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- W2088702960 abstract "An envelope-function formalism analogous to the effective-mass theory for electrons is developed to treat long-wavelength phonons in semiconductor heterostructures. It consists of a set of differential equations for phonon envelope functions and their boundary conditions at interfaces. For acoustic phonons the present theory becomes equivalent to the elasticity theory. For optical phonons there are two cases to which our formalism is applicable. In the first case, in which the bulk optical bands of constituent materials overlap considerably, as in InAs/GaSb and GaAs/Ge, the boundary conditions are written in the form of linear relations among envelopes and their derivatives on both sides of the interface. The boundary conditions strongly depend not only on the materials but also on the atomic configuration at interfaces. In the second case, where there is a large gap between the bulk optical branches, as in GaAs/AlAs, the boundary conditions that the envelopes should vanish at interfaces are generally appropriate." @default.
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- W2088702960 date "1989-08-15" @default.
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- W2088702960 title "Envelope-function formalism for phonons in heterostructures" @default.
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- W2088702960 doi "https://doi.org/10.1103/physrevb.40.2914" @default.
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