Abstract
A theory is developed for the formation of a nuclear spin polaron under optical cooling of nuclear spins in the vicinity of donor centers. It is shown that the polaron does not form above a certain limiting nuclear-spin temperature. For a shallow donor in GaAs, this temperature is about 10−7 K. The formation of a nuclear spin polaron should manifest itself in an anomalous increase of the spin relaxation time of the total spin of its component nuclei.
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