Phonon heat conduction in layered anisotropic crystals

Abstract

The thermal properties of anisotropic crystals are of both fundamental and practical interest, but transport phenomena in anisotropic materials such as graphite remain poorly understood because solutions of the Boltzmann equation often assume isotropy. Here, we extend an analytical solution of the Boltzmann equation to highly anisotropic solids and examine its predictions for graphite. We show that the phonon mean free paths in the cross-plane direction can be comparable to those in the in-plane direction despite the low cross-plane thermal conductivity, which instead arises primarily from the differences in group velocities and phonon frequencies supported along each direction. Additionally, we demonstrate a method to reconstruct the anisotropic mean free path spectrum of crystals with arbitrary dispersion relations without any prior knowledge of their harmonic or anharmonic properties using observations of quasiballistic heat conduction.

References in corpus (7)

• Dimensional crossover of thermal transport in few-layer graphene materials
• Length-dependent thermal conductivity in suspended single-layer graphene
• Graphene-Graphite Quilts for Thermal Management of High-Power GaN Transistors
• Direct Measurement of Room Temperature Non-diffusive Thermal Transport Over Micron Distances in a Silicon Membrane
• Ballistic to diffusive crossover of heat flow in graphene ribbons
• Anharmonic properties from a generalized third order ab~initio approach: theory and applications to graphite and graphene
• Superdiffusive heat conduction in semiconductor alloys -- I. Theoretical foundations

Cited by in corpus (8)

• Universal Fragment Descriptors for Predicting Electronic Properties of Inorganic Crystals
• Temperature dependence of anisotropic thermal conductivity tensor of bulk black phosphorus
• Temperature Dependent Mean Free Path Spectra of Thermal Phonons Along the c-axis of Graphite
• Origin of high thermal conductivity in disentangled ultra-high molecular weight polyethylene films: ballistic phonons within enlarged crystals
• Multidimensional quasiballistic thermal transport in transient grating spectroscopy
• Anisotropic model with truncated linear dispersion for lattice and interfacial thermal transport in layered materials
• A perspective on inelastic light scattering spectroscopy for probing transport of collective acoustic excitations
• Machine learning, phase stability, and disorder with the Automatic Flow Framework for Materials Discovery