From kinetic to collective behavior in thermal transport on semiconductors and semiconductor nanostructures

Abstract

We present a model which deepens into the role that normal scattering has on the thermal conductivity in semiconductor bulk, micro and nanoscale samples. Thermal conductivity as a function of the temperature undergoes a smooth transition from a kinetic to a collective regime that depends on the importance of normal scattering events. We demonstrate that in this transition, the key point to fit experimental data is changing the way to perform the average on the scattering rates. We apply the model to bulk Si with different isotopic compositions obtaining an accurate fit. Then we calculate the thermal conductivity of Si thin films and nanowires by only introducing the effective size as additional parameter. The model provides a better prediction of the thermal conductivity behavior valid for all temperatures and sizes above 30 nm with a single expression. Avoiding the introduction of confinement or quantum effects, the model permits to establish the limit of classical theories in the study of the thermal conductivity in nanoscopic systems.

References in corpus (3)

• Calculation of nanowire thermal conductivity using complete phonon dispersion relations
• Impact of Phonon Surface Roughness Scattering on Thermal Conductivity of Thin Si Nanowires
• Improved Callaway model for Lattice Thermal Conductivity

Cited by in corpus (10)

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• Crossover from ballistic to normal heat transport in the ${\varphi }^4$ lattice: If nonconservation of momentum is the reason, what is the mechanism?
• Ballistic magnon heat conduction and possible Poiseuille flow in the helimagnetic insulator Cu${}_2$OSeO${}_3$
• Phonon hydrodynamics in crystalline materials
• Thermal conductivity of group-IV Semiconductors from a Kinetic-Collective Model
• Hydrodynamic heat transport regime in bismuth: a theoretical viewpoint
• Thermal transport and thermoelectric properties of transition metal dichalcogenides Mo$X_2$ from first-principles calculation