Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Published version, new title suggested by the PRL editor

Scientific paper

10.1103/PhysRevLett.102.057601

We investigate pure dephasing decoherence (free induction decay and spin echo) of a spin qubit interacting with a nuclear spin bath. While for infinite magnetic field B the only decoherence mechanism is spectral diffusion due to dipolar flip-flops of nuclear spins, with decreasing B the hyperfine-mediated interactions between the nuclear spins become important. We give a theory of decoherence due to these interactions which takes advantage of their long-range nature. For a thermal uncorrelated bath we show that our theory is applicable down to B~10 mT, allowing for comparison with recent experiments in GaAs quantum dots.

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