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Indirect exchange interaction via electrons in spin–orbit coupled bands in semiconductors
Author(s) -
Ginter J.,
Kossut J.,
Świerkowski L.
Publication year - 1979
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.2220960230
Subject(s) - hamiltonian (control theory) , physics , semiconductor , condensed matter physics , electron , coupling constant , rkky interaction , spin–orbit interaction , exchange interaction , magnetic moment , coupling (piping) , symmetry (geometry) , quantum mechanics , ferromagnetism , materials science , mathematics , mathematical optimization , geometry , metallurgy
Indirect coupling between two localized magnetic moments in a semiconductor is considered. This coupling may be of two origins: due to intraband electron transitions (RKKY) and virtual interband transitions, the latter being of particular importance in materials considered. Strong spinorbit coupling between electronic bands leads to a complicated form of the effective Hamiltonian. It no longer contains a Heisenberg term only. The number of independent constants describing the interaction depends on the symmetry of the interacting pair. The special case of zincblende structure is considered. Several simple models are reviewed and found insufficient to describe the indirect interaction, at least for closely lying moments, a fact which stresses the necessity of numerical calculations.