Casimir interaction of two dielectric half spaces with Chern-Simons boundary layers

Marachevsky, Valery N.

doi:10.1103/physrevb.99.075420

Cited by 14 publications

(23 citation statements)

References 60 publications

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“…A more realistic model, taking frequency dispersion into account (such as that described in Ref. [53]), leads toᾱ(iξc/d) decaying as (d/(ξc)) 2 as d → 0; thus, both diagonal (dielectric permittivity) and off-diagonal (axion) contributions to the reflectivity matrix need to be taken into account [24] for a proper determination of the Casimir-Lifshitz force. The vanishing of the off-diagonal contribution can cause the force to revert to attraction at very short separations.…”

Section: Casimir Force Behaviormentioning

confidence: 99%

“…The presence of the Hall conductivity causes the polarization modes to mix at the dielectric interfaces; consequently, in addition to r ss and r pp , there are also mixed polarization reflection coefficients r ps and r sp . For this scenario, instead of Equation (1), the Casimir-Lifshitz energy per unit area is now given by the following [4,5,[21][22][23][24]:…”

Section: Introductionmentioning

confidence: 99%

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The Casimir Effect in Topological Matter

2021

Universe

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We give an overview of the work done during the past ten years on the Casimir interaction in electronic topological materials, our focus being solids, which possess surface or bulk electronic band structures with nontrivial topologies, which can be evinced through optical properties that are characterizable in terms of nonzero topological invariants. The examples we review are three-dimensional magnetic topological insulators, two-dimensional Chern insulators, graphene monolayers exhibiting the relativistic quantum Hall effect, and time reversal symmetry-broken Weyl semimetals, which are fascinating systems in the context of Casimir physics. Firstly, this is for the reason that they possess electromagnetic properties characterizable by axial vectors (because of time reversal symmetry breaking), and, depending on the mutual orientation of a pair of such axial vectors, two systems can experience a repulsive Casimir–Lifshitz force, even though they may be dielectrically identical. Secondly, the repulsion thus generated is potentially robust against weak disorder, as such repulsion is associated with the Hall conductivity that is topologically protected in the zero-frequency limit. Finally, the far-field low-temperature behavior of the Casimir force of such systems can provide signatures of topological quantization.

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Section: Casimir Force Behaviormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Casimir Effect in Topological Matter

2021

Universe

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“…8), which triggered extensive studies in this direction. [9][10][11][12][13][14][15] Most of the papers mentioned in the previous paragraph considered the Casimir interaction of two bodies having a dielectric bulk and a Hall conductivity (CS term) on the surface. The CS term on the surface of topological materials is induced through quantum effects of specific states localized near the surface, as we sketched in the previous section.…”

Section: Casimir Interaction Of Chern-simons Surfacesmentioning

confidence: 99%

On the (im)possibility of Casimir repulsion between Chern-Simons surfaces

Vassilevich

2020

Mod. Phys. Lett. A

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“…Lately, these phenomena have been studied not only from the field-theoretical viewpoint, but also from a materials perspective [6]. As new materials with unique properties were discovered, their implications for these forces have been studied [7][8][9][10][11][12], with the aim of enhancing them, reducing them, or using them to probe intrinsic properties of the materials under consideration.…”

Section: Introductionmentioning

confidence: 99%

Casimir force between Weyl semimetals in a chiral medium

2020

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We study the Casimir effect in a system composed of two Weyl semimetals (WSMs) separated by a gap filled with a chiral medium. We calculate the optical response of the material to chiral photons in order to calculate the Casimir force. We find that if the medium between the two WSMs is a Faraday material, a repulsive Casimir force can be obtained. The magnitude of this repulsive force is found to be greatly enhanced at distances of a few microns, when experimentally accessible parameters are used. Moreover, in the system under consideration various parameters can be modified. Some of them are intrinsic to the materials employed (the absolute value of the Hall conductivity of the WSM, the Verdet constant of the Faraday material), while some of them can be manipulated externally even for a fixed sample, such as the external magnetic field and the orientation of the plates which determines the sign of their conductivity. Suitable combinations of these parameters can be used to switch from attraction to repulsion, and to place the trapping distance, in which no force acts on the plates, at any desired distance between them.

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Casimir interaction of two dielectric half spaces with Chern-Simons boundary layers

Cited by 14 publications

References 60 publications

The Casimir Effect in Topological Matter

The Casimir Effect in Topological Matter

On the (im)possibility of Casimir repulsion between Chern-Simons surfaces

Casimir force between Weyl semimetals in a chiral medium

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