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We study decoherence processes of an S = 1/2 localized spin coupled toconduction band electrons in a metal or a semiconductor via an Ising-likeinteraction. We derive master equations for the density matrix of the localizedspin, by tracing out all degrees of freedom in the conduction electron systembased on the linked-cluster-expansion technique. It is found that thedecoherence occurs more rapidly for the metallic case than for semiconductingcase.Comment: to appear in J. Appl. Phy

Decoherence processes of a quantum two-level system coupled to a fermionic environment