Thermal conductivity of group-IV Semiconductors from a Kinetic-Collective Model

Abstract

The thermal conductivity of several diamond-like materials is calculated from a kinetic-collective model. From this approach, a thermal conductivity expression is obtained that includes a transition from a kinetic (free) to a collective (hydrodynamic) behavior of the phonon field. The expression contains only three parameters. Once fitted to natural occurring silicon, the same parameters for the other materials are directly calculated from theoretical relations. The results are in good agreement with experimental data.

References in corpus (5)

• Heat transport in silicon from first principles calculations
• Calculation of nanowire thermal conductivity using complete phonon dispersion relations
• Ab initio variational approach for evaluating lattice thermal conductivity
• Improved Callaway model for Lattice Thermal Conductivity
• From kinetic to collective behavior in thermal transport on semiconductors and semiconductor nanostructures

Cited by in corpus (6)

• Optical properties of an ensemble of G-centers in silicon
• Guyer-Krumhansl-type heat conduction at room temperature
• First principles Kinetic-Collective thermal conductivity of semiconductors
• Crossover from ballistic to normal heat transport in the ${\varphi }^4$ lattice: If nonconservation of momentum is the reason, what is the mechanism?
• Hydrodynamic heat transport regime in bismuth: a theoretical viewpoint
• Theory of Transient Heat Conduction