A Bond-order Theory on the Phonon Scattering by Vacancies in Two-dimensional Materials

• Published in: Scientific reports Vol. 4; no. 1; p. 5085
• Main Authors: Xie, Guofeng, Shen, Yulu, Wei, Xiaolin, Yang, Liwen, Xiao, Huaping, Zhong, Jianxin, Zhang, Gang
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 28-05-2014; Nature Publishing Group
• Subjects: 119/118; 639/766/1130/2798; 639/766/1130/2799; Crystals; Heat conductivity; Humanities and Social Sciences; multidisciplinary; Science; Thermal conductivity
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/srep05085

We theoretically investigate the phonon scattering by vacancies, including the impacts of missing mass and linkages (
) and the variation of the force constant of bonds associated with vacancies (
) by the bond-order-length-strength correlation mechanism. We find that in bulk crystals, the phonon scattering rate due to change of force constant
is about three orders of magnitude lower than that due to missing mass and linkages
. In contrast to the negligible
in bulk materials,
in two-dimensional materials can be 3–10 folds larger than
. Incorporating this phonon scattering mechanism to the Boltzmann transport equation derives that the thermal conductivity of vacancy defective graphene is severely reduced even for very low vacancy density. High-frequency phonon contribution to thermal conductivity reduces substantially. Our findings are helpful not only to understand the severe suppression of thermal conductivity by vacancies, but also to manipulate thermal conductivity in two-dimensional materials by phononic engineering.