Phonon transport in a one-dimensional harmonic chain with long-range   interaction and mass disorder
  Atomic mass and interatomic interaction are the two key quantities that significantly affect the heat conduction carried by phonons. Here, we study the effects of long-range (LR) interatomic interaction and mass-disorder on the phonon transport in a one-dimensional harmonic chain withup to 10^5 atoms. We find that while LR interaction reduces the transmission of low frequency phonons, it enhances the transmission of high frequency phonons by suppressing the localization effects caused by mass disorder. Therefore, long-range interaction is able to boost heat conductance in the high temperature regime or in the large size regime, where the high frequency modes are important. 
Hangbo Zhou, Gang Zhang, Jian-Sheng Wang, and Yong-Wei Zhang
cond-mat.mes-hall