Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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8 Kluwer pages, 2 figures. Proceedings of the conference HFI2004 (Bonn, Germany 23-27 August 2004). To appear in Hyperfine Int

Scientific paper

10.1007/s10751-005-9039-x

We review our theoretical work on the dynamics of a localized electron spin interacting with an environment of nuclear spins. Our perturbative calculation is valid for arbitrary polarization p of the nuclear spin system and arbitrary nuclear spin I in a sufficiently large magnetic field. In general, the electron spin shows rich dynamics, described by a sum of contributions with exponential decay, non-exponential decay, and undamped oscillations. We have found an abrupt crossover in the long-time spin dynamics at a critical shape and dimensionality of the electron envelope wave function. We conclude with a discussion of our proposed scheme to measure the relevant dynamics using a standard spin-echo technique.

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