Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
arXiv:2008.05144 · doi:10.1103/PhysRevB.102.075421
Abstract
The topological phases of graphene with spin-orbit coupling, an exchange field, and a staggered-sublattice potential determine the properties of the edge states of the zigzag nanoribbon. In the presence of the Hubbard interaction, the spontaneous magnetization at the zigzag terminations induces sizable magnetic moments at the lattice sites in the bulk region. Thus, the exchange field and staggered-sublattice potential in the bulk region are effectively changed, which in turn change the topological phase. Within a certain parameter regime, quasi-stable excited states of the zigzag nanoribbon exist, which have a different magnetism configuration at the zigzag terminations from the ground state. The quasi-stable excited states could effectively suppress the finite size effect of the topological edge states. The investigation of the topological edge states in the presence of interaction helps the engineering of spintronic nanodevices based on realistic materials.
arXiv comment8 figures
References in corpus (52)
- Spintronics: Fundamentals and applications
- Quantum Spin Hall Effect in Graphene
- Energy Gaps in Graphene Nanoribbons
- Half-Metallic Graphene Nanoribbons
- Quantum Spin Hall Effect in Silicene
- Graphene Spintronics
- Emergence of magnetism in graphene materials and nanostructures
- Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
- Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
- Electronic structure and magnetic properties of graphitic ribbons
- Topological Phases in Two-Dimensional Materials: A Brief Review
- Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
- Graphene on transition-metal dichalcogenides: a platform for proximity spin-orbit physics and optospintronics
- Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
- Trivial and inverted Dirac bands, and emergence of quantum spin Hall states in graphene on transition-metal dichalcogenides
- Optimal Hubbard models for materials with nonlocal Coulomb interactions: graphene, silicene and benzene
- Quantum Anomalous Hall Effect in Single-layer and Bilayer Graphene
- Giant Spin Lifetime Anisotropy in Graphene Induced by Proximity Effects
- Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
- Carrier Density and Magnetism in Graphene Zigzag Nanoribbons
- Theory of inter-edge superexchange in zigzag edge magnetism
- Competition between spin and charge polarized states in nanographene ribbons with zigzag edges
- Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling
- Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
- Hidden multiferroic order in graphene zigzag ribbons
- Theory of proximity-induced exchange coupling in graphene on hBN/(Co, Ni)
- Ground-state properties of nanographite systems with zigzag-shaped edges
- Protected pseudohelical edge states in proximity graphene ribbons and flakes
- Magnetic edge anisotropy in graphene-like honeycomb crystals
- Quantum Nature of Edge Magnetism in Graphene
- Spin Valve Effect in ZigZag Graphene Nanoribbons by Defect Engineering
- Magneto-electric coupling in zigzag graphene nanoribbons
- Interactions and magnetism in graphene boundary states
- Quantum Monte Carlo studies of edge magnetism in chiral graphene nanoribbons
- Edge magnetization and local density of states in chiral nanoribbons
- Interplay between sublattice and spin symmetry breaking in graphene
- Spin waves in zigzag graphene nanoribbons and the stability of edge ferromagnetism
- Tunable edge magnetism at graphene/graphane interfaces
- Entanglement, excitations and correlation effects in narrow zigzag graphene nanoribbons
- Towards a Rigorous Proof of Magnetism on the Edges of Graphene Nano-ribbons
- Topological and magnetic phase transition in silicene-like zigzag nanoribbons
- Correlated Electronic Properties of Some Graphene Nanoribbons: A DMRG Study
- Antiferromagnetic spin valve from heterostructure of two-dimensional hexagonal crystals
- Engineering spin exchange in non-bipartite graphene zigzag edges
- Effective models for strong electronic correlations at graphene edges
- Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbons
- Exact diagonalization study of the tunable edge magnetism in graphene
- Sensory organ like response determines the magnetism of zigzag-edged honeycomb nanoribbons
- Magnetic Phases of Graphene Nanoribbons under Potential Fluctuations
- Effect of long-range interaction on graphene edge magnetism
- Bosonic field theory of tunable edge magnetism in graphene
- Valley selecting current partition at zero-line mode of quantum anomalous Hall topologies
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