Phonon transport in a one-dimensional harmonic chain with long-range interaction and mass disorder

TL;DR

This paper investigates how long-range interatomic interactions and mass disorder influence phonon transport in a large one-dimensional harmonic chain, revealing that long-range interactions can enhance heat conductance by affecting phonon transmission.

Contribution

It introduces a detailed analysis of long-range interactions combined with mass disorder effects on phonon transport in a large 1D chain, highlighting their impact on heat conduction.

Findings

Long-range interactions suppress low-frequency phonon transmission.

They enhance high-frequency phonon transmission by reducing localization.

Heat conductance increases at high temperatures or large sizes due to these effects.

Abstract

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.