Van der Waals and Casimir interactions between two graphene sheets

Abstract

The thermal free energy and pressure of dispersion interaction between two graphene sheets described by the Dirac model are calculated using the Lifshitz formula with reflection coefficients expressed via the polarization tensor. The obtained results for a pristine graphene are found to be in agreement with computations using Coulomb coupling between density fluctuations. For a graphene with nonzero mass gap parameter a qualitatively different behavior for the free energy and pressure is obtained. The Lifshitz formula with reflection coefficients expressed via the polarization tensor is used as a test for different computational approaches proposed in the literature for modeling the response function and conductivity of graphene at both zero and nonzero temperature.

14 pages, 5 figures, to appear in Phys. Rev. B

References in corpus (7)

• The electronic properties of graphene
• On the universal AC optical background in graphene
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• Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations
• Control of the Casimir Force Using Semiconductor Test Bodies
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Cited by in corpus (16)

• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• 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
• 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
• How to observe the giant thermal effect in the Casimir force for graphene systems
• 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
• Comparison of hydrodynamic model of graphene with recent experiment on measuring the Casimir interaction
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Casimir effects in systems containing 2D layers, like graphene and 2D electron gases
• Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
• Casimir energy for surfaces with constant conductivity
• Optical properties of dielectric plates coated with gapped graphene
• Novel approaches to tailor and tune light-matter interactions at the nanoscale