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- W1985146522 abstract "The effect of intervalley transitions on the indirect exchange interaction in magnetic semiconductors is considered. Using second-order perturbation theory, we derive an expression for the spin-spin coupling energy in terms of the susceptibility $ensuremath{chi}({mathbf{R}}_{12})$ for one valley. When the spins are located on lattice sites and a local $sensuremath{-}f$ exchange interaction is used, the coupling energy reduces to a particularly simple form. Calculations are based on a two-valley model, for simplicity. The resulting coupling is used to study the ferromagnetic spin wave spectrum for a lattice of spins. The latter quantity is shown to be especially sensitive to the ratio of the Fermi wave number to the separation of valley minima." @default.
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- W1985146522 date "1968-06-15" @default.
- W1985146522 modified "2023-09-25" @default.
- W1985146522 title "Indirect Exchange in Semiconductors" @default.
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- W1985146522 doi "https://doi.org/10.1103/physrev.170.733" @default.
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