Impact of chemical potential on the reflectance of graphene in the infrared and microwave domains

Abstract

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection coefficients of the electromagnetic waves on a graphene sheet expressed via the polarization tensor and ultimately via the electrical conductivity of graphene have been used. The reflectance of graphene is computed as a function of frequency and chemical potential at different temperatures and values of the band-gap parameter. The minimum values of the reflectance are found which are reached in the infrared domain at the points of vanishing imaginary part of the conductivity of graphene. For a gapped graphene, the maximum reflectance equal to unity is reached at the points where the imaginary part of conductivity diverges. The computational results demonstrate an interesting interplay between the band gap and chemical potential in their combined effect on the reflectance. Specifically, there are wide frequency intervals where the reflectance of graphene increases with increasing chemical potential and decreasing band gap. The numerical computations are found to be in good agreement with the analytic asymptotic expressions in the regions of their applicability. Several technological areas, where the obtained results could be used, are listed.

arXiv comment19 pages, 8 figures; 3 typos are corrected

References in corpus (51)

• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Measurement of the Optical Conductivity of Graphene
• Optical properties of graphene
• Colloquium: The transport properties of graphene: An introduction
• Optical far-infrared properties of graphene monolayer and multilayers
• The optical conductivity of graphene in the visible region of the spectrum
• Drude Conductivity of Dirac Fermions in Graphene
• Measurement of the Optical Absorption Spectra of Epitaxial Graphene from Terahertz to Visible
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Finite temperature Casimir effect for graphene
• Dynamical polarization, screening, and plasmons in gapped graphene
• Casimir interaction between a perfect conductor and graphene described by the Dirac model
• Mechanism for graphene-based optoelectronic switches by tuning surface plasmon-polaritons in monolayer graphene
• Observation of Intra- and Inter-band Transitions in the Optical Response of Graphene
• Longitudinal and spin/valley Hall optical conductivity in single layer $Mo{S}_2$
• Dynamical polarizability of graphene beyond the Dirac cone approximation
• Thermal Casimir-Polder interaction of different atoms with graphene
• Thermal Casimir effect in the interaction of graphene with dielectrics and metals
• Van der Waals and Casimir interactions between two graphene sheets
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Enhanced Casimir effect for doped graphene
• Transverse electric plasmons in bilayer graphene
• Two approaches for describing the Casimir interaction with graphene: density-density correlation function versus polarization tensor
• Magneto-optical conductivity in a topological insulator
• Observability of thermal effects in the Casimir interaction from graphene-coated substrates
• Origin of large thermal effect in the Casimir interaction between two graphene sheets
• Emending thermal dispersion interactions of Li, Na, K and Rb alkali metal-atoms with graphene in the Dirac model
• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Impact of graphene coating on the atom-plate interaction
• Dispersion C3 coefficients for the alkali-metal atoms interacting with a graphene layer and with a carbon nanotube
• How to observe the giant thermal effect in the Casimir force for graphene systems
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Theory of reflectivity properties of graphene-coated material plates
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Classical Casimir-Polder force between polarizable microparticles and thin films including graphene
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Reflectivity properties of graphene with nonzero mass-gap parameter
• Classical limit of the Casimir interaction for thin films with applications to graphene
• Phonon structure in dispersion curves and density of states of massive Dirac Fermions
• Conductivity of Dirac fermions with phonon induced topological crossover
• Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
• Optical spectral weight: comparison of weak and strong spin-orbit coupling
• Particle-hole asymmetry on Hall conductivity of a topological insulator
• Optical properties of dielectric plates coated with gapped graphene
• Quantum field theory of the Casimir force for graphene
• Negative static permittivity and violation of Kramers-Kronig relations in quasi-two-dimensional crystals
• Kramers-Kronig relation of graphene conductivity

Cited by in corpus (7)

• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• The Casimir effect in graphene systems: Experiment and theory
• On the convergence of the polarization tensor in space-time of three dimensions
• The Casimir-Polder interaction of an atom and real graphene sheet: Verification of the Nernst heat theorem
• Introducing Corrections to the Reflectance of Graphene by Light Emission
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential