Confinement-induced nonlocality and casimir force in transdimensional systems.

Area of Science:

• Condensed matter physics
• Surface science
• Nanotechnology

Background:

• The Casimir force, a quantum electrodynamic effect, governs interactions between uncharged conductive surfaces.
• Lifshitz theory provides a framework for calculating the Casimir force, considering material properties and geometry.
• Understanding Casimir forces is crucial for nanoscale device design and material science.

Purpose of the Study:

• To investigate the long-range Casimir force in free-standing transdimensional material slabs.
• To analyze the effects of confinement-induced nonlocality on Casimir force in isotropic slabs.
• To explore orientational anisotropy and thickness-dependent behavior in anisotropic slabs.

Main Methods:

• Application of the Lifshitz theory framework.
• Analysis of in-plane isotropic and anisotropic free-standing transdimensional material slabs.
• Modeling of closely packed arrays of parallel aligned single-wall carbon nanotubes within a dielectric layer.

Main Results:

• Confinement-induced nonlocality weakens attraction in ultrathin isotropic slabs.
• The distance dependence of the Casimir force correction deviates from the local Lifshitz prediction.
• Anisotropic slabs exhibit strong orientational anisotropy and crossover behavior, with reduced attraction at smaller thicknesses.

Conclusions:

• Ultrathin slabs show reduced Casimir attraction due to confinement effects.
• Anisotropic materials, like carbon nanotube arrays, display complex Casimir force behaviors.
• Perpendicular orientation is favored for ultrathin anisotropic slabs, contrary to classical expectations.