6533b7d0fe1ef96bd125ae04

RESEARCH PRODUCT

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

F. X. AlvarezC. De TomasAitor F. LopeandíaAndrés Cantarero

subject

PhysicsCollective behaviorCondensed Matter - Mesoscale and Nanoscale PhysicsCondensed matter physicsScatteringbusiness.industryNanowireFOS: Physical sciencesGeneral Physics and AstronomyKinetic energySemiconductorThermal conductivityMesoscale and Nanoscale Physics (cond-mat.mes-hall)Thin filmbusinessNanoscopic scale

description

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.

https://doi.org/10.1063/1.4871672