2024-03-29T12:55:27Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/59162022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Anharmonic scattering of longitudinal acoustic phonons : Herring processes in tetragonal TeO2 crystalsTamura, S.Sangu, A.Maris, H. J.424We calculate the anharmonic scattering rates of low-frequency longitudinal (L) acoustic phonons with thermally excited phonons via the Herring process L + ST→FT (with ST and FT the slow-transverse and fast-transverse phonons, respectively) in a tetragonal TeO2 crystal. For temperatures well below the Debye temperature, we find a scattering rate = A2T3 as predicted by Herring. An analytical expression is derived for the variation of the coefficient with propagation direction. A typical value of A is of the order of 10–22 s K–3. For propagation along the fourfold axis, i.e., the [001] direction, however, A = 0, indicating that in this direction L phonons are stable against the Herring processes. This is in contradiction to the recent experimental result reported by Damen et al. [Phys. Rev. B 59, 349 (1999)]. We show that the vanishing of the scattering rate in the [001] direction can be understood in terms of the physics of the Herring process.American Physical SocietyJournal Articleapplication/pdfhttp://hdl.handle.net/2115/5916https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/5916/1/PRB68-1.pdf0163-1829PHYSICAL REVIEW B680143022003enginfo:doi/10.1103/PhysRevB.68.014302Copyright © 2003 American Physical Societypublisher