First-order effect of electron-electron interactions on the anomalous Hall conductivity of massive Dirac fermions

Abstract

We investigate the first-order correction to the anomalous Hall conductivity of 2D massive Dirac fermions arising from electron-electron interactions. In a fully gapped system in the limit of zero temperature, we find that this correction vanishes, confirming the absence of perturbative corrections to the topological Hall conductivity. At finite temperature or chemical potential, we find that the total Hall response decays faster than in the non-interacting case, depending on the strength of electron-electron interactions. These features, which could potentially be observed experimentally, show the importance of two-body interactions for anomalous Hall transport.

References in corpus (23)

• Quantum Spin Hall Effect in Graphene
• Berry Phase Effects on Electronic Properties
• Electronic transport in two dimensional graphene
• MoS_2 as an ideal material for valleytronics: valley-selective circular dichroism and valley Hall effect
• Substrate-induced band gap opening in epitaxial graphene
• Light-induced anomalous Hall effect in graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Proximity-induced ferromagnetism in graphene revealed by anomalous Hall effect
• Observation of the orbital Hall effect in a light metal Ti
• Charge and spin Hall conductivity in metallic graphene
• Orbital Hall effect as an alternative to valley Hall effect in gapped graphene
• Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling
• Theory of proximity-induced exchange coupling in graphene on hBN/(Co, Ni)
• Cavity Quantum-Electrodynamical Chern Insulator: Route Towards Light-Induced Quantized Anomalous Hall Effect in Graphene
• Anomalous Hall effect with massive Dirac fermions
• Polarization Charge Distribution in Gapped Graphene
• The effects of interaction on quantum spin Hall insulators
• Coulomb corrections to the extrinsic spin-Hall effect of a two-dimensional electron gas
• Anomalous Hall effect in 2$H$-phase transition-metal dichalcogenide monolayers on ferromagnetic substrates
• Sensitivity of anomalous Hall effect to disorder correlations
• Influence of interactions on the anomalous quantum Hall effect
• Haldane Model at finite temperature
• Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry

Cited by in corpus (1)

• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals