Topological Frustration in Graphene Nanoflakes: Magnetic Order and Spin Logic Devices
arXiv:0903.4402 · doi:10.1103/PhysRevLett.102.157201
Abstract
Magnetic order in graphene-related structures can arise from size effects or from topological frustration. We introduce a rigorous classification scheme for the types of finite graphene structures (nano-flakes) which lead to large net spin or to antiferromagnetic coupling between groups of electron spins. Based on this scheme, we propose specific examples of structures that can serve as the fundamental (NOR and NAND) logic gates for the design of high-density ultra-fast spintronic devices. We demonstrate, using ab initio electronic structure calculations, that these gates can in principle operate at room temperature with very low and correctable error rates.
Typo in title fixed
References in corpus (19)
- The SIESTA method for ab initio order-N materials simulation
- Efficient index handling of multidimensional periodic boundary conditions
- Half-Metallic Graphene Nanoribbons
- Electronic spin transport and spin precession in single graphene layers at room temperature
- Chaotic Dirac billiard in graphene quantum dots
- Magnetism in Graphene Induced by Single-Atom Defects
- Tailoring the atomic structure of graphene nanoribbons by STM lithography
- Induced Magnetic Ordering by Proton Irradiation in Graphite
- Magnetism in graphene nano-islands
- Magnetic Correlations at Graphene Edges
- Vacancy induced magnetism in graphene and graphene ribbons
- Magnetism in Disordered Graphene and Irradiated Graphite
- Metallic Graphene Nanodisks
- Spin currents in rough graphene nanoribbons: Universal fluctuations and spin injection
- -Electron Ferromagnetism in Metal Free Carbon Probed by Soft X-Ray Dichroism
- Diluted Graphene Antiferromagnet
- Anisotropic spin relaxation in graphene
- Edge State Magnetism of Single Layer Graphene Nanostructures
- Single spin universal Boolean logic
Cited by in corpus (77)
- Emergence of magnetism in graphene materials and nanostructures
- Clar's Theory, STM Images, and Geometry of Graphene Nanoribbons
- Giant magnetic exchange coupling in rhombus-shaped nanographenes with zigzag periphery
- Uncovering the Triplet Ground State of Triangular Graphene Nanoflakes Engineered with Atomic Precision on a Metal Surface
- Electronic properties of graphene antidot lattices
- Collective All-Carbon Magnetism in Triangulene Dimers
- Hydrogenated Graphene Nanoribbons for Spintronics
- Magnetoresistive junctions based on epitaxial graphene and hexagonal boron nitride
- Zero-energy states in triangular and trapezoidal graphene structures
- Electronic properties of gated triangular graphene quantum dots: Magnetism, correlations, and geometrical effects
- Destruction of graphene by metal adatoms
- Exchange rules for diradical π-conjugated hydrocarbons
- Spin-orbit coupling in a graphene bilayer and in graphite
- Topological frustration of artificial spin ice
- Vacancy in graphene: insight on magnetic properties from theoretical modeling
- Vacancy in graphene: insight on magnetic properties from theoretical modeling
- Recent progresses of quantum confinement in graphene quantum dots
- Designer spin order in diradical nanographenes
- Inducing and Optimizing Magnetism in Graphene Nanomesh
- Carbon clusters: From ring structures to nanographene
- Magnetic properties of graphene quantum dots
- Magnetic Interactions Between Radical Pairs in Chiral Graphene Nanoribbons
- Edge states in graphene-like systems
- Spin and electronic correlations in gated graphene quantum rings
- Graphene nanoflakes in external electric and magnetic in-plane fields
- Zero-energy states of graphene triangular quantum dots in a magnetic field
- Rashba-type Dzyaloshinskii-Moriya interaction, perpendicular magnetic anisotropy and skyrmion states at 2D materials/Co interfaces
- Few simple rules governing hydrogenation of graphene dots
- Building spin-1/2 antiferromagnetic Heisenberg chains with diaza-nanographenes
- On-Surface Synthesis and Characterization of a High-Spin Aza-[5]-Triangulene
- Addressing electron spins embedded in metallic graphene nanoribbons
- Renormalization of spin excitations and Kondo effect in open shell nanographenes
- Edge States in Silicene Nanodisks
- Antiferromagnetism in hexagonal graphene structures: Rings vs dots
- Theory of triangulene two-dimensional crystals
- Elastic properties of graphene flakes: boundary effects and lattice vibrations
- Hydrogen Atoms on Zigzag Graphene Nanoribbons: Chemistry and Magnetism Meet at the Edge
- Effective magnetic correlations in hole-doped graphene nanoflakes
- Probing local moments in nanographenes with electron tunneling spectroscopy
- Imprinting Tunable -Magnetism in Graphene Nanoribbons via Edge Extensions
- Ferrimagnetic and antiferromagnetic phase in bilayer graphene nanoflake controlled with external electric fields
- Quasi-Ferromagnet Spintronics in Graphene Nanodisk-Lead System
- Graphene with vacancies: supernumerary zero modes
- Metal-free Stoner and Mott-Hubbard magnetism in 2D polymers with honeycomb lattice
- Electric field control of spin-resolved edge states in graphene quantum nanorings
- Lattice density-functional theory on graphene
- PTCDA molecular monolayer on Pb thin films: An unusual π-electron Kondo system and its interplay with a quantum-confined superconductor
- Magnetic Phases of Graphene Nanoribbons under Potential Fluctuations
- Broken-symmetry magnetic phases in two-dimensional triangulene crystals
- Quasi-Phase Transition and Many-Spin Kondo Effects in Graphene Nanodisk
- Electrostatic quantum dots in silicene
- Disorder induced loss of magnetization in Lieb's graphene quantum dots
- Tuning of Zero Energy States in Quantum Dots of Silicene and Bilayer Graphene by Electric Field
- Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
- Ground-state magnetic phase diagram of bow-tie graphene nanoflakes in external magnetic field
- On-surface Synthesis of a Ferromagnetic Molecular Spin Trimer
- Husimi Maps in Lattices
- Spin Conductance of Diffusive Graphene Nanoribbons: a Probe of Zigzag Edge Magnetization
- Finite difference method for Dirac electrons in circular quantum dots
- Multiple Localized States and Magnetic Orderings in Partially Open Zigzag Carbon Nanotube Superlattices: An Ab Initio Study
- Nanoskyrmion engineering with -electron materials: Sn monolayer on SiC(0001) surface
- Effects of random atomic disorder on the magnetic stability of graphene nanoribbons with zigzag edges
- Triangle Counting Rule: An Approach to Forecast the Magnetic Properties of Benzenoid Polycyclic Hydrocarbons
- The electronic structure of a graphene quantum dot: Electric-field-induced evolution in two subspaces
- Effective low-energy Hamiltonians for interacting nanostructures
- Electrical control of a confined electron spin in a silicene quantum dot
- Entanglement and magnetism in high-spin graphene nanodisks
- Predicting magnetic edge behaviour in graphene using neural networks
- Lithium doped graphene as spintronic devices
- Designer polyradical nanographenes with strong spin entanglement and perturbation resilience via Clar's goblet extension
- Stoner ferromagnetism in low-angle twisted bilayer graphene at three-quarters filling
- Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet
- Synthesis and characterization of a -extended Clar's goblet
- Charging graphene nanoribbon quantum dots
- Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions
- Husimi Maps in Graphene
- A unified bonding entropy model to determine magnetic properties in graphene nanoflakes