Abstract

A quantitative theory of the acceptor ground state in cubic semimagnetic semiconductors in a magnetic field is developed. The theory incorporates the exchange interaction into the Λ8 valence band effective mass hamiltonian. The spherical tensor operators and reduced matrix elements technique are used in order to solve variationally the eigen value problem. The results enable us to follow the development of four Zeeman-split sublevels of the acceptor ground state over the entire range of the magnetic field. They confirm the qualitative prediction, that in cubic semimagnetic semiconductors, contrary to what is observed in normal semiconductors, the acceptor binding energy initially decreases and then gradually increases with increasing magnetic field. The numerical results agree reasonably with experimental data.

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