Charge- and spin-density modulations in semiconductor quantum wires

We investigate static charge- and spin-density modulation patterns along a ferromagnet-semiconductor single-junction quantum wire in the presence of spin-orbit coupling. Coherent scattering theory is used to calculate the charge and spin densities in the ballistic regime. The observed oscillatory behavior is explained in terms of the symmetry of the charge and spin distributions of eigenstates in the semiconductor quantum wire. Also, we discuss the condition that these charge- and spin-density oscillations can be observed experimentally.