Optical conductivity of bilayer graphene with and without an asymmetry gap

Abstract

When a bilayer of graphene is placed in a suitably configured field effect device, an asymmetry gap can be generated and the carrier concentration made different in each layer. This provides a tunable semiconducting gap, and the valence and the conductance band no longer meet at the two Dirac points of the graphene Brillouin zone. We calculate the optical conductivity of such a semiconductor with particular emphasis on the optical spectral weight redistribution brought about by changes in gap and chemical potential due to charging. We derive an algebraic formula for arbitrary value of the chemical potential for the case of the bilayer conductivity without a gap.

arXiv commentfinal accepted version for PRB, added discussion and typos fixed

References in corpus (22)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• Asymmetry gap in the electronic band structure of bilayer graphene
• Universal dynamical conductance in graphite
• Magneto-optical conductivity in Graphene
• Space-time dispersion of graphene conductivity
• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Optical and magneto-optical far-infrared properties of bilayer graphene
• Electronic properties of graphene multilayers
• Sum Rules for the Optical and Hall Conductivity in Graphene
• Edge and Surface States in the Quantum Hall Effect in Graphene
• Magnetospectroscopy of epitaxial few-layer graphene
• Electron energy spectrum and the Berry phase in graphite bilayer
• Infrared probe of the anomalous magnetotransport of highly oriented pyrolytic graphite in the extreme quantum limit
• Optical Sum Rule in Finite Bands
• Robustness of the optical-conductivity sum rule in Bilayer Graphene

Cited by in corpus (93)

