2015
DOI: 10.1063/1.4919661
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An ab initio study of multiple phonon scattering resonances in silicon germanium alloys

Abstract: Abstract:We have computed phonon scattering rates and density of states in silicon germanium alloys using Green's function calculations and density functional theory.This method contrasts with the virtual crystal approximation (VCA) used in conjunction with Fermi's golden rule, which cannot capture resonance states occurring through the interaction of substitutional impurities with the host lattice. These resonances are demonstrated by density of states and scattering rate calculations in the dilute limit and … Show more

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Cited by 10 publications
(12 citation statements)
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“…It is questionable when the wavelength of phonons is comparable to the characteristic length of the disorder. It has been shown by using a full-order scattering theory that, the VCA fails for high frequency phonons and predicts incorrect phonon density of state [57]. However, such high frequency phonons are shown to have large scattering rates [57], which make VCA still a good approximation in evaluating the heat transport of alloys.…”
Section: Impurity Scatteringmentioning
confidence: 99%
“…It is questionable when the wavelength of phonons is comparable to the characteristic length of the disorder. It has been shown by using a full-order scattering theory that, the VCA fails for high frequency phonons and predicts incorrect phonon density of state [57]. However, such high frequency phonons are shown to have large scattering rates [57], which make VCA still a good approximation in evaluating the heat transport of alloys.…”
Section: Impurity Scatteringmentioning
confidence: 99%
“…It is expected that these modes do not significantly contribute to thermal conductivity, as their group velocities are small and their lifetimes have been reduced by mass disorder scattering. The virtual crystal approximation is expected to break down when the mass disorder takes on a correlation length on the order of the probing length scale [23].…”
Section: Theory a First Principle Calculationsmentioning
confidence: 99%
“…"# and ξ is the strong departure from Rayleigh behavior at 1.5 THz when both values suddenly drop two orders of magnitude. Since 1.5 THz corresponds to the fifth band edge in the zone-folded Brillouin zone representation, the low group velocities leads to resonant scattering [8,31,32]. Beyond 1.5 THz, !…”
mentioning
confidence: 99%