Thermodynamic properties of the 2+1-dimensional Dirac fermions with broken time-reversal symmetry

Abstract

We study the thermodynamic properties of the two-component $2+1$-dimensional massive Dirac fermions in an external magnetic field. The broken time-reversal symmetry results in the presence of a linear in the magnetic field part of the thermodynamic potential, while in the famous problem of Landau diamagnetism the leading field dependent term is quadratic in the field. Accordingly, the leading term of the explicitly calculated magnetization is anomalous, viz. it is independent of the strength of the magnetic field. The Středa formula is employed to describe how the anomalous magnetization is related to the anomalous Hall effect.

12 pages; final version to be published in Journal of Physics A: Mathematical and Theoretical

References in corpus (9)

• Germanene: a novel two-dimensional Germanium allotrope akin to Graphene and Silicene
• Unconventional Integer Quantum Hall effect in graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Charge and spin Hall conductivity in metallic graphene
• Diamagnetism in disordered graphene
• Anomalous thermospin effect in the low-buckled Dirac materials
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Magnetization of the Metallic Surface States in Topological Insulators

Cited by in corpus (2)

• Entropy spikes as a signature of Lifshitz transitions in the Dirac materials
• Entropy Signatures of Topological Phase Transitions