Magnetic Correlations at Graphene Edges

Abstract

Magnetic zigzag edges of graphene are considered as a basis for novel spintronics devices despite the fact that no true long-range magnetic order is possible in one dimension. We study the transverse and longitudinal fluctuations of magnetic moments at zigzag edges of graphene from first principles. We find a high value for the spin wave stiffness $D$ = 2100 meV Å${}^2$ and a spin-collinear domain wall creation energy $E_{d}w$ = 114 meV accompanied by low magnetic anisotropy. Above the crossover temperature $T_x\approx$10 K the spin correlation length $\xi \propto T^{-1}$ limits the long-range magnetic order to ~1 nm at 300 K while below $T_x$ it grows exponentially with decreasing temperature. We discuss possible ways of increasing the range of magnetic order and effects of edge roughness on it.

4 pages, 4 figures

References in corpus (17)

• The SIESTA method for ab initio order-N materials simulation
• Efficient index handling of multidimensional periodic boundary conditions
• The structure of suspended graphene sheets
• Half-Metallic Graphene Nanoribbons
• Electronic spin transport and spin precession in single graphene layers at room temperature
• Magnetism in Graphene Induced by Single-Atom Defects
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Strong suppression of weak (anti)localization in graphene
• Induced Magnetic Ordering by Proton Irradiation in Graphite
• Magnetism in graphene nano-islands
• $\pi$-Electron Ferromagnetism in Metal Free Carbon Probed by Soft X-Ray Dichroism
• Diluted Graphene Antiferromagnet
• High-temperature ferromagnetism of $sp$ electrons in narrow impurity bands: Application to CaB${}_6$
• Magnons in real materials from density-functional theory
• Experimental Evidence for Two-Dimensional Magnetic Order in Proton Bombarded Graphite
• Magnetic Structure of Nano-Graphite Moebius Ribbon

Cited by in corpus (201)

• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Emergence of magnetism in graphene materials and nanostructures
• Properties of Graphene: A Theoretical Perspective
• Topological Defects in Graphene: Dislocations and Grain Boundaries
• Chemical functionalization of graphene with defects
• Structure, Stability, Edge States and Aromaticity of Graphene Ribbons
• Room-temperature ferromagnetism in graphite driven by 2D networks of point defects
• The Zak phase and the existence of edge states in graphene
• Spin Polarization and Transport of Surface States in the Topological Insulators Bi2Se3 and Bi2Te3 from First Principles
• Magnetism in Disordered Graphene and Irradiated Graphite
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Graphene nanoribbons for quantum electronics
• Magnetic Boron Nitride Nanoribbons with Tunable Electronic Properties
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Understanding adsorption of hydrogen atoms on graphene
• Giant magnetoresistance in ultra-small Graphene based devices
• Topological Frustration in Graphene Nanoflakes: Magnetic Order and Spin Logic Devices
• First-Principles Study of Substitutional Metal Impurities in Graphene: Structural, Electronic and Magnetic Properties
• Ultraviolet Raman Spectroscopy of Single and Multi-layer Graphene
• A Guide to the Design of Electronic Properties of Graphene Nanoribbons
• Stability of edge states and edge magnetism in graphene nanoribbons
• Clar's Theory, STM Images, and Geometry of Graphene Nanoribbons
• DNA nucleotide-specific modulation of μA transverse edge currents through a metallic graphene nanoribbon with a nanopore
• RKKY coupling in graphene
• Efficient implementation of the nonequilibrium Green function method for electronic transport calculations
• Carrier Density and Magnetism in Graphene Zigzag Nanoribbons
• Experimentally Engineering the Edge Termination of Graphene Nanoribbons
• Robustness of edge states in graphene quantum dots
• Energy gaps, magnetism, and electric field effects in bilayer graphene nanoribbons
• Graphene-based spintronic components
• Theory of inter-edge superexchange in zigzag edge magnetism
• Silicene Structures on Silver Surfaces
• Dual Spin Filter Effect in a Zigzag Graphene Nanoribbon
• Theory of Magnetic Edge States in Chiral Graphene Nanoribbons
• Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
• Magnetism of Finite Graphene Samples: Mean-Field Theory compared with Exact Diagonalization and Quantum Monte Carlo Simulation
• Magnetoresistive junctions based on epitaxial graphene and hexagonal boron nitride
• Hidden multiferroic order in graphene zigzag ribbons
• Spin Channels in Functionalized Graphene Nanoribbons
• Universal Magnetic Properties of sp${}^3$-type Defects in Covalently Functionalized Graphene
• Edge State Magnetism of Single Layer Graphene Nanostructures
• Structure and stability of graphene nanoribbons in oxygen, carbon dioxide, water, and ammonia
• Edge currents and nanopore arrays in zigzag and chiral graphene nanoribbons as a route toward high-$ZT$ thermoelectrics
• On-surface synthesis of antiaromatic and open-shell indeno[2,1-b]fluorene polymers and their lateral fusion into porous ribbons
• Ferromagnetism in graphene nanoribbons: split versus oxidative unzipped ribbons
• Structure-dependent electrical properties of graphene nanoribbon devices with graphene electrodes
• Coherent, mechanical control of a single electronic spin
• Complex edge effects in zigzag graphene nanoribbons due to hydrogen loading
• Edge stability, reconstruction, zero-energy states and magnetism in triangular graphene quantum dots with zigzag edges
• Designer spin order in diradical nanographenes
• sp-Electron Magnetic Clusters with a Large Spin in Graphene
• Magnetic edge anisotropy in graphene-like honeycomb crystals
• Inducing and Optimizing Magnetism in Graphene Nanomesh
• Multiterminal single-molecule--graphene-nanoribbon thermoelectric devices with gate-voltage tunable figure of merit ZT
• Magnetism in Graphene Systems
• Role of Kekulé and Non-Kekulé Structures in the Radical Character of Alternant Polycyclic Aromatic Hydrocarbons: A TAO-DFT Study
• Dangling bonds and magnetism of grain boundaries in graphene
• Quantum-interference-controlled three-terminal molecular transistors based on a single ring-shaped-molecule connected to graphene nanoribbon electrodes
• Quantum Nature of Edge Magnetism in Graphene
• Magnetic Interactions Between Radical Pairs in Chiral Graphene Nanoribbons
• Spontaneous persistent currents in magnetically ordered graphene ribbons
• Ferromagnetism in nitrogen doped graphene
• First-principles quantum transport modeling of thermoelectricity in single-molecule nanojunctions with graphene nanoribbon electrodes
• Metal-terminated Graphene Nanoribbons
• Topology Classification from Chiral Symmetry: Chiral Phase Index and Spin Correlations in Graphene Nanoribbons
• Scattering theory of spin-orbit active adatoms on graphene
• Electron density and transport in top-gated graphene nanoribbon devices: First-principles Green function algorithms for systems containing large number of atoms
• Spin Valve Effect in ZigZag Graphene Nanoribbons by Defect Engineering
• Edge states in graphene-like systems
• Spin negative differential resistance in edge doped zigzag graphene nanoribbons
• Magnetic Structure of Hydrogen Induced Defects on Graphene
• The importance of electron-electron interactions in the RKKY coupling in graphene
