We study the magnetoresistance (MR) of a one-dimensional electron gas in a ferromagnetic semiconducting nanocontact containing an atomic-size domain wall, and in the presence of the Rashba and the Dresselhaus spin–orbit interactions. The MR is calculated in the ballistic regime, within the Landauer– Bu¨ttiker formalism. It is shown that, the Dresselhaus spin–orbit interaction which is the result of bulk-induced inversion asymmetry makes a reduction in the domain wall MR. In contrast, the Rashba coupling may lead to a negative or positive change in the domain wall MR, depending on the Fermi energy and the lateral confinement potentials which can be induced by both parabolic lateral confinement and lateral gate potentials.
