Orbital Magnetism and Transport Phenomena in Two Dimensional Dirac Fermions in Weak Magnetic Field

Abstract

We discuss the orbital magnetism and the Hall effect in the weak magnetic field in two dimensional Dirac fermion systems with energy gap. This model is related to the graphene sheet, organic conductors, and $d$-density wave superconductors. We found the strong diamagnetism and finite Hall conductivity even in gapped systems. We also discuss the relation between the weak-magnetic field formalism and the Landau quantization with the Euler-Maclaurin expansion.

arXiv comment4pages,3figures

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• Topological Phase Transition and Electrically Tunable Diamagnetism in Silicene
• Orbital magnetism of graphene flakes
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
• Inter-Band Effects of Magnetic Field on Hall Conductivity in Multi Layered Massless Dirac Fermion System $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Chiral orbital current and anomalous magnetic moment in gapped graphene
• Nonlinear magnetization of graphene
• Orbital magnetic susceptibility of finite-sized graphene
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Nuclear Spin Relaxation Time due to the Orbital Currents in Dirac Electron Systems
• On the zero-field orbital magnetic susceptibility of Bloch electrons in graphene-like solids: Some rigorous results
• Orbital Magnetism of Graphene Nanostructures: Bulk and Confinement Effects
• Magnetizations and de Haas-van Alphen oscillations in massive Dirac fermions
• Observations of $\nu =1$ Quantum Hall Effect and Inter-Band Effects of Magnetic fields on Hall Conductivity in Organic Massless Dirac Fermion System $\alpha$-(BETS)${}_2$I${}_3$ under Pressure
• Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure
• Nodal-line semimetal HMTSF-TCNQ: Anomalous orbital diamagnetism and charge density wave