Abstract
The spin Hall polarization in ballistic Rashba systems is studied by considering both the contributions of extended and localized states simultaneously. In a narrow Rashba strip, the localized states are found to contribute dominantly to the total polarization; while in a wide strip, it is the extended states that determine the behavior of total polarization. Since the contributions from the two kinds of states are of opposite signs, their competition leads to the spin flipping of the total polarization with the variation of sample width or Rashba strength. The critical flipping width of the sample is found to be closely related to the characteristic length of the Rashba system. It is expected that the flipping phenomenon would be detectable in the ballistic transport experiments. While in a semi-infinite Rashba system, the spin polarization of the extended and localized states are both positive and no spin flipping would occur.
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