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.

20 pages, 4 figures, 52 references

References in corpus (13)

• Two-Dimensional Material Nanophotonics
• Colloquium: Graphene spectroscopy
• Effects of spatial dispersion in near-field radiative heat transfer between two parallel metallic surfaces
• Optical and Structural Properties of Ultra-thin Gold Films
• Plasmonics in Atomically-Thin Crystalline Silver Films
• Universal features of the optical properties of ultrathin plasmonic films
• Quantum Effects in the Acoustic Plasmons of Atomically-Thin Heterostructures
• Collective Excitations and Optical Response of Ultrathin Carbon Nanotube Films
• Determination of Thickness-dependent Damping Constant and Plasma Frequency for Ultrathin Ag and Au Films: Nanoscale Dielectric Function
• Far- and Near-Field Heat Transfer in Transdimensional Plasmonic Film Systems
• Controlling Single-Photon Emission with Ultrathin Transdimensional Plasmonic Films
• Vacuum fluctuation forces between ultra-thin films
• Dispersive interactions between standard and Dirac materials and the role of dimensionality

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