Classical limit of the Casimir interaction for thin films with applications to graphene

Abstract

The Casimir interaction between two thin material films, between a film and a thick plate and between two films deposited on substrates is considered at large separations (high temperatures) which correspond to the classical limit. It is shown that the free energy of the classical Casimir interaction between two insulating films with no free charge carriers and between an insulating film and a material plate depends on film thicknesses and decreases with separation more rapidly than the classical limit for two thick plates. The free energy of thin films characterized by the metallic-type dielectric permittivity decreases as the second power of separation, i.e., demonstrates the standard classical limit. The obtained results shed light on the possibility to describe dispersion interaction between two graphene sheets and between a graphene sheet and a material plate by modeling graphene as a thin film possessing some dielectric permittivity. It is argued that the most reliable results are obtained by describing the reflection properties on graphene by means of the polarization tensor in (2+1)-dimensional space-time.

23 pages, 1 figure; to appear in Phys. Rev. B

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Cited by in corpus (23)

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• 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
• Tuning quantum fluctuations with an external magnetic field: Casimir-Polder interaction between an atom and a graphene sheet
• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• 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
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• 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
• 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
• Casimir effects in systems containing 2D layers, like graphene and 2D electron gases
• Casimir and van der Waals forces: Advances and problems
• The van der Waals and Casimir energy of anisotropic atomically thin metallic films
• Quantum field theory of the Casimir force for graphene
• 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
• Novel approaches to tailor and tune light-matter interactions at the nanoscale