Energy transport of surface phonon polaritons propagating along a chain of spheroidal nanoparticles

Ordoñez-Miranda, José; Tranchant, Laurent; Gluchko, Sergei; Volz, Sébastian

doi:10.1103/physrevb.92.115409

Cited by 41 publications

(42 citation statements)

References 46 publications

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“…The term in parenthesis on the left-hand side is identical to the inverse of the dressed polarizability (given by Equations (5) and (6) for spherical volumes) [11]:…”

Section: B Expressions For Total Dipole Moments and Electric Fieldsmentioning

confidence: 99%

Thermal radiation in systems of many dipoles

et al. 2019

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Systems of many nanoparticles or volume-discretized bodies exhibit collective radiative properties that could be used for enhanced, guided, or tunable thermal radiation. These are commonly treated as assemblies of point dipoles with interactions described by Maxwell's equations and thermal fluctuations correlated by the fluctuation-dissipation theorem. Here, we unify different theoretical descriptions of these systems and provide a complete derivation of many-dipole thermal radiation, showing that the correct use of the fluctuation-dissipation theorem depends on the definitions of fluctuating and induced dipole moments. We formulate a method to calculate the diffusive radiative thermal conductivity of arbitrary collections of nanoparticles; this allows the comparison of thermal radiation to other heat transfer modes and across different material systems. We calculate the radiative thermal conductivity of ordered and disordered arrays of SiC and SiO2 nanoparticles and show that thermal radiation can significantly contribute to thermal transport in these systems. We validate our calculations by comparison to the exact solution for a one-dimensional particle chain, and we demonstrate that the dipolar approximation significantly underpredicts the exact results at separation distances less than the particle radius.

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“…The term in parenthesis on the left-hand side is identical to the inverse of the dressed polarizability (given by Equations (5) and (6) for spherical volumes) [11]:…”

Section: B Expressions For Total Dipole Moments and Electric Fieldsmentioning

confidence: 99%

Thermal radiation in systems of many dipoles

et al. 2019

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“…However, for the sake of simplicity and to maintain our analytical approach, we are going to consider only the dominant dipole interactions in this work. Taking into account that the higherorder multipole interactions can enhance the polariton thermal conductance rendered by the dipole interactions [26,27], our results for nanorods in contact will represent the minimum (lower bound) for the energy transport of SPhPs. To quantify the SPhP energy, we place the proposed crystal in thermal contact with two thermal baths set at the temperatures T 1 and T 2 (T 1 > T 2 ), as shown in Figure 1.…”

Section: Sphp Energy Transportmentioning

confidence: 84%

“…At low frequencies, the SPhP wave vector β R tends to be parallel to the light line (β R = k 2 ) and therefore SPhPs propagate pretty much like photons. As the frequency increases, β R takes larger values and separates from the light line, which enhances the confinement of the SPhPs to the nanorod's surface [27] and their energy transport, as established by Equation 2. The major contribution to the SPhP thermal conductance arises hence from the high-frequency regime.…”

Section: Resultsmentioning

confidence: 99%

“…Equation 1 shows that G increases with the SPhP wave vector β R , which depends on the permittivity and size of the nanorods. The comparison of the thermal conductance in Equation 1 with that for a linear chain of nanoparticles [26,27], indicates that the 3D effect on G appears through the nondimensional factor 2 /4, R abβ which is associated with the radial confinement of SPhPs to the nanorod's surface [27]. Thus, Equation 1 physically establishes that the stronger the confinement, the higher the energy transport of SPhPs.…”

Section: Sphp Energy Transportmentioning

confidence: 95%

“…Furthermore, the length of the nanorods is considered to be much larger than their radius, and hence the SPhP heat transport along the vertical direction is small in comparison with the one along the z axis. By solving the Maxwell equations under the proper boundary conditions required for the existence of SPhPs [1,5], the following dispersion relation for the complex wave vector β is obtained [27,28]:…”

Section: Sphp Energy Transportmentioning

confidence: 99%

See 2 more Smart Citations

Thermal Conductance of a Surface Phonon-Polariton Crystal Made up of Polar Nanorods

Ordoñez-Miranda

Joulain

Ezzahri

2017

Zeitschrift Für Naturforschung A

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Abstract:We demonstrate that the energy transport of surface phonon-polaritons can be large enough to be observable in a crystal made up of a three-dimensional assembly of nanorods of silicon carbide. The ultralow phonon thermal conductivity of this nanostructure along with its high surface area-to-volume ratio allows the predominance of the polariton energy over that generated by phonons. The dispersion relation, propagation length, and thermal conductance of polaritons are numerically determined as functions of the radius and temperature of the nanorods. It is shown that the thermal conductance of a crystal with nanorods at 500 K and diameter (length) of 200 nm (20 μm) is 0.55 nW · K − 1 , which is comparable to the quantum of thermal conductance of polar nanowires.

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