Experimental metrology to obtain thermal phonon transmission coefficients at solid interfaces

Hua, Chengyun; Chen, Xiangwen; Ravichandran, Navaneetha K.; Minnich, Austin J.

doi:10.1103/physrevb.95.205423

Cited by 94 publications

(117 citation statements)

References 79 publications

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“…|, versus temporal frequency η and in-plane spatial frequency ξ x for (a) the thermalized heating spectral profile, Q 0ω = C ω /τ ω , and (b) the spectral profile given in Ref. [27]. Lighter colors indicate larger deviations between the BTE and Fourier calculations.…”

Section: Resultsmentioning

confidence: 99%

Heat dissipation in the quasiballistic regime studied using the Boltzmann equation in the spatial frequency domain

Hua

Minnich

2018

Phys. Rev. B

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Quasiballistic heat conduction, in which some phonons propagate ballistically over a thermal gradient, has recently become of intense interest. Most works report that the thermal resistance associated with nanoscale heat sources is far larger than predicted by Fourier's law; however, recent experiments show that in certain cases the difference is negligible despite the heaters being far smaller than phonon mean-free paths. In this work, we examine how thermal resistance depends on the heater geometry using analytical solutions of the Boltzmann equation. We show that the spatial frequencies of the heater pattern play the key role in setting the thermal resistance rather than any single geometric parameter, and that for many geometries the thermal resistance in the quasiballistic regime is no different than the Fourier prediction. We also demonstrate that the spectral distribution of the heat source also plays a major role in the resulting transport, unlike in the diffusion regime. Our work provides an intuitive link between the heater geometry, spectral heating distribution, and the effective thermal resistance in the quasiballistic regime, a finding that could impact strategies for thermal management in electronics and other applications.

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Section: Resultsmentioning

confidence: 99%

Heat dissipation in the quasiballistic regime studied using the Boltzmann equation in the spatial frequency domain

Hua

Minnich

2018

Phys. Rev. B

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“…We further set e Al-Si ¼ e Al-O ¼ 100 meV such that the thermal conductance at the SijAl and Sija-SiO 2 jAl interfaces obtained from MD simulations is consistent with the experimental data. 37 The cutoff distance for all LJ interactions is 11 Å in the MD simulation.…”

Section: Simulation Methodsmentioning

confidence: 99%

“…Recent experimental work 37 on phonon transport across SijaSiO 2 jAl interfaces indicates that direct electron-phonon coupling has negligible effects on interfacial phonon transport. Hence, the direct electron-phonon coupling at the h-BNjAl and a-SiO 2 jAl interfaces is neglected in WP simulations.…”

Section: B the MD Phonon Wave-packed (Wp) Simulationsmentioning

confidence: 99%

Phonon interference in crystalline and amorphous confined nanoscopic films

Liang

Wilson

Keblinski

2017

Journal of Applied Physics

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Using molecular dynamics phonon wave packet simulations, we study phonon transmission across hexagonal (h)-BN and amorphous silica (a-SiO 2 ) nanoscopic thin films sandwiched by two crystalline leads. Due to the phonon interference effect, the frequency-dependent phonon transmission coefficient in the case of the crystalline film (Sijh-BNjAl heterostructure) exhibits a strongly oscillatory behavior. In the case of the amorphous film (Sija-SiO 2 jAl and Sija-SiO 2 jSi heterostructures), in spite of structural disorder, the phonon transmission coefficient also exhibits oscillatory behavior at low frequencies (up to $1.2 THz), with a period of oscillation consistent with the prediction from the two-beam interference equation. Above 1.2 THz, however, the phonon interference effect is greatly weakened by the diffuse scattering of higher-frequency phonons within an a-SiO 2 thin film and at the two interfaces confining the a-SiO 2 thin film. Published by AIP Publishing.

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“…Notable exceptions may be found where phonon reflection and internal reflection have been evidenced experimentally 4,5 , but these manifestations concern sub-Thz frequencies, a situation where continnum acoustics and thus Snell-Descartes laws should be at work. In contrast to phonon scattering, reflection and transmission coefficients for photon interfacial scattering are well described by Fresnel coefficients 6 . Even the involved problem of the intensity scattered by a rough interface has been adressed theoretically by Maradudin and coworkers 3 .…”

Section: Introductionmentioning

confidence: 99%

Critical angle for interfacial phonon scattering: Results from ab initio lattice dynamics calculations

Alkurdi

Pailhés

Mérabia

2017

Applied Physics Letters

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Thermal boundary resistance is a critical quantity that controls heat transfer at the nanoscale, and which is primarily related to interfacial phonon scattering. Here, we combine lattice dynamics calculations and inputs from first principles ab initio simulations to predict phonon transmission at Si/Ge interface as a function of both phonon frequency and phonon wavevector. This technique allows us to determine the overall thermal transmission coefficient as a function of the phonon scattering direction and frequency. Our results show that, the thermal energy transmission is highly anisotropic while thermal energy reflection is almost isotropic. In addition, we found the existence of a global critical angle of transmission beyond which almost no thermal energy is transmitted. This critical angle around 50• . is found to be almost independent on the interaction range between Si and Ge, the interfacial bonding strength, and the temperature above 30 K. We interpret these results by carrying out a spectral and angular analysis of phonon transmission coefficient and differential thermal boundary conductance.

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Experimental metrology to obtain thermal phonon transmission coefficients at solid interfaces

Cited by 94 publications

References 79 publications

Heat dissipation in the quasiballistic regime studied using the Boltzmann equation in the spatial frequency domain

Heat dissipation in the quasiballistic regime studied using the Boltzmann equation in the spatial frequency domain

Phonon interference in crystalline and amorphous confined nanoscopic films

Critical angle for interfacial phonon scattering: Results from ab initio lattice dynamics calculations

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