摘要
It was recently found that the anharmonic phonon–phonon scattering in tungsten is extremely weak at high frequencies,leading to a predominance of electron-phonon scattering and consequently anomalous phonon transport behaviors.In this work,we calculate the phonon linewidths of W along high-symmetry directions from first principles.We find that the weak phonon–phonon scattering can be traced back to two factors.The first is the triple degeneracy of the phonon branches at the P and H points,a universal property of elemental body-centered-cubic(bcc)structures.The second is a relatively isotropic character of the phonon dispersions.When both are met,phonon–phonon scattering rates must vanish at the P and H points.The weak phonon–phonon scattering feature is also applicable to Mo and Cr.However,in other elemental bcc substances like Na,the isotropy condition is violated due to the unusually soft character of the lower transverse acoustic phonon branch along the Γ-N direction,opening emission channels and leading to much stronger phonon–phonon scattering.We also look into the distributions of electron meanfree paths(MFPs)at room temperature in tungsten,which can help engineer the resistivity of nanostructured W for applications such as interconnects.
基金
We acknowledge support from the Natural Science Foundation of China(NSFC)under Grants No.11704258 and No.11574198
the Shenzhen Science,Technology and Innovation Commission under Grant No.JCYJ20170412105922384
Y.C.also acknowledges the support from the China Postdoctoral Science Foundation under Grant No.2017M622745
J.M.also acknowledges support from NSFC under Grant No.11804229.