Effective spin theories for edge magnetism in graphene zigzag ribbons

Abstract

We report a thorough study of the reducibility of edge correlation effects in graphene to much-simplified effective models for the edge states. The latter have been used before in specially tailored geometries. By a systematic investigation of corrections due to the bulk states in second order perturbation theory, we show that the reduction to pure edge state models is well-justified in general geometries. The framework of reduced models discussed here enables the study of non-mean-field correlation physics for system sizes far beyond the reach of conventional methods, such as, e.g., quantum Monte-Carlo.

References in corpus (9)

• The electronic properties of graphene
• Energy Gaps in Graphene Nanoribbons
• Magnetic Correlations at Graphene Edges
• Diluted Graphene Antiferromagnet
• Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
• Quantum Nature of Edge Magnetism in Graphene
• Quantum Monte Carlo studies of edge magnetism in chiral graphene nanoribbons
• Effective models for strong electronic correlations at graphene edges
• Exact diagonalization study of the tunable edge magnetism in graphene

Cited by in corpus (4)

• Entanglement, excitations and correlation effects in narrow zigzag graphene nanoribbons
• Quantum phase transitions in effective spin-ladder models for graphene zigzag nanoribbons
• Effect of long-range interaction on graphene edge magnetism
• Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study