Maximum reflectance and transmittance of films coated with gapped graphene in the context of the Dirac model

Mostepanenko, V. M.

doi:10.1103/physreva.97.063817

Cited by 5 publications

(7 citation statements)

References 55 publications

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“…Equations ( 27)-( 30) have been used in calculations of the Casimir interaction in graphene systems [108][109][110][111][112][113]. After an analytic continuation to the real frequency axis, they were also applied for investigation of the electrical conductivity [114][115][116][117] and reflectances of graphene [118][119][120][121][122][123]. This allows us to compare the longitudinal and transverse dielectric permittivities of graphene ε ,⊥ , which are directly expressed via the respective conductivities σ ,⊥ , with the dielectric permittivity of the Drude model ε D .…”

Section: Quantum Field Theoretical Description Of the Electromagnetic...mentioning

confidence: 99%

“…This representation was generalized for the case of graphene with nonzero µ [107]. The results of [106,107] have also been used in investigation of the Casimir effect [108][109][110][111][112][113], electrical conductivity [114][115][116][117] and reflectivity [118][119][120][121][122][123] in graphene systems. The polarization tensor for a strained graphene was also derived [124].…”

Section: Introductionmentioning

confidence: 99%

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Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

Mostepanenko

2020

Universe

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We review recent results on the low-temperature behaviors of the Casimir-Polder and Casimir free energy an entropy for a polarizable atom interacting with a graphene sheet and for two graphene sheets, respectively. These results are discussed in the wide context of problems arising in the Lifshitz theory of van der Waals and Casimir forces when it is applied to metallic and dielectric bodies. After a brief treatment of different approaches to theoretical description of the electromagnetic response of graphene, we concentrate on the derivation of response function in the framework of thermal quantum field theory in the Matsubara formulation using the polarization tensor in (2 + 1)-dimensional space—time. The asymptotic expressions for the Casimir-Polder and Casimir free energy and entropy at low temperature, obtained with the polarization tensor, are presented for a pristine graphene as well as for graphene sheets possessing some nonzero energy gap Δ and chemical potential μ under different relationships between the values of Δ and μ. Along with reviewing the results obtained in the literature, we present some new findings concerning the case μ≠0, Δ=0. The conclusion is made that the Lifshitz theory of the Casimir and Casimir-Polder forces in graphene systems using the quantum field theoretical description of a pristine graphene, as well as real graphene sheets with Δ>2μ or Δ<2μ, is consistent with the requirements of thermodynamics. The case of graphene with Δ=2μ≠0 leads to an entropic anomaly, but is argued to be physically unrealistic. The way to a resolution of thermodynamic problems in the Lifshitz theory based on the results obtained for graphene is discussed.

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Section: Quantum Field Theoretical Description Of the Electromagnetic...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

Mostepanenko

2020

Universe

View full text Add to dashboard Cite

show abstract

“…Equations ( 27)-( 30) have been used in calculations of the Casimir interaction in graphene systems [108][109][110][111][112][113]. After an analytic continuation to the real frequency axis, they were also applied for investigation of the electrical conductivity [114][115][116][117] and reflectances of graphene [118][119][120][121][122][123]. This allows to compare the longitudinal and transverse dielectric permittivities of graphene ε ,⊥ , which are directly expressed via the respective conductivities σ ,⊥ , with the dielectric permittivity of the Drude model ε D .…”

Section: Quantum Field Theoretical Description Of the Electromagnetic...mentioning

confidence: 99%

Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

Klimchitskaya,

Mostepanenko

2020

Preprint

Self Cite

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We review recent results on the low-temperature behaviors of the Casimir-Polder and Casimir free energy an entropy for a polarizable atom interacting with a graphene sheet and for two graphene sheets, respectively. These results are discussed in the wide context of problems arising in the Lifshitz theory of van der Waals and Casimir forces when it is applied to metallic and dielectric bodies. After a brief treatment of different approaches to theoretical description of the electromagnetic response of graphene, we concentrate on the derivation of response function in the framework of thermal quantum field theory in the Matsubara formulation using the polarization tensor in (2+1)-dimensional space-time. The asymptotic expressions for the Casimir-Polder and Casimir free energy and entropy at low temperature, obtained with the polarization tensor, are presented for a pristine graphene as well as for graphene sheets possessing some nonzero energy gap ∆ and chemical potential µ under different relationships between the values of ∆ and µ. Along with reviewing the results obtained in the literature, we present some new findings concerning the case µ = 0, ∆ = 0. The conclusion is made that the Lifshitz theory of the Casimir and Casimir-Polder forces in graphene systems using the quantum field theoretical description of a pristine graphene, as well as real graphene sheets with ∆ > 2µ or ∆ < 2µ, is consistent with the requirements of thermodynamics. The case of graphene with ∆ = 2µ = 0 leads to an entropic anomaly, but is argued to be physically unrealistic. The way to a resolution of thermodynamic problems in the Lifshitz theory based on the results obtained for graphene is discussed.

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“…The TM reflection coefficient of the electromagnetic waves on a freestanding graphene sheet is expressed as [47,71]…”

Section: General Formalism For the Reflectancementioning

confidence: 99%

“…Using the polarization tensor of [47,48], the reflectivity properties of material plates coated with pure [68,69] and gapped [70] graphene have been investigated. The case of thin films coated with gapped graphene has been considered as well [71]. However, the joint action of nonzero energy gap and chemical potential on the reflectivity properties of graphenecoated plates, which is of major interest for condensed matter physics and its applications, remains to date unexplored.…”

Section: Introductionmentioning

confidence: 99%

Reflectance of graphene-coated dielectric plates in the framework of Dirac model: joint action of energy gap and chemical potential

Malyi

Mostepanenko

Петров

2019

J. Phys.: Condens. Matter

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We investigate the reflectance of a dielectric plate coated with a graphene sheet which possesses the nonzero energy gap and chemical potential at any temperature. The general formalism for the reflectance using the polarization tensor is presented in the framework of Dirac model. It allows calculation of the reflectivity properties for any material plate coated with real graphene sheet on the basis of first principles of quantum electrodynamics. Numerical computations of the reflectance are performed for the graphene-coated SiO 2 plate at room, liquid-nitrogen, and liquid-helium temperatures. We demonstrate that there is a nontrivial interplay between the chemical potential, energy gap, frequency, and temperature in their joint action on the reflectance of a graphene-coated plate. Specifically, it is shown that at the fixed frequency of an incident light an increase of the chemical potential and the energy gap affect the reflectance in opposite directions by increasing and decreasing it, respectively. According to our results, the reflectance approaches unity at sufficiently low frequencies and drops to that of an uncoated plate at high frequencies for any values of the chemical potential and energy gap. The impact of temperature on the reflectance is found to be more pronounced for graphene coatings with smaller chemical potentials. The obtained results could be applied for optimization of optical detectors and other devices exploiting graphene coatings.

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Maximum reflectance and transmittance of films coated with gapped graphene in the context of the Dirac model

Cited by 5 publications

References 55 publications

Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics

Reflectance of graphene-coated dielectric plates in the framework of Dirac model: joint action of energy gap and chemical potential

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