Conductivity of pure graphene: Theoretical approach using the polarization tensor

Mostepanenko, V. M.

doi:10.1103/physrevb.93.245419

Cited by 32 publications

(46 citation statements)

References 64 publications

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“…This is seen from the fact that along the real frequency axis this tensor does have an imaginary part [58,59] (see also Ref. [62] for another theoretical approach to the description of relaxation of charge carriers in graphene).…”

Section: Experimental Scheme and General Formalismmentioning

confidence: 99%

“…Note that the polarization tensor describes the response of a physical system to an electromagnetic field. Because of this, it is immediately connected with physical quantities such as the dielectric permittivity [26,42] and conductivity [58,59] of graphene. For instance, the in-plane component of the nonlocal dielectric permittivity of graphene calculated at the imaginary Matsubara frequencies is given by [26,42] …”

Section: Experimental Scheme and General Formalismmentioning

confidence: 99%

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How to observe the giant thermal effect in the Casimir force for graphene systems

Bimonte

Mostepanenko

2017

Phys. Rev. A

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A differential measurement scheme is proposed which allows for a clear observation of the giant thermal effect for the Casimir force, that was recently predicted to occur in graphene systems at short separation distances. The difference among the Casimir forces acting between a metal-coated sphere and the two halves of a dielectric plate, one uncoated and the other coated with graphene, is calculated in the framework of the Dirac model using the rigorous formalism of the polarization tensor. It is shown that in the proposed configuration both the difference among the Casimir forces and its thermal contribution can be easily measured using already existing experimental setups.An observation of the giant thermal effect should open opportunities for modulation and control of dispersion forces in micromechanical systems based on graphene and other novel 2D-materials.

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Section: Experimental Scheme and General Formalismmentioning

confidence: 99%

Section: Experimental Scheme and General Formalismmentioning

confidence: 99%

How to observe the giant thermal effect in the Casimir force for graphene systems

Bimonte

Mostepanenko

2017

Phys. Rev. A

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“…As special case of (56) without effective Zeeman fields, the high-frequency limit coincides with the result of 60 . In figure 4 finally we plot the complete static conductivity as a sum of (50) and (54). For zero temperature the universal finite value at low densities comes exclusively from the interband conductivity as discussed above.…”

Section: Intraband Contributionmentioning

confidence: 96%

Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation

Morawetz

2016

Phys. Rev. B

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Based on the quantum kinetic equations for systems with SU(2) structure, regularization-free density and pseudospin currents are calculated in graphene realized as the infinite mass-limit of electrons with quadratic dispersion and a proper spin-orbit coupling. Correspondingly the currents possess no quasiparticle part but only anomalous parts. The intraband and interband conductivities are discussed with respect to magnetic fields and magnetic domain puddles. It is found that the magnetic field and meanfield of domains can be represented by an effective Zeeman field. For large Zeeman fields the dynamical conductivities become independent of the density and are universal in this sense. The different limits of vanishing density, relaxation, frequency, and Zeeman field are not interchangeable. The optical conductivity agrees well with the experimental values using screened impurity scattering and an effective Zeeman field. The universal value of Hall conductivity is shown to be modified due to the Zeeman field. The pseudospin current reveals an anomaly since a quasiparticle part appears though it vanishes for particle currents. The density and pseudospin response functions to an external electric field are calculated and the dielectric function is discussed with respect to collective excitations. A frequency and wave-vector range is identified where the dielectric function changes sign and the repulsive Coulomb potential becomes effectively attractive allowing Cooper pairing.

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“…In Ref. [32] the same formalism was applied to investigate the electrical conductivity of pure graphene. Finally, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Optical properties of dielectric plates coated with gapped graphene

Mostepanenko

2017

Phys. Rev. B

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The optical properties of dielectric plates coated with gapped graphene are investigated on the basis of first principles of quantum electrodynamics. The reflection coefficients and reflectivities of graphene-coated plates are expressed in terms of the polarization tensor of gapped graphene and the dielectric permittivity of plate material. Simple approximate expressions for the required combinations of components of the polarization tensor applicable in the wide frequency region, where the presence of a gap influences the optical properties, are found. Numerical computations of the reflectivities of graphene-coated SiO 2 plates are performed for different values of the mass-gap parameter at different temperatures. It is shown that with an increasing gap width the reflectivity of a graphene-coated plate at the normal incidence decreases by up to a factor of 8 depending on the values of frequency and mass-gap parameter. The angle dependences of reflectivities for both polarizations of the incident electromagnetic waves have been computed for Si and SiO 2 plates coated with gapped graphene. We demonstrate that the TM reflectivity has a minimum value at some angle of incidence depending on the mass-gap parameter, frequency and temperature, whereas the TE reflectivity depends on the angle of incidence monotonously. However, for the graphene coatings with a nonzero mass-gap parameter the reflected light cannot be fully polarized.Possible applications of the obtained results are discussed.

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Conductivity of pure graphene: Theoretical approach using the polarization tensor

Cited by 32 publications

References 64 publications

How to observe the giant thermal effect in the Casimir force for graphene systems

How to observe the giant thermal effect in the Casimir force for graphene systems

Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation

Optical properties of dielectric plates coated with gapped graphene

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