• Properties of Graphene: A Theoretical Perspective
• The electronic properties of bilayer graphene
• The optical conductivity of graphene in the visible region of the spectrum
• Excitonic Effects on the Optical Response of Graphene and Bilayer Graphene
• Observation of an Electric-Field Induced Band Gap in Bilayer Graphene by Infrared Spectroscopy
• Electronic properties of graphene-based bilayer systems
• Determination of the gate-tunable bandgap and tight-binding parameters in bilayer graphene using infrared spectroscopy
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
• Valley-Spin Polarization in the Magneto-Optical Response of Silicene and Other Similar 2D Crystals
• Infrared spectroscopy of electronic bands in bilayer graphene
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• Optical Signatures of the Tunable Band Gap and Valley-Spin Coupling in Silicene
• Dynamical conductivity of AA-stacked bilayer graphene
• Longitudinal and spin/valley Hall optical conductivity in single layer $Mo{S}_2$
• Origin of Universal Optical Conductivity and Optical Stacking Sequence Identification in Multilayer Graphene
• Optical Conductivity of Twisted Bilayer Graphene
• Tunable Excitons in Biased Bilayer Graphene
• AC/DC Spin and Valley Hall Effects in Silicene and Germanene
• Magneto-optical Selection Rules in Bilayer Bernal Graphene
• Transverse electric plasmons in bilayer graphene
• Magneto-optical conductivity in a topological insulator
• Current injection by coherent one- and two-photon excitation in graphene and its bilayer
• Novel mid-infrared plasmonic properties of bilayer graphene
• Optical properties of a semi-Dirac material
• Charged-phonon theory and Fano effect in the optical spectroscopy of bilayer graphene
• Dirac electrons in graphene-based quantum wires and quantum dots
• Magneto-optical conductivity in graphene including electron-phonon coupling
• Dielectric screening and plasmons in AA-stacked bilayer graphene
• Plasmons in tunnel-coupled graphene layers: backward waves with quantum cascade gain
• Emission and amplification of surface plasmons in resonant - tunneling van der Waals heterostructures
• Klein tunneling and cone transport in AA-stacked bilayer graphene
• Phonon switching and combined Fano-Rice effect in optical spectra of bilayer graphene
• Shielding vacuum fluctuations with graphene
• Influence of interlayer asymmetry on magneto-spectroscopy of bilayer graphene
• Magneto-optical and optical probes of gapped ground states of bilayer graphene
• Transfer matrix approach for the Kerr and Faraday rotation in layered nanostructures
• Disorder-induced tail states in a gapped bilayer graphene
• Superluminal plasmons with resonant gain in population inverted bilayer graphene
• Infrared to terahertz optical conductivity of $n$-type and $p$-type monolayer MoS${}_2$ in the presence of Rashba spin-orbit coupling
• Effects of electron-phonon coupling on Landau levels in graphene
• Effect of next-nearest neighbor coupling on the optical spectra in bilayer graphene
• Features due to spin-orbit coupling in the optical conductivity of single-layer graphene
• Localized plasmons in bilayer graphene nanodisks
• Relation between Zitterbewegung and the charge conductivity, Berry curvature and the Chern number of multi band systems
• Effect of electron-phonon coupling on energy and density of states renormalizations of dynamically screened graphene
• Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
• Ultrapure Multilayer Graphene in Bromine Intercalated Graphite
• External gates and transport in biased bilayer graphene
• Phonon structure in dispersion curves and density of states of massive Dirac Fermions
• Screening in gated bilayer graphene
• Nonlinear Response of Bilayer Graphene at Terahertz Frequencies
• Magneto-optics of monolayer and bilayer graphene
• Optical Conductivity of Topological Insulator Thin Films in a Quantizing Magnetic Field
• Band Structure and Optical Absorption in Multilayer Armchair Graphene Nanoribbons: A Pariser-Parr-Pople Model Study
• Optical conductivity of hydrogenated graphene from first principles
• Optical conductivity of ABA stacked graphene trilayer: mid-IR resonance due to band nesting
• Infrared absorption of closely-aligned heterostructures of monolayer and bilayer graphene with hexagonal boron nitride
• Nonlinear response of biased bilayer graphene at terahertz frequencies
• Geometrical structure and the electron transport properties of monolayer and bilayer silicene near the semimetal-insulator transition point in tight-binding model
• Gate-tunable bandgap in bilayer graphene
• Theory of Optical Activity in Doped Systems with Application to Twisted Bilayer Graphene
• Magneto-transmission of multi-layer epitaxial graphene and bulk graphite: A comparison
• Optical activity and transport in twisted bilayer graphene: the essence of spatial dispersion effects
• Optical Hall conductivity of systems with gapped spectral nodes
• Influence of interface-induced valley-Zeeman and spin-orbit couplings\\ on transport in graphene-on-WSe${}_2$ heterostructures
• Two-Photon Absorption in Gapped Bilayer Graphene with a Tunable Chemical Potential
• Anomalous geometric transport signatures of topological Euler class
• Carrier concentrations and optical conductivity of a band-inverted semimetal in two and three dimensions
• Quantum magneto-optics of graphite family
• Reduced absorption due to defect-localized interlayer excitons in transition metal dichalcogenide-graphene heterostructures
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Comparison of microscopic models for disorder in bilayer graphene: Implications for the density of states and the optical conductivity
• In-plane magnetoelectric response in bilayer graphene
• Optical conductivity of tilted higher pseudospin Dirac-Weyl cones
• AC transport properties of single and bilayer graphene
• Quantum quench dynamics and population inversion in bilayer graphene
• Coulomb center instability in bilayer graphene
• Electronic spectrum and optical properties of Y-shaped Kekule-patterned graphene: Band nesting resonance as an optical signature
• Optical Phonon Anomaly in Bilayer Graphene with Ultrahigh Carrier Densities
• High thermoelectric performance in excitonic bilayer graphene
• Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
• Optical conductivity of triple point fermions
• Distinguishing Coulomb and electron-phonon interactions for massless Dirac fermions
• Ultraviolet absorption spectrum of the half-filled bilayer graphene
• Voltage Tunable Plasmon Propagation in Dual Gated Bilayer Graphene
• Electronic transport and dynamical polarization in bilayer silicene-like system
• Band structure asymmetry of bilayer graphene revealed by infrared spectroscopy
• High energy shift in the optical conductivity spectrum of the bilayer graphene
• Strain- and doping-tunable optical resonance in Kekulé-Y graphene
• Optical manifestations of symmetry breaking in bilayer graphene
• Optical properties of biased bilayer graphene due to gap parameter effects
• Optical spectrum of $n$-type and $p$-type monolayer MoS${}_2$ in the presence of proximity-induced interactions
• Stacking Dependent Optical Conductivity of Bilayer Graphene