Confinement-Induced Nonlocality and Casimir Force in Transdimensional Systems

• URL: http://arxiv.org/abs/2307.06452v1
• Date: Wed, 12 Jul 2023 21:07:37 GMT
• Title: Confinement-Induced Nonlocality and Casimir Force in Transdimensional Systems
• Authors: Igor V. Bondarev, Michael D. Pugh, Pablo Rodriguez-Lopez, Lilia M. Woods, and Mauro Antezza
• Abstract summary: We study the long-range Casimir force for in-plane isotropic and anisotropic free-standing transdimensional material slabs. We show that the confinement-induced nonlocality weakens the attraction of ultrathin slabs. We give physical insight as to why such a pair of ultrathin slabs prefers to stick together in the perpendicularly oriented manner.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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