Abstract
The Casimir force exerted on a gold dipolar nanoparticle by a finite-thickness slab of the natural hyperbolic material namely, the ortorhombic crystalline modification of boron nitride, is investigated. The main contribution to the force originates from the TM-polarized waves, for frequencies at which the parallel and perpendicular components of the dielectric tensor reach minimal values. These frequencies differ from those corresponding to the Lorentzian resonances for the permittivity components. We show that when the slab is made of an isotropic epsilon-near-zero absorbing material the force on the nanoparticle is larger than that induced by a hyperbolic material, for similar values of the characteristic parameters. This fact makes these materials optimal in the use of Casimir’s forces for nanotechnology applications.
Highlights
The Casimir force exerted on a gold dipolar nanoparticle by a finite-thickness slab of the natural hyperbolic material namely, the ortorhombic crystalline modification of boron nitride, is investigated
The presence of electromagnetic fluctuations is the origin of important phenomena such as thermal emission, radiative heat transfer, van der Waals interactions, Casimir effect and van der Waals friction between bodies[1] which play an important role in the behavior of matter at very short distances with important implications in nanoscience and nanotechnology
In the figure, we compare the Casimir forces exerted by the slab of hyperbolic material to the ones obtained from a hypothetical isotropic material with permittivities ǫ = ǫ and ǫ = ǫ⊥
Summary
The Casimir force exerted on a gold dipolar nanoparticle by a finite-thickness slab of the natural hyperbolic material namely, the ortorhombic crystalline modification of boron nitride, is investigated. Casimir forces (attractive and repulsive) can act at large distances[15,16] due to the fact that HMMs may support propagating rather than evanescent waves at large values of the transverse component of the wave vector.
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