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We investigate the transfer between carrier and Mn spins due to thes-d-exchange interaction in a Mn doped bulk semiconductor within a microscopicquantum kinetic theory. We demonstrate that the spin transfer dynamics isqualitatively different for components of the carrier spin parallel andperpendicular to the Mn magnetization. From our quantum kinetic equations wehave worked out the corresponding Markov limit which is equivalent to rateequations based on Fermi's golden rule. The resulting equations resemble thewidely used Landau-Lifshitz-Gilbert-equations, but also describe genuine spintransfer due to quantum corrections. Although it is known that the Markovianrate description works well for bulk systems when the initial Mn magnetizationis zero, we find large qualitative deviations from the full quantum kinetictheory for finite initial Mn magnetizations. These deviations mainly reflectcorrections of higher than leading order in the interaction which are notaccounted for in golden rule-type rates.

physical review b

Comparison between a quantum kinetic theory of spin transfer dynamics in  Mn doped bulk semiconductors and its Markov limit for non-zero Mn  magnetization