Confinement-Induced Nonlocality and Casimir Force in Transdimensional Systems

Abstract

We study within the framework of the Lifshitz theory the long-range Casimir force for in-plane isotropic and anisotropic free-standing transdimensional material slabs. In the former case, we show that the confinement-induced nonlocality not only weakens the attraction of ultrathin slabs but also changes the distance dependence of the material-dependent correction to the Casimir force to go as $\sim 1/\sqrt{l}$ contrary to the $\sim 1/l$ dependence of that of the local Lifshitz force. In the latter case, we use closely packed array of parallel aligned single-wall carbon nanotubes in a dielectric layer of finite thickness to demonstrate strong orientational anisotropy and crossover behavior for the inter-slab attractive force in addition to its reduction with decreasing slab thickness. We give physical insight as to why such a pair of ultrathin slabs prefers to stick together in the perpendicularly oriented manner, rather than in the parallel relative orientation as one would customarily expect.

arXiv comment20 pages, 4 figures, 52 references

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Cited by in corpus (5)

• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Giant anisotropy and Casimir phenomena: the case of carbon nanotube metasurfaces
• Tunable non-additivity in Casimir-Lifshitz force between graphene gratings
• Anisotropic Photon Emission Enhancement near Carbon Nanotube Metasurfaces
• Goos-Hänchen effect singularities in transdimensional plasmonic films