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We discuss repulsive Casimir forces between dielectric materials with non trivial magnetic susceptibility. It is shown that considerations based on naive pair-wise summation of Van der Waals and Casimir Polder forces may not only give an…

Quantum Physics · Physics 2009-11-07 O. Kenneth , I. Klich , A. Mann , M. Revzen

The Casimir effect, arising from vacuum quantum fluctuations, plays a fundamental role in the development of modern quantum electrodynamics. In parallel, the field of condensed matter has flourished through the discovery of various…

Quantum Physics · Physics 2025-10-01 Zixuan Dai , Qing-Dong Jiang

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

Statistical Mechanics · Physics 2015-03-03 G. Bimonte , T. Emig , M. Kardar

We derive an expression for the Casimir force between slabs with arbitrary dielectric properties characterized by their reflection coefficients. The formalism presented here is applicable to media with a local or a non-local dielectric…

Quantum Physics · Physics 2007-05-23 W. L. Mochan , C. Villarreal , R. ESquivel-Sirvent

Based on a generalization of the Lifshiftz theory we calculate Casimir forces involving magnetodielectric and possibly anisotropic metamaterials, focusing on the possibility of repulsive forces. It is found that Casimir repulsion decreases…

Quantum Physics · Physics 2009-11-13 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

Like Casimir's original force between conducting plates in vacuum, Casimir forces are usually attractive. But repulsive Casimir forces can be achieved in special circumstances. These might prove useful in nanotechnology. We give examples of…

High Energy Physics - Theory · Physics 2018-03-09 K. A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , S. A. Ellingsen

It is well known that the Casimir force between two half-spaces is dictated by their electromagnetic properties. In particular, when one of the half-spaces is mainly metallic or dielectric and the other is mainly magnetic, it is possible to…

Quantum Physics · Physics 2015-05-14 F. S. S. Rosa

We demonstrate theoretically that one can obtain repulsive Casimir forces and stable nanolevitations by using chiral metamaterials. By extending the Lifshitz theory to treat chiral metamaterials, we find that a repulsive force and a minimum…

Materials Science · Physics 2010-11-11 R. Zhao , J. Zhou , Th. Koschny , E. N. Economou , C. M. Soukoulis

We analyze the conditions for getting the Casimir repulsion between two nonequal plates. The force between plates with magnetic permeability defined by Drude or Lorentz models is calculated. The short and long distance limits of the force…

Quantum Physics · Physics 2008-11-26 I. G. Pirozhenko , A. Lambrecht

We demonstrate quantum levitation controlled by Casimir forces acting between a polystyrene surface and a Teflon-coated metallic substrate immersed in a mixture of Toluene and magnetite particles. This system experiences…

Quantum Physics · Physics 2026-01-05 Long Ma , Larissa Inácio , Dai-Nam Le , Lilia M. Woods , Mathias Boström

We theoretically predict that the Casimir force in vacuum between two Chern insulator plates can be repulsive (attractive) at long distances whenever the sign of the Chern numbers characterizing the two plates are opposite (equal). A unique…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Pablo Rodriguez-Lopez , Adolfo G. Grushin

In this work we theoretically consider the Casimir force between two periodic arrays of nanowires (both in vacuum, and on a substrate separated by a fluid) at separations comparable to the period. Specifically, we compute the dependence of…

We establish strict upper limits for the Casimir interaction between multilayered structures of arbitrary dielectric or diamagnetic materials. We discuss the appearance of different power laws due to frequency-dependent material constants.…

Quantum Physics · Physics 2009-11-10 Carsten Henkel , Karl Joulain

We use the extended Lifshitz theory to study the behaviors of the Casimir forces between finite-thickness effective medium slabs. We first study the interaction between a semi-infinite Drude metal and a finite-thickness magnetic slab with…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 R. Zhao , Th. Koschny , E. N. Economou , C. M. Soukoulis

Casimir and Casimir-Polder repulsion have been known for more than 50 years. The general "Lifshitz" configuration of parallel semi-infinite dielectric slabs permits repulsion if they are separated by a dielectric fluid that has a value of…

High Energy Physics - Theory · Physics 2018-03-09 Kimball A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , Simen A. Ellingsen

In order to explore repulsive Casimir/van der Waals forces between solid materials with liquid as the intervening medium, we analyze dielectric data for a wide range of materials as for example PTFE, polystyrene, silica and more than twenty…

Materials Science · Physics 2015-05-18 P. J. van Zwol , G. Palasantzas

We investigate the Casimir force between two dissimilar plane mirrors the material properties of which are described by Drude or Lorentz models. We calculate analytically the short and long distance asymptote of the force and relate its…

Quantum Physics · Physics 2008-12-18 A. Lambrecht , I. G. Pirozhenko

Both theoretical interest and practical significance attach to the sign and strength of Casimir forces. A famous, discouraging no-go theorem states that "The Casimir force between two bodies with reflection symmetry is always attractive."…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Qing-Dong Jiang , Frank Wilczek

We study the Casimir force between a perfectly conducting and an infinitely permeable plate with the radiation pressure approach. This method illustrates how a repulsive force arises as a consequence of the redistribution of the…

Quantum Physics · Physics 2007-05-23 V. Hushwater

Weyl semimetals are a class of topological materials that exhibit a bulk Hall effect due to time-reversal symmetry breaking. We show that for the idealized semi-infinite case, the Casimir force between two identical Weyl semimetals is…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Justin H. Wilson , Andrew A. Allocca , Victor M. Galitski
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