• Detecting the spin-polarization of edge states in graphene nanoribbons
• Interactions and magnetism in graphene boundary states
• Magneto-electric coupling in zigzag graphene nanoribbons
• Ruderman-Kittel-Kasuya-Yosida interactions on a bipartite lattice
• Quantum Monte Carlo studies of edge magnetism in chiral graphene nanoribbons
• Strain induced edge magnetism at zigzag edge in graphene quantum dot
• Universal phase diagrams with superconducting domes for electronic flat bands
• Electronic Properties of Disordered Graphene Antidot Lattices
• Edge magnetization and local density of states in chiral nanoribbons
• Manipulation of edge magnetism in hexagonal graphene nanoflake
• Photonic realization of a generic type of graphene edge states exhibiting topological flat band
• Non-locally sensing the magnetic states of nanoscale antiferromagnets with an atomic spin sensor
• Covalent functionalization of strained graphene
• Rashba-type Dzyaloshinskii-Moriya interaction, perpendicular magnetic anisotropy and skyrmion states at 2D materials/Co interfaces
• Electron energy level statistics in graphene quantum dots
• Interplay between sublattice and spin symmetry breaking in graphene
• I-V curve signatures of nonequilibrium-driven band gap collapse in magnetically ordered zigzag graphene nanoribbon two-terminal devices
• Edge Disorder in Bottom-Up Zigzag Graphene Nanoribbons: Implications for Magnetism and Quantum Electronic Transport
• Disorder-based graphene spintronics
• Random matrices and quantum chaos in weakly-disordered graphene nanoflakes
• The RKKY Coupling between Impurity Spins in Graphene Nanoflakes
• Building spin-1/2 antiferromagnetic Heisenberg chains with diaza-nanographenes
• Spin waves in zigzag graphene nanoribbons and the stability of edge ferromagnetism
• Edge states interferometry and spin rotations in zigzag graphene nanoribbons
• Entanglement, excitations and correlation effects in narrow zigzag graphene nanoribbons
• Antiferromagnetism in hexagonal graphene structures: Rings vs dots
• Spin orbit in curved graphene ribbons
• Impact of edge shape on the functionalities of graphene-based single-molecule electronics devices
• Spin relaxation related to the edge scattering in graphene
• Fate of the open-shell singlet ground state in the experimentally accessible acenes: a quantum Monte Carlo study
• First-principles vs. semi-empirical modeling of global and local electronic transport properties of graphene nanopore-based sensors for DNA sequencing
• Magnetic and electronic phase crossovers in graphene nanoflakes
• Oxygen adsorption effect on magnetic properties of graphite
• Hydrogen Atoms on Zigzag Graphene Nanoribbons: Chemistry and Magnetism Meet at the Edge
• Tight-Binding Model for Adatoms on Graphene: Analytical Density of States, Spectral Function, and Induced Magnetic Moment
• Impurity-induced magnetic moments on the graphene-lattice Hubbard model: an inhomogeneous cluster DMFT study
• Strain-induced transitions to quantum chaos and effective time-reversal symmetry breaking in triangular graphene nanoflakes
• 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
• Competing magnetism in $\pi$ electrons in graphene with a single carbon vacancy
• Contrasting interedge superexchange interactions of graphene nanoribbons embedded in h-BN and graphane
• Imprinting Tunable $\pi$-Magnetism in Graphene Nanoribbons via Edge Extensions
• Impurity band induced by point defects in graphene
• Atomic structure and electronic properties of folded graphene nanoribbons: a first-principles study
• Theoretical design of all-carbon networks with intrinsic magnetism
• Magnetic Dirac Fermions and Chern Insulator Supported on Pristine Silicon Surface
• PTCDA molecular monolayer on Pb thin films: An unusual π-electron Kondo system and its interplay with a quantum-confined superconductor
• Implementation of Generalized Bloch Theorem Using Linear Combination of Pseudo-Atomic Orbitals
• Green${}^{\prime }$s function approach to edge states in transition metal dichalcogenides
• Magnetic Phases of Graphene Nanoribbons under Potential Fluctuations
• Quasi-Phase Transition and Many-Spin Kondo Effects in Graphene Nanodisk
• Optical signatures of electric field driven magnetic phase transitions in graphene quantum dots
• Carbon sp chains in graphene nanoholes
• Improving the applicability of the Pauli kinetic energy density based semilocal functional for solids
• Broken-symmetry magnetic phases in two-dimensional triangulene crystals
• Exchange interactions from a nonorthogonal basis set: from bulk ferromagnets to the magnetism in low-dimensional graphene systems
• First-principles modeling of the interactions of iron impurities with graphene and graphite
• Quantum phase transitions in effective spin-ladder models for graphene zigzag nanoribbons
• Effect of long-range interaction on graphene edge magnetism
• Interaction effects in a chaotic graphene quantum billiard
• One-dimensional magnetic conduction channels across zigzag graphene nanoribbon/hexagonal boron nitride heterojunctions
• 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
• Voltage-dependent spin flip in magnetically-substituted graphene nanoribbons: Toward the realization of graphene-based spintronic devices
• Generation of fully spin-polarized currents in three-terminal graphene-based transistors
