Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-11-25
Phys. Rev. B 68, 115322 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
15 pages, 9 figures. Accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.68.115322
We propose a model for spectral diffusion of localized spins in semiconductors due to the dipolar fluctuations of lattice nuclear spins. Each nuclear spin flip-flop is assumed to be independent, the rate for this process being calculated by a method of moments. Our calculated spin decoherence time $T_{M}=0.64$ ms for donor electron spins in Si:P is a factor of two longer than spin echo decay measurements. For $^{31}$P nuclear spins we show that spectral diffusion is well into the motional narrowing regime. The calculation for GaAs quantum dots gives $T_{M}=10-50$ $\mu$s depending on the quantum dot size. Our theory indicates that nuclear induced spectral diffusion should not be a serious problem in developing spin-based semiconductor quantum computer architectures.
Sarma Sankar Das
Sousa Rogerio de
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