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Main Authors: Bondarev, Igor V., Pugh, Michael D., Rodriguez-Lopez, Pablo, Woods, Lilia M., Antezza, Mauro
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.06452
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author Bondarev, Igor V.
Pugh, Michael D.
Rodriguez-Lopez, Pablo
Woods, Lilia M.
Antezza, Mauro
author_facet Bondarev, Igor V.
Pugh, Michael D.
Rodriguez-Lopez, Pablo
Woods, Lilia M.
Antezza, Mauro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_06452
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Confinement-Induced Nonlocality and Casimir Force in Transdimensional Systems
Bondarev, Igor V.
Pugh, Michael D.
Rodriguez-Lopez, Pablo
Woods, Lilia M.
Antezza, Mauro
Quantum Physics
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.
title Confinement-Induced Nonlocality and Casimir Force in Transdimensional Systems
topic Quantum Physics
url https://arxiv.org/abs/2307.06452