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- W1969676893 abstract "We calculate the anharmonic scattering rates of low-frequency longitudinal (L) acoustic phonons with thermally excited phonons via the Herring process $mathrm{L}+mathrm{ST}ensuremath{rightarrow}mathrm{FT}$ (with ST and FT the slow-transverse and fast-transverse phonons, respectively) in a tetragonal ${mathrm{TeO}}_{2}$ crystal. For temperatures well below the Debye temperature, we find a scattering rate $ensuremath{Gamma}=A{ensuremath{omega}}^{2}{T}^{3}$ 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 ${10}^{ensuremath{-}22}{mathrm{s}mathrm{}mathrm{K}}^{ensuremath{-}3}.$ 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." @default.
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- W1969676893 date "2003-07-11" @default.
- W1969676893 modified "2023-09-26" @default.
- W1969676893 title "Anharmonic scattering of longitudinal acoustic phonons: Herring processes in tetragonalTeO2crystals" @default.
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- W1969676893 doi "https://doi.org/10.1103/physrevb.68.014302" @default.
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