Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot

Details Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot

2005-10-14

arxiv.org/abs/cond-mat/0510379v3

Phys. Rev. B 73 241303(R) (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.73.241303

We analytically solve the {\it Non-Markovian} single electron spin dynamics due to hyperfine interaction with surrounding nuclei in a quantum dot. We use the equation-of-motion method assisted with a large field expansion, and find that virtual nuclear spin flip-flops mediated by the electron contribute significantly to a complete decoherence of transverse electron spin correlation function. Our results show that a 90% nuclear polarization can enhance the electron spin $T_2$ time by almost two orders of magnitude. In the long time limit, the electron spin correlation function has a non-exponential $1/t^2$ decay in the presence of both polarized and unpolarized nuclei.

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