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We investigated the effect due to perpendicular magnetic field on quantumwires where spin-orbit interaction (SOI) of electrons is not neglected. Basedon the calculated energy dispersion, the nonlinear ballistic conductance ($G$)and electron-diffusion thermoelectric power ($S_d$) are calculated as functionsof electron density, temperature and applied bias voltage. A low-temperaturehalf-step feature in $G$, which was observed experimentally by Quay et al. [seeNature Physics {\bf 6}, 336 (2010)], as well as a new peak in $S_d$ arereproduced here in the low density regime. These phenomena are related to theoccurrence of the Zeeman splitting and SOI induced saddle point in the bandstructure, where the channel chemical potential lies within an anticrossing gapbetween the saddle point of the lower subband and the bottom of the uppersubband. Additionally, side peaks in $G$ far away from the zero bias for thenonlinear transport, as well as a quadratic bias-voltage dependence of $G$ nearzero voltage, are predicted and discussed.

A half-step in quantized conductance for low-density electrons in a quantum wire