Nuclear spin relaxation rate of magnetic impurities in quantum Hall effect systems

The magnetic field dependence of the local phonon-assisted nuclear spin relaxation rate in two-dimensional electron systems with magnetic impurities is studied theoretically. For weak- and strong-scattering limits under strong magnetic fields we show that the magnetic field dependence of T₁⁻¹ exhibits giant spikes, due to the energy matching of the electron Zeeman splitting with the energy spacing between the vibrational mode energies. The localized mode is created by the lattice distortion around the impurity. This resonance phenomenon could be used as a local probe for studying the localized vibrational modes and their coupling to electrons and for the resonant manipulation of the nuclear spin qubits. Possible applications to the future nuclear spin-qubit based quantum computation and communication devices are discussed.