Abstract
A very general theoretical discussion of the values of sp − d exchange constants is given starting from symmetry properties of diluted magnetic semiconductors. Complex structure of the valence band is fully taken into account with interacting heavy and light holes as well as spin–orbit split-off states kept in the consideration. The form of the Hamiltonian is derived and shown to be, in a general case, anisotropic. A series of approximations is made that reduces the Hamiltionian to a simple form introduced in Chap. 1. Specific cases of two-dimensional quantum wells and zero-dimensional spherical quantum dots are considered. Finally, the role of sp − d interaction in spin relaxation processes is discussed.
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Merkulov, I.A., Rodina, A.V. (2010). Exchange Interaction Between Carriers and Magnetic Ions in Quantum Size Heterostructures. In: Gaj, J., Kossut, J. (eds) Introduction to the Physics of Diluted Magnetic Semiconductors. Springer Series in Materials Science, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15856-8_3
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