Abstract

Using a simple model of central spin interacting with a spin bath, we study the decoherence of single electron spin states in quantum dots within one-, two- and three-dimensional nanostructure geometries. We consider a one-component hyperfine interaction term and express its strength as a smooth function of position vector. Decoherence measures are evaluated and plotted for various initial states, and we notice a decrease in decoherence time with the reduction of spin-bath dimension.

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