Quantum field theory of the Casimir force for graphene

Abstract

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation for the polarization tensor of graphene allowing the analytic continuation to the whole plane of complex frequencies is given. This representation is used to obtain simple asymptotic expressions for the reflection coefficients at all Matsubara frequencies and to investigate the origin of large thermal effect in the Casimir force for graphene. The developed theory is shown to be in a good agreement with the experimental data on measuring the gradient of the Casimir force between a Au-coated sphere and a graphene-coated substrate. The possibility to observe the thermal effect for graphene due to a minor modification of the already existing experimental setup is demonstrated.

13 pages, 4 figures

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Cited by in corpus (12)

• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Impact of chemical potential on the reflectance of graphene in the infrared and microwave domains
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• Graphene through the looking glass of QFT
• The Casimir effect in graphene systems: Experiment and theory
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential