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We analyze the polarization of nuclear spins in a quantum dot induced by asingle-electron spin that is electrically driven to perform coherent Rabioscillations. We derive the associated nuclear-spin polarization rate andanalyze its dependence on the accessible control parameters, especially thedetuning of the driving frequency from the electron Larmor frequency. Thearising nuclear-spin polarization is related to the Hartmann-Hahn effect knownfrom the NMR literature with two important differences. First, in quantum dotsone typically uses a micro magnet, leading to a small deflection of thequantization axes of the electron and nuclear spins. Second, the electricdriving wiggles the electron with respect to the atomic lattice. The twoeffects, absent in the traditional Hartmann-Hahn scenario, give rise to twomechanisms of nuclear-spin polarization in gated quantum dots. The arisingnuclear-spin polarization is a resonance phenomenon, achieving maximalefficiency at the resonance of the electron Rabi and nuclear Larmor frequency(typically a few or a few tens of MHz). As a function of the driving frequency,the polarization rate can develop sharp peaks and reach large values at them.Since the nuclear polarization is experimentally detected as changes of theelectron Larmor frequency, we often convert the former to the latter in ourformulas and figures. In these units, the polarization can reach hundreds ofMHz/s in GaAs quantum dots and at least tens of kHz/s in Si quantum dots. Weanalyze possibilities to exploit the resonant polarization effects forachieving large nuclear polarization and for stabilizing the Overhauser fieldthrough feedback.

Dynamical nuclear spin polarization in a quantum dot with an electron spin driven by electric dipole spin resonance