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Exchange Interaction between Paramagnetic Centers and Valence Band Electrons in Semiconductors with Cubic Lattices
Author(s) -
Semenov Yu. G.,
Shanina B. D.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221040229
Subject(s) - hamiltonian (control theory) , paramagnetism , condensed matter physics , exchange interaction , electron , ion , semiconductor , valence (chemistry) , physics , cubic crystal system , coupling constant , valence electron , chemistry , core electron , electronic band structure , atomic physics , quantum mechanics , ferromagnetism , mathematics , mathematical optimization
A Hamiltonian is derived for the exchange interaction between paramagnetic ions and electrons from the bands Γ 6 , Γ 7 , Γ 8 , that is the result of the splitting Γ′ 15 , Γ′ 25 , by the spin‐orbit interaction of arbitrary intensity Δ so in semiconductors with cubic lattices. It is shown that, Δ so being sufficiently large, the Hamiltonian of each splitted subzone is of Heisenberg form. Formulas are derived and numerical estimations are carried out for the exchange interaction constants; the relation of the latter to the crystal band structure is discussed. The sign difference which was discovered experimentally earlier for the constants of exchange coupling between 3d ions and electrons of valence and conduction bands in A II B VI :Mn 2+ crystals is explained by the results of the theory.