Universality of phonon transport in surface-roughness dominated nanowires
Disordered Systems and Neural Networks
2018-05-02 v1 Mesoscale and Nanoscale Physics
Abstract
We analyze, both theoretically and numerically, the temperature dependent thermal conductivity \k{appa} of two-dimensional nanowires with surface roughness. Although each sample is characterized by three independent parameters - the diameter (width) of the wire, the correlation length and strength of the surface corrugation - our theory predicts that there exists a universal regime where \k{appa} is a function of a single combination of all three model parameters. Numerical simulations of propagation of acoustic phonons across thin wires confirm this universality and predict a d 1/2 dependence of \k{appa} on the diameter d.
Keywords
Cite
@article{arxiv.1802.03281,
title = {Universality of phonon transport in surface-roughness dominated nanowires},
author = {P. Markos and K. A. Muttalib},
journal= {arXiv preprint arXiv:1802.03281},
year = {2018}
}