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. 2014 Sep 10;5:4822. doi: 10.1038/ncomms5822

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(a) Due to the extended donor wavefunction, the P-donor electron spin (blue arrow) interacts with a bath of ²⁹Si nuclear spins (magenta arrows) possessing various many-body correlations. (b) Topologically inequivalent connected diagrams (LCE diagrams) corresponding to different many-body correlations in the nuclear spin bath: (I) V₂—second-order pairwise flip-flop diagram, (II–V) V_4z—fourth-order diagonal interaction renormalized pairwise flip-flop diagrams. Here the nuclear spin operators are represented in turn by filled circles, empty circles or empty squares. The off-diagonal (diagonal) interaction terms are represented by wavy (dashed) lines. The solid arrows represent nuclear spin correlation functions between and (or ) with the arrows indicating the direction of time propagation.

Inline graphic — (a) Due to the extended donor wavefunction, the P-donor electron spin (blue arrow) interacts with a bath of ²⁹Si nuclear spins (magenta arrows) possessing various many-body correlations. (b) Topologically inequivalent connected diagrams (LCE diagrams) corresponding to different many-body correlations in the nuclear spin bath: (I) V₂—second-order pairwise flip-flop diagram, (II–V) V_4z—fourth-order diagonal interaction renormalized pairwise flip-flop diagrams. Here the nuclear spin operators are represented in turn by filled circles, empty circles or empty squares. The off-diagonal (diagonal) interaction terms are represented by wavy (dashed) lines. The solid arrows represent nuclear spin correlation functions between and (or ) with the arrows indicating the direction of time propagation.