Relaxation of Shallow Donor Electron Spin due to Interaction with Nuclear Spin Bath

Abstract

We study the low-temperature dynamics of a shallow donor, e.g., ${}^{31}$P, impurity electron spin in silicon, interacting with the bath of nuclear spins of the ${}^{29}$Si isotope. For small applied magnetic fields, the electron spin relaxation is controlled by the steady state distribution of the nuclear spins. We calculate the relaxation times $T_1$ and $T_2$ as functions of the external magnetic field, and conclude that nuclear spins play an important role in the donor electron spin decoherence in Si:P at low magnetic fields.

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References in corpus (2)

• Indirect Interaction of Solid-State Qubits via Two-Dimensional Electron Gas
• Fast Incomplete Decoherence of Nuclear Spins in Quantum Hall Ferromagnet

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