Scattering on the lateral one-dimensional superlattice with spin-orbit coupling

The problem of scattering of the two-dimensional electron gas on the lateral one-dimensional superlattice both having different strengths of Rashba spin-orbit coupling is investigated. The scattering is considered for all the electron states on a given Fermi level. The distribution of spin density components along the superlattice is studied for the transmitted states where the formation of standing waves is observed. It is found that the shape of spin density distribution is robust against the variations of the Rashba coupling constants and the Fermi level in the electron gas.