Maxwell eigenmode approach to the Casimir-Lifshitz torque

Broer, Wijnand; Liow, John Yuh Han; Lu, Bing-Sui

doi:10.1103/physreva.100.012514

Cited by 6 publications

(5 citation statements)

References 42 publications

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“…In the uniaxial limit, this theory yields the exact non-retarded result of Barash while for the retarded case, the results were found to match numerically for reasonable values of the perturbative parameter 4 . Very recently, Broer et al reported an independent derivation via Maxwell eigenmode approach confirming Barash's results 5 .…”

Section: Introductionmentioning

confidence: 53%

Effect of excess charge carriers and fluid medium on the magnitude and sign of the Casimir-Lifshitz torque

et al. 2019

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Last year, we reported a perturbative theory of the Casimir-Lifshitz torque between planar biaxially anisotropic materials in the retarded limit [Phys. Rev. Lett. 120, 131601 (2018)], which is applied here to study the change of sign and magnitude of the torque with separation distance in biaxial black phosphorus having excess charge carriers. The study is carried out both in vacuum as well as in a background fluid medium. The presence of extra charge carriers and that of an intervening fluid medium are both found to promote enhancement of the magnitude of the torque between identical slabs. The degree of enhancement of the magnitude of torque increases not only with an increased carrier concentration but also with separation distance. In the non-identical case when different planes of anisotropic black phosphorus face each other, owing to the non-monotonic characteristic of the sign-reversal effect of the torque, the enhancement by carrier addition and intervening medium also becomes non-monotonic with distance. In the presence of a background medium, the non-monotonic degree of enhancement of the torque is observed even between identical slabs.

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Section: Introductionmentioning

confidence: 53%

Effect of excess charge carriers and fluid medium on the magnitude and sign of the Casimir-Lifshitz torque

et al. 2019

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“…( 12) with Eq. ( 13) restores the known Fresnel reflection matrix [21,24] for a semi-infinite birefringent plate.…”

Section: B Lifshitz Formulamentioning

confidence: 94%

“…We start by formulating Maxwell's equations as an eigenvalue problem, as we have done before for the case of single interfaces [24]. Assume that the electromagnetic (EM) wave propagates within one of the anisotropic slabs labeled as j whose anisotropic plane is facing the surface, which is defined as the x-y-plane in the laboratory coordinate system.…”

Section: A Transfer Matrixmentioning

confidence: 99%

“…It is especially suited for describing electromagnetic field propagation through anisotropic materials [19][20][21], and can be used to derive the Casimir torque between semi-infinite birefringent plates [22,23]. The results of the transfer matrix methodology were later shown to be consistent with the direct method of Barash [24]. Some recent examples of the application of this method in the context of Casimir physics include biaxial materials, [25] Weyl semi-metals, [26,27] and magnetic ferrite slabs [28].…”

Section: Introductionmentioning

confidence: 99%

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Qualitative chirality effects on the Casimir-Lifshitz torque with liquid crystals

Broer,

Lu,

Podgornik

2021

Preprint

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We model a cholesteric liquid crystal as a planar uniaxial multilayer system, where the orientation of each layer differs slightly from that of the adjacent one. This allows us to analytically simplify the otherwise acutely complicated calculation of the Casimir-Lifshitz torque. Numerical results differ appreciably from the case of nematic liquid crystals, which can be treated like bloc birefringent media. In particular, we find that the torque deviates considerably from its usual sinusoidal behavior as a function of the misalignment angle. In the case of a birefringent crystal faced with a cholesteric liquid one, the Casimir-Lifshitz torque decreases more slowly as a function of distance than in the nematic case. In the case of two cholesteric liquid crystals, either in the homochiral or in the heterochiral configuration, the angular dependence changes qualitatively as a function of distance. In all considered cases, finite pitch length effects are most pronounced at distances of about 10 nm.

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“…[51] that the Casimir repulsion can be enhanced by increasing the dielectric permittivity along the normal direction and/or reducing the dielectric permittivity along the transverse principal directions. For the configuration in which the optic axes are oriented perpendicular to the surface normal, two possibilities emerge: firstly, it becomes possible to tune the force between attraction and repulsion by changing the misalignment angle between the optic axes of the slabs; and secondly, a van der Waals torque also appears concurrently with the van der Waals force [57][58][59][60]. Such a torque arises, owing to a dielectric mismatch in the azimuthal direction, in the same way that a force arises due to a dielectric mismatch in the surface normal direction.…”

Section: Van Der Waals Torque Between Birefringent Topological Insulatorsmentioning

confidence: 99%

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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Maxwell eigenmode approach to the Casimir-Lifshitz torque

Cited by 6 publications

References 42 publications

Effect of excess charge carriers and fluid medium on the magnitude and sign of the Casimir-Lifshitz torque

Effect of excess charge carriers and fluid medium on the magnitude and sign of the Casimir-Lifshitz torque

Qualitative chirality effects on the Casimir-Lifshitz torque with liquid crystals

The Casimir Effect in Topological Matter

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