano-ribbons
• Enhancement of non-local exchange near isolated band-crossings in graphene
• Antiferromagnetic spin valve from heterostructure of two-dimensional hexagonal crystals
• Width-tuned magnetic order oscillation on zigzag edges of honeycomb nanoribbons
• Interedge magnetic coupling in transition-metal terminated graphene nanoribbons
• Engineering spin exchange in non-bipartite graphene zigzag edges
• Half-metallic Dirac cone in zigzag-graphene-nanoribbon/graphene
• Effective models for strong electronic correlations at graphene edges
• Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbons
• Probing local moments in nanographenes with electron tunneling spectroscopy
• Ferromagnetic nodal-line metal in monolayer {\em h}-InC
• Covalency a Pathway for Achieving High Magnetisation in $TMF{e}_2{O}_4$ Compounds
• Aharonov-Bohm effect and giant magnetoresistance in graphene nanoribbon rings
• Tunnel-Field-Effect Spin Filter from Two-Dimensional Antiferromagnetic Stanene
• Theoretical design of all-carbon networks with intrinsic magnetism
• Effect of long-range interaction on graphene edge magnetism
• Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
• Energy gap in graphene nanoribbons with structured external electric potentials
• Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator
• Robust Dirac Point in Honeycomb Structure Nanoribbons with Zigzag Edges
• Proximity induced spin-orbit splitting in graphene nanoribbons on transition metal dichalcogenides
• Electric field tuning of magnetic states in single magnetic molecules
• Charged Topological Solitons in Zigzag Graphene Nanoribbons
• Gate-controlled photo-oxidation of graphene for electronic structure modification
• Theoretical study of scattering in graphene ribbons in the presence of structural and atomistic edge roughness
• Inter-ribbon tunneling in graphene: an atomistic Bardeen approach
• Gapped Ferromagnetic Graphene Nanoribbons
• Massless Fermions on a half-space: The curious case of 2+1-dimensions
• Zigzag graphene nanoribbons without inversion symmetry
• Boundary Ferromagnetism in Zigzag Edged Graphene
• Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
• Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism
• Exotic spintronic properties of transition-metal monolayers on graphyne
• Electron beam splitting effect with crossed zigzag graphene nanoribbons in high-spin metallic states
• Multifold enhancement in magnetization of atomically thin Cobalt Telluride
• Manipulating the fully spin-polarized edge currents in graphene ribbon
• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective