The Casimir effect for a stack of conductive planes

Abstract

The Casimir interaction in a stack of equally spaced infinitely thin layers is investigated within the zero-frequency mode summation method. The response properties are considered to be described by a constant conductivity or by a Drude-Lorentz model with a finite set of oscillators consistent with the optical characteristics for graphite. It is found that the asymptotic distance dependence is affected significantly by the specific response. While the energy is $\sim 1/d^3$ for the constant conductivity model, the energy exhibits fractional dependence $\sim 1/d^{5/2}$ for the Drude-Lorentz description. The Casimir force on a plane is also strongly dependent upon the particular plane location in the stack. Furthermore, the calculated Casimir energy within the Drude-Lorentz model yields results in good agreement with measured cohesion energy in graphite.

9 pages, 4 figures

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Cited by in corpus (10)

• A Materials Perspective on Casimir and van der Waals Interactions
• The Casimir-Polder effect for a stack of conductive planes
• The quest for Casimir repulsion between Chern-Simons surfaces
• Thermal Casimir and Casimir-Polder interactions in $N$ parallel 2D Dirac materials
• The Casimir effect in topological matter
• The low temperature behavior the Casimir-Polder energy for conductive plane
• The Casimir effect for stack of graphenes
• The normal Casimir force for lateral moving planes with isotropic conductivities
• On the (im)possibility of Casimir repulsion between Chern-Simons surfaces
• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception