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5.6 Intervalley Scattering

Formally, the intervalley scattering is treated in the same way as the scattering due to optical phonons with a deformation potential. It has been shown that the phonon assisted intervalley scattering can be modeled by means of an intervalley deformation potential  [88].

1 Zη′D2ηη′m η′′⋆′( 1 1 ) ′ ′ ′ ν′λ′η′-= ---------νλ- Nηη′ +--∓ -- Iννλληη′Θ(E ηνλ(k∥)- E ην′λ′ ± E ηη′ + Δλλ′) τνλη(k∥) 2ℏρE ηη′ 2 2
(5.30)

where η and η′ denote the initial and the final valley index, respectively. Dηη′ is the intervalley deformation potential constant, ρ is the mass density, Eηη′ is the intervalley phonon energy, and Zη′ denotes the degeneracy of the final valley. The overlap integral is determined by

∫ Iν′λ′η′= |Φη (z)|2|Φη′′ ′(z)|2dz νλη νλ ν λ
(5.31)

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