Magneto-optical and optical probes of gapped ground states of bilayer graphene

Abstract

We study the influence of different kinds of gaps in a quasiparticle spectrum on longitudinal and transverse optical conductivities of bilayer graphene. An exact analytical expression for magneto-optical conductivity is derived using a low-energy two-band Hamiltonian. We consider how the layer asymmetry gap caused by a bias electric field and a time-reversal symmetry breaking gap affect the absorption lines. The limit of zero magnetic field is then analyzed for an arbitrary carrier density in the two-band model. For a neutral bilayer graphene, the optical Hall and longitudinal conductivities are calculated exactly in the four-band model with four different gaps and zero magnetic field. It is shown that two different time-reversal symmetry breaking states can be distinguished by analyzing the dependence of the optical Hall conductivity on the energy of photon. These time-reversal symmetry breaking states are expected to be observed experimentally via optical polarization rotation either in the Faraday or Kerr effects. We analyze a possibility of such an experiment for a free-standing graphene, graphene on a thick substrate, and graphene on a double-layer substrate.

16 pages, 7 figures; final version published in PRB

References in corpus (28)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Measurement of the Optical Conductivity of Graphene
• Universal dynamical conductance in graphite
• The optical conductivity of graphene in the visible region of the spectrum
• Magneto-optical conductivity in Graphene
• Space-time dispersion of graphene conductivity
• Giant Faraday rotation in single- and multilayer graphene
• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Measurement of the Optical Absorption Spectra of Epitaxial Graphene from Terahertz to Visible
• Optical and magneto-optical far-infrared properties of bilayer graphene
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
• On the universal AC optical background in graphene
• Pseudospin Magnetism in Graphene
• Quantum Anomalous Hall State in Bilayer Graphene
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Cyclotron resonance in bilayer graphene
• Infrared spectroscopy of electronic bands in bilayer graphene
• Optical conductivity of bilayer graphene with and without an asymmetry gap
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Optical Hall conductivity in ordinary and graphene QHE systems
• Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
• Spin-Polarized to Valley-Polarized Transition in Graphene Bilayers at $\nu =0$ in High Magnetic Fields
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Robustness of the optical-conductivity sum rule in Bilayer Graphene

Cited by in corpus (4)

• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Optical Hall response of bilayer graphene: the manifestation of chiral hybridised states in broken mirror symmetry lattices
• Magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulators
• Landau Level Phases in Bilayer Graphene under Pressure at Charge Neutrality