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A single-channel quantum wire with two well-separated Zeeman subbands and inthe presence of a weak spin-orbit coupling is considered. An impurity levelwhich is split off the upper subband is degenerate with the continuum of thelower subband. We show that, when the Fermi level lies in the vicinity of theimpurity level, the transport is completely blocked. This is the manifestationof the effect of resonant reflection and can be viewed as resonant tunnelingbetween left-moving and right-moving electrons via the impurity level. Weincorporate electron-electron interactions and study their effect on the shapeof the resonant-reflection profile. This profile becomes a two-peak structure,where one peak is caused by resonant reflection itself, while the origin of theother peak is reflection from the Friedel oscillations of the electron densitysurrounding the impurity.

Resonant reflection of interacting electrons from an impurity in a quantum wire: interplay of Zeeman and spin-orbit effects