Magnetomagnon resonances and oscillations of conductivity in diluted magnetic semiconductor quantum wires

We set up a theory of magnetomagnon resonances in diluted magnetic semiconductor quantum wires in the case of electron-magnon scattering. The magnetoconductivity σ x x is calculated using the usual Kubo formula. We found that for a nondegenerate statistics of quasi-one-dimensional electron gas σ x x shows oscillatory behavior characteristic of structures presenting manifestations of the size quantization effect in the presence of a quantizing magnetic field. Moreover, magnetomagnon resonances are predicted in the σ x x behavior as function of the electron cyclotron frequency. Another contribution to the conductivity σ p c , which is caused by the current carried by electron motion affected by the confinement potential, is calculated. As the confinement potential increases, for a fixed magnetic field value, σ p c decreases steeply similar to the case of GaAs quantum wires. For typical parameters of a Ga 1 − x Mn x As quantum wire we find σ x x = 10 − 9 S for a magnetic field of 10 T and temperature T = 20 K . This magnon effect is two orders of magnitude greater than the magnetoconductivity due to phonons as reported in the literature thereby implying that in diluted magnetic semiconductor Ga 1 − x Mn x As quantum wires the exchange interaction is the main electron interaction channel.