Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
arXiv:1712.04977 · doi:10.1103/PhysRevB.96.235432
Abstract
The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed via the components of the polarization tensor in (2+1)-dimensional space-time analytically continued to the real frequency axis. Simple analytic expressions for both the real and imaginary parts of the conductivity of graphene are obtained at zero and nonzero temperature. They demonstrate an interesting interplay depending on the values of mass gap and chemical potential. In the local limit, several results obtained earlier using various approximate and phenomenological approaches are reproduced, refined and generalized. The numerical computations of both the real and imaginary parts of the conductivity of graphene are performed to illustrate the obtained results. The analytic expressions for the conductivity of graphene obtained in this paper can serve as a guide in the comparison between different theoretical approaches and between experiment and theory.
arXiv comment27 pages, 5 figures; accepted for publication in Phys. Rev. B
References in corpus (62)
- The electronic properties of graphene
- Electronic transport in two dimensional graphene
- Measurement of the Optical Conductivity of Graphene
- Electronic Properties of Disordered Two-Dimensional Carbon
- 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
- Magneto-optical conductivity in Graphene
- Space-time dispersion of graphene conductivity
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
- Magnetic field driven metal-insulator phase transition in planar systems
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- Plasmonics in Dirac systems: from graphene to topological insulators
- On the universal AC optical background in graphene
- On the minimal conductivity of graphene
- 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
- Robust Transport Properties in Graphene
- Anomalous Absorption Line in the Magneto-Optical Response of Graphene
- Fresnel coefficients of a two-dimensional atomic crystal
- Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
- Measuring the Casimir force gradient from graphene on a SiO_2 substrate
- Minimum Electrical and Thermal Conductivity of Graphene: A Quasiclassical Approach
- Dense matter in compact stars - A pedagogical introduction
- Thermal Casimir-Polder interaction of different atoms with graphene
- Generalized kinetic equations for charge carriers in graphene
- Retarded interactions in Graphene systems
- 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
- Dynamics of the particle - hole pair creation in graphene
- Low frequency optical conductivity in graphene and in other scale-invariant two-band systems
- Minimal conductivity, topological Berry winding and duality in three-band semimetals
- Enhanced Casimir effect for doped graphene
- Two approaches for describing the Casimir interaction with graphene: density-density correlation function versus polarization tensor
- 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
- Ground-state properties of gapped graphene using the random phase approximation
- Transport in a Clean Graphene Sheet at Finite Temperature and Frequency
- Emending thermal dispersion interactions of Li, Na, K and Rb alkali metal-atoms with graphene in the Dirac model
- Nonlinear optical response in gapped graphene
- Numerical study of the conductivity of graphene monolayer within the effective field theory approach
- Conductivity of pure graphene: Theoretical approach using the polarization tensor
- Dynamical current-current susceptibility of gapped graphene
- 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
- 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
- Classical limit of the Casimir interaction for thin films with applications to graphene
- Reflectivity properties of graphene with nonzero mass-gap parameter
- Temperature dependent screened electronic transport in gapped graphene
- Casimir effects in systems containing 2D layers, like graphene and 2D electron gases
- Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
- Graphene Conductivity near the Charge Neutral Point
- Origin of the quasi-universality of the graphene minimal conductivity
- Optical properties of dielectric plates coated with gapped graphene
- Quantum field theory of the Casimir force for graphene
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- The Nernst heat theorem for an atom interacting with graphene: Dirac model with nonzero energy gap and chemical potential
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- Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
- On the convergence of the polarization tensor in space-time of three dimensions
- Reduced quantum electrodynamics in curved space
- The Casimir-Polder interaction of an atom and real graphene sheet: Verification of the Nernst heat theorem
- First order phase transitions within Weyl type of materials at low temperatures
- Casimir-Lifshitz force with graphene: theory versus experiment, role of spatial non-locality and of losses
- Maximum reflectance and transmittance of films coated with gapped graphene in the context of Dirac model
- Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field
- Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential
- Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
- Collective modes for helical edge state interacting with quantum light
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