Electron-electron interactions in a one-dimensional quantum wire spin   filter
  The combined presence of a Rashba and a Zeeman effect in a ballistic one-dimensional conductor generates a spin pseudogap and the possibility to propagate a beam with well defined spin orientation. Without interactions transmission through a barrier gives a relatively well polarized beam. Using renormalization group arguments, we examine how electron-electron interactions may affect the transmission coefficient and the polarization of the outgoing beam. 
P. Devillard, A. Crepieux, K.I. Imura and T. Martin