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Fano resonances in the magnetoresistance of a quantum wire doped with magnetic impurities.

We calculate the scattering of conduction electrons from a magnetic impurity in an electron waveguide. A weak external magnetic field gives rise to Zeeman splitting of the waveguide modes. We find a Fano resonance in the conductance versus Fermi energy when the electrons from one Zeeman band scatter by a coherent spin-flip process into a bound state formed from the other Zeeman band. These conductance resonances should be experimentally observable in systems where the localized impurity moment is larger than the magnetic moment of the conduction electrons, such as Yb- or Er-doped GaAs quantum wires.