Classical Casimir-Polder force between polarizable microparticles and thin films including graphene

Abstract

We derive analytic expressions for the classical Casimir-Polder free energy and force for a polarizable (magnetizable) atom (microparticle) interacting with thin films, made of different materials, or graphene. It is shown that for an isolated dielectric film the free energy and force decrease quicker with separation, as compared to the case of atom interacting with a thick plate (semispace). For metallic films some peculiar features depending on the model of a metal used are analyzed. For an atom interacting with graphene we demonstrate that at room temperature the classical regime is achieved at about $1.5\mu$m separation. In this regime the contributions to the free energy and force due to atomic magnetic polarizability are suppressed, as compared to main terms caused by the atomic electric polarizability. According to our results, at separations above $5\mu$m the Casimir-Polder interaction of atoms with graphene is of the same strength as with an ideal-metal plane. The classical interaction of atoms with thin films deposited on substrates is also considered.

21 pages, 2 figures, to appear in Phys. Rev. A

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Cited by in corpus (24)

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• 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
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• 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
• Casimir and van der Waals forces: Advances and problems
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• The Nernst heat theorem for an atom interacting with graphene: Dirac model with nonzero energy gap and chemical potential
• Low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with graphene
• Anisotropy enhancement of the Casimir-Polder force between a nanoparticle and graphene
• Quantum field theory of the Casimir force for graphene
• Casimir-Polder Interaction of an Atom with a Cavity Wall Made of Phase-Change Material out of Thermal Equilibrium
• The Casimir effect in graphene systems: Experiment and theory
• Nonperturbative theory of atom-surface interaction: Corrections at short separations
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential
• Casimir-Polder Force on Atoms or Nanoparticles from the Gapped and Doped Graphene: Asymptotic Behavior at Large Separations
• Large-Separation Behavior of the Casimir-Polder Force from Real Graphene Sheet Deposited on a Dielectric Substrate
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium