Dynamical scaling analysis of the optical Hall conductivity in the quantum Hall regime

Abstract

Dynamical scaling analysis is theoretically performed for the ac (optical) Hall conductivity ${\sigma }_{xy}({\epsilon }_F,\omega )$ as a function of Fermi energy ${\epsilon }_F$ and frequency $\omega$ for the two-dimensional electron gas and for graphene. In both systems, results based on exact diagonalization show that ${\sigma }_{xy}({\epsilon }_F,\omega )$ displays a well-defined dynamical scaling, for which the dynamical critical exponent as well as the localization exponent are fitted and plugged in. A crossover from the dc-like bahavior to the ac regime is identified. The dynamical scaling analysis has enabled us to quantify the plateau in the ac Hall conductivity previously obtained, and to predict that the plateaux structure in ac is robust enough to be observed in the THz regime.

arXiv comment5 pages, 3 figures

References in corpus (10)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Scaling Theory of the Integer Quantum Hall Effect
• Landau level spectroscopy of ultrathin graphite layers
• Optical Hall conductivity in ordinary and graphene QHE systems
• Optical Hall Effect in the Integer Quantum Hall Regime
• Parity-odd effects and polarization rotation in graphene
• Cyclotron radiation and emission in graphene
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Quantum Hall plateau transition in graphene with spatially correlated random hopping
• Dynamical scaling of the quantum Hall plateau transition

Cited by in corpus (7)

• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Terahertz Magneto Optical Polarization Modulation Spectroscopy
• Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
• Terahertz dynamics of a topologically protected state: quantum Hall effect plateaus near cyclotron resonance in a GaAs/AlGaAs heterojunction
• High-frequency breakdown of the integer QHE in GaAs/AlGaAs heterojunctions
• Two parameter flow of σ_{xx}(ω) - σ_{xy}(ω) for the graphene quantum Hall system in ac regime
• Quantum plateaus in dynamical Hall conductivity