Optical Hall conductivity of systems with gapped spectral nodes

2010/05/31 by A. Hill, Antonio Hill, Andreas Sinner +2
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mtrl-sci

paper · pdf · doi:10.1140/epjb/e2012-30887-1

published as Eur. Phys. J. B 86, 53 (2013)

arxiv created 2012/12/19 · openalex publication_date 2013/02/01 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the optical Hall conductivity within the Kubo formalism for systems with gapped spectral nodes, where the latter have a power-law dispersion with exponent n. The optical conductivity is proportional to n and there is a characteristic logarithmic singularity as the frequency approaches the gap energy. The optical Hall conductivity is almost unaffected by thermal fluctuations and disorder for n=1, whereas disorder has a stronger effect on transport properties if n=2.

Citations

• Minimal conductivity of graphene: Nonuniversal values from the Kubo formula
• Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene
• Chiral decomposition in the electronic structure of graphene multilayers
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Properties of Graphene: A Theoretical Perspective
• Fine Structure Constant Defines Visual Transparency of Graphene