The Casimir-Polder interaction of an atom and real graphene sheet: Verification of the Nernst heat theorem

Abstract

We find the low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with real graphene sheet possessing nonzero energy gap and chemical potential. Employing the formalism of the polarization tensor, it is shown that the Casimir-Polder entropy goes to zero by the power law with vanishing temperature, i.e., the Nernst heat theorem is satisfied. This result is discussed in connection with the problems connected with account of free charge carriers in the Lifshitz theory.

8 pages; to appear in Mod. Phys. Lett. A; based on the talk presented at the "10th Alexander Friedmann International Seminar on Gravitation and Cosmology and 4th Symposium on the Casimir Effect" (Saint Petersburg, Russia, June 2019)

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Cited by in corpus (6)

• 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
• The Casimir effect in graphene systems: Experiment and theory
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• 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