Enhancement of non-local exchange near isolated band-crossings in graphene

Abstract

The physics of non-local exchange interactions in graphene sheets is studied within a $\pi$-orbital tight-binding model using a Hartree-Fock approximation and Coulomb interactions modified at short distances by lattice effects and at large distances by dielectric screening. We use this study to comment on the strong non-locality of exchange effects in systems with isolated band-crossings at energies close to the Fermi energy. We also discuss the role of lattice scale details of the effective Coulomb interaction in determining whether or not broken symmetry states appear at strong interaction strengths, and in determining the character of those states when they do appear.

10 pages, 7 figures, 1 table

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Cited by in corpus (22)

• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Optimal Hubbard models for materials with nonlocal Coulomb interactions: graphene, silicene and benzene
• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Current partition at topological zero-line intersections
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• Pressure Induced Compression of Flatbands in Twisted Bilayer Graphene
• Interaction driven metal-insulator transition in strained graphene
• Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene
• Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
• Gapped broken symmetry states in ABC trilayer graphene
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
• Electronic ground state properties of strained graphene
• Persistent Current States in Bilayer Graphene
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Effects of short-range electron-electron interactions in doped graphene
• Synergistic correlated states and nontrivial topology in coupled graphene-insulator heterostructures
• Anomalous Hall Coulomb drag of massive Dirac fermions
• Coulomb drag in topological materials
• Third harmonic generation of undoped graphene in Hartree-Fock approximation
• Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
• Ultra-Fast All-Electrical Universal Nano-Qubits