• Controlled engineering of spin polarized transport properties in a zigzag graphene nanojunction
• Electronic, Magnetic and Transport Properties of Graphene Ribbons Terminated by Nanotubes
• Quantum coherence and its dephasing in the giant spin Hall effect and nonlocal voltage generated by magnetotransport through multiterminal graphene bars
• Suppression of decoherence in a graphene monolayer ring
• Dirac half-semimetallicity and antiferromagnetism in graphene nanoribbon/hexagonal boron nitride heterojunctions
• Applied electric field on zigzag graphene nanoribbons: reduction of spin stiffness and appearance of spiral spin density waves
• Spin-spin correlations of magnetic impurities in graphene
• Interface sensitivity on spin transport through a three-terminal graphene nanoribbon
• Aspects of electron transport in zigzag graphene nanoribbons
• Electronic and Optical Properties of the Narrowest Armchair Graphene Nanoribbons Studied by Density Functional Methods
• Shot Noise Probing of Magnetic Ordering in Zigzag Graphene Nanoribbons
• Effective spin theories for edge magnetism in graphene zigzag ribbons
• Spin signatures in the electrical response of graphene nanogaps
• Tunable Half-Metallicity and Edge Magnetism of H-saturated InSe Nanoribbons
• Transition between 1D and 0D spin transport studied by Hanle precession
• Zigzag edge ferromagnetism of triangular-graphene-quantum-dot-like system
• Weak ferromagnetism of antiferromagnetic domains in graphene with defects
• Repair of magnetism in oxidized graphene nanoribbons
• Charged Topological Solitons in Zigzag Graphene Nanoribbons
• Unconventional charge and spin dependent transport properties of a graphene nanoribbon with line-disorder
• On Using Non-Kekule' Triangular Graphene Quantum Dots for Scavenging Hazardous Sulfur Hexafluoride Components
• Effects of random atomic disorder on the magnetic stability of graphene nanoribbons with zigzag edges
• Impossibility of Increasing N$\acute{\text{e}}$el Temperature in Zigzag Graphene Nanoribbon by Electric Field and Carrier Doping
• Carrier-induced Antisymmetric-symmetric Tendencies of Spin Stiffness in Zigzag Graphene Nanoribbons
• Diffusion on edges of insulating graphene with intravalley and intervalley scattering
• Trigonal warping induced terraced spin texture and nearly perfect spin polarization in graphene with Rashba effect
• Kondo effect due to a hydrogen impurity in graphene: a multichannel Kondo problem with diverging hybridization
• Boundary-induced violation of the Dirac fermion parity and its signatures in local and global tunneling spectra of graphene
• Spin-orbit coupling, edge states and quantum spin Hall criticality due to Dirac fermion confinement: The case study of graphene
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Stability of edge magnetism against disorder in zigzag MoS${}_2$ nanoribbons
• Spontaneous ferromagnetism and finite surface energy gap in the topological insulator Bi${}_2$Se${}_3$ from surface Bi$_\rm{Se}$ antisite defects
• Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
• Topological Domain Walls in Graphene Nanoribbons with Carrier Doping
• Spatial dependence of the superexchange interactions for transition-metal trimers in graphene
• Magnetic Multilayer Edges in Bernal-Stacked Hexagonal Boron Nitride
• Many-body correlations brought to light in absorption spectra of diluted magnetic semiconductors
• An Origin of Dzyaloshinskii-Moriya Interaction at Graphene-Ferromagnet Interfaces Due to the Intralayer RKKY/BR Interaction
• Tetragonal Mexican-Hat Dispersion and Switchable Half-Metal State with Multiple Anisotropic Weyl Fermions in Penta-Graphene
• Possible excited spin density wave states in zigzag graphene nanoribbons
• Spin susceptibilities in zigzag graphene nanoribbons
• Large magnetoresistance from long-range interface coupling in armchair graphene nanoribbon junctions
• Critical temperature of two-dimensional hydrogenated multilayer graphene-based diluted ferromagnet
• Anisotropic resistivity of the monolayer graphene in the trigonal warping and connected Fermi curve regimes
• Nature of magnetism and transport in BxCyNz thin films: The intriguing role of nitrogen defects in the electronic structure
• Edge-Insensitive Magnetism and Half Metallicity in Graphene Nanoribbons
• Wigner crystallization at graphene edges
• Emergent quantum matter in graphene nanoribbons
• Giant Magnetoresistance in Bilayer Graphene Nanoflakes
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Emergent Anti-ferromagnetism in a Y -Shaped Kekulé Graphene
• Magnetic and electronic properties of 1D hybrid nanoobjects composed of alternating polycyclic hydrocarbon regions and double carbon chains
• Intrinsic superstructure near atomically clean armchair-type step edge of graphite
• Electric-field-induced spin spiral state in bilayer zigzag graphene nanoribbons
• Exotic spintronic properties of transition-metal monolayers on graphyne
• Effect of edge vacancies on localized states in semi-infinite zigzag graphene sheet
• Twin lead ballistic conductor based on nanoribbon edge transport
• Strain-enhanced edge ferromagnetism and bipolar magnetic semiconducting behavior in Janus graphene nanoribbons
• Atomic imaging of 2D transition metal dihalides
• Surface magnetism of gallium arsenide nanofilms
• Structure and magnetism of disordered carbon
• Variable range of the RKKY interaction in edged graphene
• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective