Generalized Debye-Peierls/Allen-Feldman model for the lattice thermal conductivity of low-dimensional and disordered materials
Open Access
- 11 April 2016
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 93 (15), 155414
- https://doi.org/10.1103/physrevb.93.155414
Abstract
We present a generalized model to describe the lattice thermal conductivity of low-dimensional (low-D) and disordered systems. The model is a straightforward generalization of the Debye-Peierls and Allen-Feldman schemes to arbitrary dimensions, accounting for low-D effects such as differences in dispersion, density of states, and scattering. Similar in spirit to the Allen-Feldman approach, heat carriers are categorized according to their transporting capacity as propagons, diffusons, and locons. The results of the generalized model are compared to experimental results when available, and equilibrium molecular dynamics simulations otherwise. The results are in very good agreement with our analysis of phonon localization in disordered low-D systems, such as amorphous graphene and glassy diamond nanothreads. Several unique aspects of thermal transport in low-D and disordered systems, such as milder suppression of thermal conductivity and negligible diffuson contributions, are captured by the approach.Keywords
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Funding Information
- National Science Foundation (CBET-1250192, OCI-0725070, ACI-1238993, DMR-140007, ACI-1053575)
This publication has 51 references indexed in Scilit:
- Thermal conduction phenomena in carbon nanotubes and related nanostructured materialsReviews of Modern Physics, 2013
- A physics-based flexural phonon-dependent thermal conductivity model for single layer grapheneSemiconductor Science and Technology, 2012
- Thermal and Thermoelectric Transport in Nanostructures and Low-Dimensional SystemsNanoscale and Microscale Thermophysical Engineering, 2012
- Influence of Polymeric Residue on the Thermal Conductivity of Suspended Bilayer GrapheneNano Letters, 2011
- Ballistic Thermal Conductance of Graphene RibbonsNano Letters, 2010
- Flexural Phonons in Free-Standing GraphenePhysical Review Letters, 2008
- Superior Thermal Conductivity of Single-Layer GrapheneNano Letters, 2008
- Raman Spectrum of Graphene and Graphene LayersPhysical Review Letters, 2006
- Thermal Conductance of an Individual Single-Wall Carbon Nanotube above Room TemperatureNano Letters, 2005
- Nanoscale thermal transportJournal of Applied Physics, 2003